Abstract

The complete polarization state of the degenerate four-wave mixing signal from a GaAs/AlxGa1-xAs multiple quantum well is determined by time resolution of all four of its Stokes parameters as a function of the relative angle between the two linear input polarizations. The degree of ellipticity and the orientation of the polarization ellipse are both observed to vary dramatically in time, and the temporal evolution is found to depend strongly on the orientation of the input polarizations. These time-resolved results are shown to be consistent with previous measurements of the time-integrated Stokes parameters and to provide new constraints for physical models. The results are shown to be qualitatively consistent with a phenomenological model requiring the inclusion of both many-body interactions and biexcitonic effects.

© 1996 Optical Society of America

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  1. R. T. Phillips, ed., Coherent Optical Interactions in Semiconductors (Plenum, New York, 1994), and references therein.
    [CrossRef]
  2. D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
    [CrossRef] [PubMed]
  3. S. T. Cundiff, H. Wang, and D. G. Steel, “Polarization-dependent picosecond excitonic nonlinearities and the complexities of disorder,” Phys. Rev. B 46, 7248–7251 (1992).
    [CrossRef]
  4. S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
    [CrossRef]
  5. S. T. Cundiff and D. G. Steel, “Coherent transient spectroscopy of excitons in GaAs–AlGaAs quantum wells,” IEEE J. Quantum Electron. 28, 2423–2433 (1992).
    [CrossRef]
  6. D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
    [CrossRef]
  7. K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
    [CrossRef]
  8. R. Eccleston, J. Kuhl, D. Bennhardt, and P. Thomas, “Intensity dependent four-wave-mixing polarization rules in quantum wells,” Solid State Commun. 86, 93–97 (1993).
    [CrossRef]
  9. H. H. Yaffe, Y. Prior, J. P. Harbison, and L. T. Florez, “Polarization dependence and selection rules of transient four-wave mixing in GaAs quantum-well excitons,” J. Opt. Soc. Am. B 10, 578–583 (1993).
    [CrossRef]
  10. H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
    [CrossRef] [PubMed]
  11. T. Rappen, U. G. Peter, M. Wegener, and W. Schäfer, “Polarization dependence of dephasing processes: a probe for many body effects,” Phys. Rev. B 49, 10774–10777 (1994).
    [CrossRef]
  12. Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
    [CrossRef]
  13. D. G. Steel, H. Wang, M. Jiang, K. Farrio, and S. T. Cundiff, “Nonlinear coherent optical effects in semiconductors,” in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), pp. 157–179.
    [CrossRef]
  14. H. Wang, J. Shah, T. C. Damen, and L. N. Pfeiffer, “Polarization-dependent coherent nonlinear optical response in GaAs quantum well: dominant effects of two-photon coherence between ground and biexciton states,” Solid State Commun. 91, 869–874 (1994).
    [CrossRef]
  15. T. Saiki, M. Kuwata-Gonokami, T. Matsusue, and H. Sakaki, “Photon echo induced by two-exciton coherence in a GaAs quantum well,” Phys. Rev. B 49, 7817–7820 (1994).
    [CrossRef]
  16. D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
    [CrossRef]
  17. E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
    [CrossRef]
  18. H. Schneider and K. Ploog, “Photon echoes and free-polarization decay in GaAs/AlAs multiple quantum wells: polarization and time dependence,” Phys. Rev. B 49, 17050–17054 (1994).
    [CrossRef]
  19. S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
    [CrossRef]
  20. E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
    [CrossRef]
  21. K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
    [CrossRef] [PubMed]
  22. M. Wegener, D. S. Chemla, S. Schmitt-Rink, and W. Shäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990).
    [CrossRef] [PubMed]
  23. K. Leo, “Time-resolved four-wave mixing of exciton transitions in GaAs/AlGaAs quantum wells: novel effects in the lineshape,” Appl. Phys. A 53, 118–122 (1991).
    [CrossRef]
  24. K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
    [CrossRef]
  25. S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
    [CrossRef] [PubMed]
  26. S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
    [CrossRef] [PubMed]
  27. J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
    [CrossRef] [PubMed]
  28. W. Schäfer, F. Jahnke, and S. Schmitt-Rink, “Many-particle effects on transient four-wave-mixing signals in semiconductors,” Phys. Rev. B 47, 1217–1220 (1993).
    [CrossRef]
  29. L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu, “Ultrafast phase relaxation of excitons via exciton –exciton and exciton– electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
    [CrossRef] [PubMed]
  30. A. Honold, L. Schultheis, J. Kuhl, and C. W. Tu, “Collision broadening of two-dimensional excitons in a GaAs single quantum well,” Phys. Rev. B 40, 6442–6445 (1989).
    [CrossRef]
  31. B. F. Feuerbacher, J. Kuhl, and K. Ploog, “Biexcitonic contribution to the degenerate-four-wave-mixing signal from a GaAs/Alx Ga1-x As quantum well,” Phys. Rev. B 43, 2439–2441 (1991).
    [CrossRef]
  32. R. Raj, I. Abram, and J. A. Levenson, “Multiphoton transitions in high intensity optical coherent transients in multiple quantum wells,” Solid State Commun. 81, 51–53 (1992).
    [CrossRef]
  33. S. Bar-Ad and I. Bar-Joseph, “Exciton spin dynamics in GaAs heterostructures,” Phys. Rev. Lett. 68, 349–352 (1992).
    [CrossRef] [PubMed]
  34. D. J. Lovering, R. T. Phillips, G. J. Denton, and G. W. Smith, “Resonant generation of biexcitons in a GaAs quantum well,” Phys. Rev. Lett. 68, 1880–1883 (1992).
    [CrossRef] [PubMed]
  35. K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
    [CrossRef]
  36. For a detailed description, see R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1988), pp. 55–65.
  37. A. M. Weiner, S. De Silvestri, and E. P. Ippen, “Three-pulse scattering for femtosecond dephasing studies: theory and experiment,” J. Opt. Soc. Am. B 2, 654–661 (1985).
    [CrossRef]
  38. A. L. Ivanov and H. Haug, “Self-consistent theory of the biexciton optical nonlinearity,” Phys. Rev. B 48, 1490–1504 (1993).
    [CrossRef]

1995 (2)

S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

1994 (7)

T. Rappen, U. G. Peter, M. Wegener, and W. Schäfer, “Polarization dependence of dephasing processes: a probe for many body effects,” Phys. Rev. B 49, 10774–10777 (1994).
[CrossRef]

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

H. Wang, J. Shah, T. C. Damen, and L. N. Pfeiffer, “Polarization-dependent coherent nonlinear optical response in GaAs quantum well: dominant effects of two-photon coherence between ground and biexciton states,” Solid State Commun. 91, 869–874 (1994).
[CrossRef]

T. Saiki, M. Kuwata-Gonokami, T. Matsusue, and H. Sakaki, “Photon echo induced by two-exciton coherence in a GaAs quantum well,” Phys. Rev. B 49, 7817–7820 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

H. Schneider and K. Ploog, “Photon echoes and free-polarization decay in GaAs/AlAs multiple quantum wells: polarization and time dependence,” Phys. Rev. B 49, 17050–17054 (1994).
[CrossRef]

1993 (9)

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
[CrossRef] [PubMed]

W. Schäfer, F. Jahnke, and S. Schmitt-Rink, “Many-particle effects on transient four-wave-mixing signals in semiconductors,” Phys. Rev. B 47, 1217–1220 (1993).
[CrossRef]

K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
[CrossRef]

D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

R. Eccleston, J. Kuhl, D. Bennhardt, and P. Thomas, “Intensity dependent four-wave-mixing polarization rules in quantum wells,” Solid State Commun. 86, 93–97 (1993).
[CrossRef]

A. L. Ivanov and H. Haug, “Self-consistent theory of the biexciton optical nonlinearity,” Phys. Rev. B 48, 1490–1504 (1993).
[CrossRef]

H. H. Yaffe, Y. Prior, J. P. Harbison, and L. T. Florez, “Polarization dependence and selection rules of transient four-wave mixing in GaAs quantum-well excitons,” J. Opt. Soc. Am. B 10, 578–583 (1993).
[CrossRef]

1992 (8)

R. Raj, I. Abram, and J. A. Levenson, “Multiphoton transitions in high intensity optical coherent transients in multiple quantum wells,” Solid State Commun. 81, 51–53 (1992).
[CrossRef]

S. Bar-Ad and I. Bar-Joseph, “Exciton spin dynamics in GaAs heterostructures,” Phys. Rev. Lett. 68, 349–352 (1992).
[CrossRef] [PubMed]

D. J. Lovering, R. T. Phillips, G. J. Denton, and G. W. Smith, “Resonant generation of biexcitons in a GaAs quantum well,” Phys. Rev. Lett. 68, 1880–1883 (1992).
[CrossRef] [PubMed]

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

S. T. Cundiff, H. Wang, and D. G. Steel, “Polarization-dependent picosecond excitonic nonlinearities and the complexities of disorder,” Phys. Rev. B 46, 7248–7251 (1992).
[CrossRef]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

S. T. Cundiff and D. G. Steel, “Coherent transient spectroscopy of excitons in GaAs–AlGaAs quantum wells,” IEEE J. Quantum Electron. 28, 2423–2433 (1992).
[CrossRef]

S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
[CrossRef] [PubMed]

1991 (4)

K. Leo, “Time-resolved four-wave mixing of exciton transitions in GaAs/AlGaAs quantum wells: novel effects in the lineshape,” Appl. Phys. A 53, 118–122 (1991).
[CrossRef]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
[CrossRef] [PubMed]

B. F. Feuerbacher, J. Kuhl, and K. Ploog, “Biexcitonic contribution to the degenerate-four-wave-mixing signal from a GaAs/Alx Ga1-x As quantum well,” Phys. Rev. B 43, 2439–2441 (1991).
[CrossRef]

1990 (2)

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

M. Wegener, D. S. Chemla, S. Schmitt-Rink, and W. Shäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990).
[CrossRef] [PubMed]

1989 (1)

A. Honold, L. Schultheis, J. Kuhl, and C. W. Tu, “Collision broadening of two-dimensional excitons in a GaAs single quantum well,” Phys. Rev. B 40, 6442–6445 (1989).
[CrossRef]

1986 (1)

L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu, “Ultrafast phase relaxation of excitons via exciton –exciton and exciton– electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
[CrossRef] [PubMed]

1985 (1)

Abram, I.

R. Raj, I. Abram, and J. A. Levenson, “Multiphoton transitions in high intensity optical coherent transients in multiple quantum wells,” Solid State Commun. 81, 51–53 (1992).
[CrossRef]

Azzam, R. M. A.

For a detailed description, see R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1988), pp. 55–65.

Bakker, H.

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Bar-Ad, S.

S. Bar-Ad and I. Bar-Joseph, “Exciton spin dynamics in GaAs heterostructures,” Phys. Rev. Lett. 68, 349–352 (1992).
[CrossRef] [PubMed]

Bar-Joseph, I.

S. Bar-Ad and I. Bar-Joseph, “Exciton spin dynamics in GaAs heterostructures,” Phys. Rev. Lett. 68, 349–352 (1992).
[CrossRef] [PubMed]

Bashara, N. M.

For a detailed description, see R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1988), pp. 55–65.

Bennhardt, D.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

R. Eccleston, J. Kuhl, D. Bennhardt, and P. Thomas, “Intensity dependent four-wave-mixing polarization rules in quantum wells,” Solid State Commun. 86, 93–97 (1993).
[CrossRef]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Bigot, J.-Y.

J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
[CrossRef] [PubMed]

S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
[CrossRef] [PubMed]

Binder, R.

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

Bolger, J. A.

S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
[CrossRef]

Bott, K.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

Chemla, D. S.

J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
[CrossRef] [PubMed]

S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
[CrossRef] [PubMed]

S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
[CrossRef] [PubMed]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

M. Wegener, D. S. Chemla, S. Schmitt-Rink, and W. Shäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990).
[CrossRef] [PubMed]

Cundiff, S. T.

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

S. T. Cundiff and D. G. Steel, “Coherent transient spectroscopy of excitons in GaAs–AlGaAs quantum wells,” IEEE J. Quantum Electron. 28, 2423–2433 (1992).
[CrossRef]

S. T. Cundiff, H. Wang, and D. G. Steel, “Polarization-dependent picosecond excitonic nonlinearities and the complexities of disorder,” Phys. Rev. B 46, 7248–7251 (1992).
[CrossRef]

D. G. Steel, H. Wang, M. Jiang, K. Farrio, and S. T. Cundiff, “Nonlinear coherent optical effects in semiconductors,” in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), pp. 157–179.
[CrossRef]

Damen, T. C.

H. Wang, J. Shah, T. C. Damen, and L. N. Pfeiffer, “Polarization-dependent coherent nonlinear optical response in GaAs quantum well: dominant effects of two-photon coherence between ground and biexciton states,” Solid State Commun. 91, 869–874 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

De Silvestri, S.

Denton, G. J.

D. J. Lovering, R. T. Phillips, G. J. Denton, and G. W. Smith, “Resonant generation of biexcitons in a GaAs quantum well,” Phys. Rev. Lett. 68, 1880–1883 (1992).
[CrossRef] [PubMed]

Eccleston, R.

D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

R. Eccleston, J. Kuhl, D. Bennhardt, and P. Thomas, “Intensity dependent four-wave-mixing polarization rules in quantum wells,” Solid State Commun. 86, 93–97 (1993).
[CrossRef]

Farrio, K.

D. G. Steel, H. Wang, M. Jiang, K. Farrio, and S. T. Cundiff, “Nonlinear coherent optical effects in semiconductors,” in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), pp. 157–179.
[CrossRef]

Ferrio, K.

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

Feuerbacher, B. F.

B. F. Feuerbacher, J. Kuhl, and K. Ploog, “Biexcitonic contribution to the degenerate-four-wave-mixing signal from a GaAs/Alx Ga1-x As quantum well,” Phys. Rev. B 43, 2439–2441 (1991).
[CrossRef]

Florez, L. T.

Ganser, P.

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

Göbel, E. O.

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

Harbison, J. P.

Haring, P.

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Haug, H.

A. L. Ivanov and H. Haug, “Self-consistent theory of the biexciton optical nonlinearity,” Phys. Rev. B 48, 1490–1504 (1993).
[CrossRef]

Heller, O.

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

Heuckeroth, V.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Hey, R.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

Honold, A.

A. Honold, L. Schultheis, J. Kuhl, and C. W. Tu, “Collision broadening of two-dimensional excitons in a GaAs single quantum well,” Phys. Rev. B 40, 6442–6445 (1989).
[CrossRef]

L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu, “Ultrafast phase relaxation of excitons via exciton –exciton and exciton– electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
[CrossRef] [PubMed]

Hu, Y. Z.

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

Hu, Z.

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

Hvam, J. M.

K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
[CrossRef]

Ippen, E. P.

Ivanov, A. L.

A. L. Ivanov and H. Haug, “Self-consistent theory of the biexciton optical nonlinearity,” Phys. Rev. B 48, 1490–1504 (1993).
[CrossRef]

Jahnke, F.

W. Schäfer, F. Jahnke, and S. Schmitt-Rink, “Many-particle effects on transient four-wave-mixing signals in semiconductors,” Phys. Rev. B 47, 1217–1220 (1993).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

Jiang, M.

D. G. Steel, H. Wang, M. Jiang, K. Farrio, and S. T. Cundiff, “Nonlinear coherent optical effects in semiconductors,” in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), pp. 157–179.
[CrossRef]

Kim, D. S.

D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Koch, S. W.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

Köhler, K.

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

Kuhl, J.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

R. Eccleston, J. Kuhl, D. Bennhardt, and P. Thomas, “Intensity dependent four-wave-mixing polarization rules in quantum wells,” Solid State Commun. 86, 93–97 (1993).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
[CrossRef]

B. F. Feuerbacher, J. Kuhl, and K. Ploog, “Biexcitonic contribution to the degenerate-four-wave-mixing signal from a GaAs/Alx Ga1-x As quantum well,” Phys. Rev. B 43, 2439–2441 (1991).
[CrossRef]

A. Honold, L. Schultheis, J. Kuhl, and C. W. Tu, “Collision broadening of two-dimensional excitons in a GaAs single quantum well,” Phys. Rev. B 40, 6442–6445 (1989).
[CrossRef]

L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu, “Ultrafast phase relaxation of excitons via exciton –exciton and exciton– electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
[CrossRef] [PubMed]

Kuwata-Gonokami, M.

T. Saiki, M. Kuwata-Gonokami, T. Matsusue, and H. Sakaki, “Photon echo induced by two-exciton coherence in a GaAs quantum well,” Phys. Rev. B 49, 7817–7820 (1994).
[CrossRef]

Leo, K.

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
[CrossRef] [PubMed]

K. Leo, “Time-resolved four-wave mixing of exciton transitions in GaAs/AlGaAs quantum wells: novel effects in the lineshape,” Appl. Phys. A 53, 118–122 (1991).
[CrossRef]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

Levenson, J. A.

R. Raj, I. Abram, and J. A. Levenson, “Multiphoton transitions in high intensity optical coherent transients in multiple quantum wells,” Solid State Commun. 81, 51–53 (1992).
[CrossRef]

Lovering, D. J.

D. J. Lovering, R. T. Phillips, G. J. Denton, and G. W. Smith, “Resonant generation of biexcitons in a GaAs quantum well,” Phys. Rev. Lett. 68, 1880–1883 (1992).
[CrossRef] [PubMed]

Lyssenko, V. G.

K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
[CrossRef]

Maidorn, G.

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Matsusue, T.

T. Saiki, M. Kuwata-Gonokami, T. Matsusue, and H. Sakaki, “Photon echo induced by two-exciton coherence in a GaAs quantum well,” Phys. Rev. B 49, 7817–7820 (1994).
[CrossRef]

Mayer, E. J.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

Meier, T.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

Mukamel, S.

S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
[CrossRef] [PubMed]

Müller, J. F.

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

Mycek, M.-A.

J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
[CrossRef] [PubMed]

S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
[CrossRef] [PubMed]

Oberhauser, D.

K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
[CrossRef]

Pantke, K.-H.

K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
[CrossRef]

Patkar, S.

S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
[CrossRef]

Paul, A. E.

S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
[CrossRef]

Peter, U. G.

T. Rappen, U. G. Peter, M. Wegener, and W. Schäfer, “Polarization dependence of dephasing processes: a probe for many body effects,” Phys. Rev. B 49, 10774–10777 (1994).
[CrossRef]

Pfeiffer, L. N.

H. Wang, J. Shah, T. C. Damen, and L. N. Pfeiffer, “Polarization-dependent coherent nonlinear optical response in GaAs quantum well: dominant effects of two-photon coherence between ground and biexciton states,” Solid State Commun. 91, 869–874 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
[CrossRef]

Phillips, R. T.

D. J. Lovering, R. T. Phillips, G. J. Denton, and G. W. Smith, “Resonant generation of biexcitons in a GaAs quantum well,” Phys. Rev. Lett. 68, 1880–1883 (1992).
[CrossRef] [PubMed]

Ploog, K.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

H. Schneider and K. Ploog, “Photon echoes and free-polarization decay in GaAs/AlAs multiple quantum wells: polarization and time dependence,” Phys. Rev. B 49, 17050–17054 (1994).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

B. F. Feuerbacher, J. Kuhl, and K. Ploog, “Biexcitonic contribution to the degenerate-four-wave-mixing signal from a GaAs/Alx Ga1-x As quantum well,” Phys. Rev. B 43, 2439–2441 (1991).
[CrossRef]

Prior, Y.

Raj, R.

R. Raj, I. Abram, and J. A. Levenson, “Multiphoton transitions in high intensity optical coherent transients in multiple quantum wells,” Solid State Commun. 81, 51–53 (1992).
[CrossRef]

Rappen, T.

T. Rappen, U. G. Peter, M. Wegener, and W. Schäfer, “Polarization dependence of dephasing processes: a probe for many body effects,” Phys. Rev. B 49, 10774–10777 (1994).
[CrossRef]

Saiki, T.

T. Saiki, M. Kuwata-Gonokami, T. Matsusue, and H. Sakaki, “Photon echo induced by two-exciton coherence in a GaAs quantum well,” Phys. Rev. B 49, 7817–7820 (1994).
[CrossRef]

Sakaki, H.

T. Saiki, M. Kuwata-Gonokami, T. Matsusue, and H. Sakaki, “Photon echo induced by two-exciton coherence in a GaAs quantum well,” Phys. Rev. B 49, 7817–7820 (1994).
[CrossRef]

Schäfer, W.

D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
[CrossRef]

T. Rappen, U. G. Peter, M. Wegener, and W. Schäfer, “Polarization dependence of dephasing processes: a probe for many body effects,” Phys. Rev. B 49, 10774–10777 (1994).
[CrossRef]

W. Schäfer, F. Jahnke, and S. Schmitt-Rink, “Many-particle effects on transient four-wave-mixing signals in semiconductors,” Phys. Rev. B 47, 1217–1220 (1993).
[CrossRef]

Schmitt-Rink, S.

W. Schäfer, F. Jahnke, and S. Schmitt-Rink, “Many-particle effects on transient four-wave-mixing signals in semiconductors,” Phys. Rev. B 47, 1217–1220 (1993).
[CrossRef]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
[CrossRef] [PubMed]

S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
[CrossRef] [PubMed]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

M. Wegener, D. S. Chemla, S. Schmitt-Rink, and W. Shäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990).
[CrossRef] [PubMed]

Schneider, H.

H. Schneider and K. Ploog, “Photon echoes and free-polarization decay in GaAs/AlAs multiple quantum wells: polarization and time dependence,” Phys. Rev. B 49, 17050–17054 (1994).
[CrossRef]

Schultheis, L.

A. Honold, L. Schultheis, J. Kuhl, and C. W. Tu, “Collision broadening of two-dimensional excitons in a GaAs single quantum well,” Phys. Rev. B 40, 6442–6445 (1989).
[CrossRef]

L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu, “Ultrafast phase relaxation of excitons via exciton –exciton and exciton– electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
[CrossRef] [PubMed]

Schulze, A.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

Sha, W.

S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
[CrossRef]

Shäfer, W.

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

M. Wegener, D. S. Chemla, S. Schmitt-Rink, and W. Shäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990).
[CrossRef] [PubMed]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

Shah, J.

H. Wang, J. Shah, T. C. Damen, and L. N. Pfeiffer, “Polarization-dependent coherent nonlinear optical response in GaAs quantum well: dominant effects of two-photon coherence between ground and biexciton states,” Solid State Commun. 91, 869–874 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
[CrossRef] [PubMed]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

Smirl, A. L.

S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
[CrossRef]

Smith, G. O.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

Smith, G. W.

D. J. Lovering, R. T. Phillips, G. J. Denton, and G. W. Smith, “Resonant generation of biexcitons in a GaAs quantum well,” Phys. Rev. Lett. 68, 1880–1883 (1992).
[CrossRef] [PubMed]

Steel, D. G.

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

S. T. Cundiff and D. G. Steel, “Coherent transient spectroscopy of excitons in GaAs–AlGaAs quantum wells,” IEEE J. Quantum Electron. 28, 2423–2433 (1992).
[CrossRef]

S. T. Cundiff, H. Wang, and D. G. Steel, “Polarization-dependent picosecond excitonic nonlinearities and the complexities of disorder,” Phys. Rev. B 46, 7248–7251 (1992).
[CrossRef]

D. G. Steel, H. Wang, M. Jiang, K. Farrio, and S. T. Cundiff, “Nonlinear coherent optical effects in semiconductors,” in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), pp. 157–179.
[CrossRef]

Thomas, P.

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

R. Eccleston, J. Kuhl, D. Bennhardt, and P. Thomas, “Intensity dependent four-wave-mixing polarization rules in quantum wells,” Solid State Commun. 86, 93–97 (1993).
[CrossRef]

D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Tu, C. W.

A. Honold, L. Schultheis, J. Kuhl, and C. W. Tu, “Collision broadening of two-dimensional excitons in a GaAs single quantum well,” Phys. Rev. B 40, 6442–6445 (1989).
[CrossRef]

L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu, “Ultrafast phase relaxation of excitons via exciton –exciton and exciton– electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
[CrossRef] [PubMed]

Ulbrich, R. G.

J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
[CrossRef] [PubMed]

Wang, H.

H. Wang, J. Shah, T. C. Damen, and L. N. Pfeiffer, “Polarization-dependent coherent nonlinear optical response in GaAs quantum well: dominant effects of two-photon coherence between ground and biexciton states,” Solid State Commun. 91, 869–874 (1994).
[CrossRef]

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

S. T. Cundiff, H. Wang, and D. G. Steel, “Polarization-dependent picosecond excitonic nonlinearities and the complexities of disorder,” Phys. Rev. B 46, 7248–7251 (1992).
[CrossRef]

D. G. Steel, H. Wang, M. Jiang, K. Farrio, and S. T. Cundiff, “Nonlinear coherent optical effects in semiconductors,” in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), pp. 157–179.
[CrossRef]

Wegener, M.

T. Rappen, U. G. Peter, M. Wegener, and W. Schäfer, “Polarization dependence of dephasing processes: a probe for many body effects,” Phys. Rev. B 49, 10774–10777 (1994).
[CrossRef]

M. Wegener, D. S. Chemla, S. Schmitt-Rink, and W. Shäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990).
[CrossRef] [PubMed]

Wegner, M.

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

Weimann, G.

K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
[CrossRef]

Weiner, A. M.

Weiss, S.

J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
[CrossRef] [PubMed]

S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
[CrossRef] [PubMed]

Yaffe, H. H.

Appl. Phys. A (1)

K. Leo, “Time-resolved four-wave mixing of exciton transitions in GaAs/AlGaAs quantum wells: novel effects in the lineshape,” Appl. Phys. A 53, 118–122 (1991).
[CrossRef]

IEEE J. Quantum Electron. (1)

S. T. Cundiff and D. G. Steel, “Coherent transient spectroscopy of excitons in GaAs–AlGaAs quantum wells,” IEEE J. Quantum Electron. 28, 2423–2433 (1992).
[CrossRef]

J. Opt. Soc. Am. B (2)

Phys. Rev. A (2)

M. Wegener, D. S. Chemla, S. Schmitt-Rink, and W. Shäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990).
[CrossRef] [PubMed]

S. Schmitt-Rink, S. Mukamel, K. Leo, J. Shah, and D. S. Chemla, “Stochastic theory of time-resolved four-wave mixing in interacting media,” Phys. Rev. A 44, 2124–2129 (1991).
[CrossRef] [PubMed]

Phys. Rev. B (18)

W. Schäfer, F. Jahnke, and S. Schmitt-Rink, “Many-particle effects on transient four-wave-mixing signals in semiconductors,” Phys. Rev. B 47, 1217–1220 (1993).
[CrossRef]

K. Leo, E. O. Göbel, T. C. Damen, J. Shah, S. Schmitt-Rink, W. Shäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/AlGaAs quantum wells,” Phys. Rev. B 44, 5726–5736 (1991).
[CrossRef]

A. L. Ivanov and H. Haug, “Self-consistent theory of the biexciton optical nonlinearity,” Phys. Rev. B 48, 1490–1504 (1993).
[CrossRef]

K.-H. Pantke, D. Oberhauser, V. G. Lyssenko, J. M. Hvam, and G. Weimann, “Coherent generation and interference of excitons and biexcitons in GaAs/Alx Ga1-x As quantum wells,” Phys. Rev. B 47, 2413–2416 (1993).
[CrossRef]

A. Honold, L. Schultheis, J. Kuhl, and C. W. Tu, “Collision broadening of two-dimensional excitons in a GaAs single quantum well,” Phys. Rev. B 40, 6442–6445 (1989).
[CrossRef]

B. F. Feuerbacher, J. Kuhl, and K. Ploog, “Biexcitonic contribution to the degenerate-four-wave-mixing signal from a GaAs/Alx Ga1-x As quantum well,” Phys. Rev. B 43, 2439–2441 (1991).
[CrossRef]

T. Rappen, U. G. Peter, M. Wegener, and W. Schäfer, “Polarization dependence of dephasing processes: a probe for many body effects,” Phys. Rev. B 49, 10774–10777 (1994).
[CrossRef]

Z. Hu, R. Binder, S. W. Koch, S. T. Cundiff, H. Wang, and D. G. Steel, “Excitation and polarization effects in semiconductor four-wave-mixing spectroscopy,” Phys. Rev. B 49, 14382–14386 (1994).
[CrossRef]

T. Saiki, M. Kuwata-Gonokami, T. Matsusue, and H. Sakaki, “Photon echo induced by two-exciton coherence in a GaAs quantum well,” Phys. Rev. B 49, 7817–7820 (1994).
[CrossRef]

D. S. Kim, J. Shah, T. C. Damen, L. N. Pfeiffer, and W. Schäfer, “Femtosecond time-resolved four-wave mixing from biexcitons in GaAs quantum wells: dominance of the interaction-induced signal,” Phys. Rev. B 50, 5775–5778 (1994).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994).
[CrossRef]

H. Schneider and K. Ploog, “Photon echoes and free-polarization decay in GaAs/AlAs multiple quantum wells: polarization and time dependence,” Phys. Rev. B 49, 17050–17054 (1994).
[CrossRef]

S. Patkar, A. E. Paul, W. Sha, J. A. Bolger, and A. L. Smirl, “Degree and state of polarization of the time-integrated four- wave mixing signal from semiconductor multiple quantum wells,” Phys. Rev. B 51, 10789–10794 (1995).
[CrossRef]

E. J. Mayer, G. O. Smith, V. Heuckeroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, “Polarization dependence of beating phenomena at the energetically lowest exciton transition in GaAs quantum wells,” Phys. Rev. B 51, 10909–10914 (1995).
[CrossRef]

D. Bennhardt, P. Thomas, R. Eccleston, E. J. Mayer, and J. Kuhl, “Polarization dependence of four-wave-mixing signals in quantum wells,” Phys. Rev. B 47, 13485–13490 (1993).
[CrossRef]

K. Bott, O. Heller, D. Bennhardt, S. T. Cundiff, P. Thomas, E. J. Mayer, G. O. Smith, R. Eccleston, J. Kuhl, and K. Ploog, “Influence of exciton –exciton interactions on the coherent optical response in GaAs quantum wells,” Phys. Rev. B 48, 17418–17426 (1993).
[CrossRef]

S. T. Cundiff, H. Wang, and D. G. Steel, “Polarization-dependent picosecond excitonic nonlinearities and the complexities of disorder,” Phys. Rev. B 46, 7248–7251 (1992).
[CrossRef]

S. Schmitt-Rink, D. Bennhardt, V. Heuckeroth, P. Thomas, P. Haring, G. Maidorn, H. Bakker, K. Leo, D. S. Kim, J. Shah, and K. Köhler, “Polarization dependence of heavy- and light-hole quantum beats,” Phys. Rev. B 46, 10460–10463 (1992).
[CrossRef]

Phys. Rev. Lett. (8)

D. S. Kim, J. Shah, T. C. Damen, W. Shäfer, F. Jahnke, S. Schmitt-Rink, and K. Köhler, “Unusually slow temporal evolution of femtosecond four-wave mixing signals in intrinsic GaAs quantum wells: direct evidence for the dominance of interaction effects,” Phys. Rev. Lett. 69, 2725–2728 (1992).
[CrossRef] [PubMed]

K. Leo, M. Wegner, J. Shah, D. S. Chemla, E. O. Göbel, T. C. Damen, S. Schmitt-Rink, and W. Shäfer, “Effects of coherent polarization interactions on time-resolved degenerate four-wave mixing,” Phys. Rev. Lett. 65, 1340–1343 (1990).
[CrossRef] [PubMed]

H. Wang, K. Ferrio, D. G. Steel, Y. Z. Hu, R. Binder, and S. W. Koch, “Transient nonlinear optical response from excitation induced dephasing in GaAs,” Phys. Rev. Lett. 71, 1261–1264 (1993).
[CrossRef] [PubMed]

S. Bar-Ad and I. Bar-Joseph, “Exciton spin dynamics in GaAs heterostructures,” Phys. Rev. Lett. 68, 349–352 (1992).
[CrossRef] [PubMed]

D. J. Lovering, R. T. Phillips, G. J. Denton, and G. W. Smith, “Resonant generation of biexcitons in a GaAs quantum well,” Phys. Rev. Lett. 68, 1880–1883 (1992).
[CrossRef] [PubMed]

L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu, “Ultrafast phase relaxation of excitons via exciton –exciton and exciton– electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
[CrossRef] [PubMed]

S. Weiss, M.-A. Mycek, J.-Y. Bigot, S. Schmitt-Rink, and D. S. Chemla, “Collective effects in excitonic free induction decay: do semiconductors and atoms emit coherent light in different ways?” Phys. Rev. Lett. 69, 2685–2688 (1992).
[CrossRef] [PubMed]

J.-Y. Bigot, M.-A. Mycek, S. Weiss, R. G. Ulbrich, and D. S. Chemla, “Instantaneous frequency dynamics of coherent mixing in semiconductor quantum wells,” Phys. Rev. Lett. 70, 3307–3310 (1993).
[CrossRef] [PubMed]

Solid State Commun. (3)

H. Wang, J. Shah, T. C. Damen, and L. N. Pfeiffer, “Polarization-dependent coherent nonlinear optical response in GaAs quantum well: dominant effects of two-photon coherence between ground and biexciton states,” Solid State Commun. 91, 869–874 (1994).
[CrossRef]

R. Raj, I. Abram, and J. A. Levenson, “Multiphoton transitions in high intensity optical coherent transients in multiple quantum wells,” Solid State Commun. 81, 51–53 (1992).
[CrossRef]

R. Eccleston, J. Kuhl, D. Bennhardt, and P. Thomas, “Intensity dependent four-wave-mixing polarization rules in quantum wells,” Solid State Commun. 86, 93–97 (1993).
[CrossRef]

Other (3)

R. T. Phillips, ed., Coherent Optical Interactions in Semiconductors (Plenum, New York, 1994), and references therein.
[CrossRef]

D. G. Steel, H. Wang, M. Jiang, K. Farrio, and S. T. Cundiff, “Nonlinear coherent optical effects in semiconductors,” in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), pp. 157–179.
[CrossRef]

For a detailed description, see R. M. A. Azzam and N. M. Bashara, Ellipsometry and Polarized Light (North-Holland, Amsterdam, 1988), pp. 55–65.

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Figures (14)

Fig. 1
Fig. 1

Schematic of (a) the experimental geometry for time resolving the polarization state of the emitted FWM signal, where λ/4 denotes quarter-wave plate; λ/2, half-wave plate; SHG, second-harmonic-generation crystal; and P1 and P2, polarizers; (b) the orientation of the two linear input polarizations; and (c) the polarization ellipse showing the azimuthal angle θsig and the ellipticity angle ε.

Fig. 2
Fig. 2

Measurements of (a) the azimuthal angle θsig and (b) the ellipticity angle ε as a function of time for selected angles θ12 between the two input polarizations for a total peak fluence of 1.0 μJ/cm2. The curves connect the data points only as a rough guide for the eye.

Fig. 3
Fig. 3

Sketches of the polarization ellipses for selected angles and times corresponding to the data shown in Fig. 2.

Fig. 4
Fig. 4

Measurements of the time-averaged (a) azimuthal angle θsig, (b) ellipticity angle ε, and (c) degree of polarization P as a function of the angle θ12 between the two input polarizations for a total peak fluence of 1.0 μJ/cm2. The curves connect the data points only as a rough guide for the eye.

Fig. 5
Fig. 5

Values for the time-averaged (a) azimuthal angle θsig, (b) ellipticity angle ε, and (c) degree of polarization P as a function of the angle θ12 between the two input polarizations for a total peak fluence of 1.0 μJ/cm2 obtained by numerical integration of the Stokes parameters associated with Fig. 2.

Fig. 6
Fig. 6

Schematic of the five-level two-particle system describing the ground state |g〉, the single-exciton states |e±〉, the biexciton state |b〉, and the unbound two-exciton state |2e〉. The solid (dashed) lines represent transitions coupled by σ+ (σ) light, ћΔ is the biexciton binding energy, and μ and ν correspond to the exciton and the biexciton dipole matrix elements, respectively.

Fig. 7
Fig. 7

Comparison of the calculated values for the time-averaged (a) azimuthal angle θsig, (b) ellipticity angle ε, and (c) degree of polarization P as a function of the angle θ12 between the two input polarizations for the cases in which LFC are included but EID and BIF are excluded (dotted–dashed curve); EID is included but LFC and BIF are excluded (dashed curve); and both LFC and EID are included but BIF is excluded (solid curve).

Fig. 8
Fig. 8

Comparison of the calculated values for the time-averaged (a) azimuthal angle θsig, (b) ellipticity angle ε, and (c) degree of polarization P as a function of the angle θ12 between the two input polarizations for the cases in which both LFC and EID are included but BIF is excluded (solid curve); BIF is included but LFC and EID are excluded (dashed curve); and LFC, EID, and BIF are all included (dotted–dashed curve).

Fig. 9
Fig. 9

Calculated values for (a) the azimuthal angle θsig and (b) the ellipticity angle ε as a function of time for selected angles θ12 between the two input polarizations when LFC are included but EID and BIF are excluded.

Fig. 10
Fig. 10

Calculated values for (a) the azimuthal angle θsig and (b) the ellipticity angle ε as a function of time for selected angles θ12 between the two input polarizations when EID is included but LFC and BIF are excluded.

Fig. 11
Fig. 11

Calculated values for (a) the azimuthal angle θsig and (b) the ellipticity angle ε as a function of time for selected angles θ12 between the two input polarizations when LFC and EID are included but BIF is excluded.

Fig. 12
Fig. 12

Calculated values for (a) the azimuthal angle θsig and (b) the ellipticity angle ε as a function of time for selected angles θ12 between the two input polarizations when BIF is included but LFC and EID are excluded.

Fig. 13
Fig. 13

Calculated values for (a) the azimuthal angle θsig and (b) the ellipticity angle ε as a function of time for selected angles θ12 between the two input polarizations when all three processes, LFC, EID, and BIF, are included.

Fig. 14
Fig. 14

Calculated values for the azimuthal angle θsig as a function of time for selected angles θ12 between the two input polarizations for the two cases in which (a) LFC and BIF are included but EID is excluded and (b) EID and BIF are included but LFC are excluded.

Equations (10)

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I wo ( φ ) = ½ [ S 0 + S 1 cos ( 4 φ ) + S 2 sin ( 4 φ ) ] ,
I w ( φ ) = ½ [ S 0 + S 1 cos ( 4 φ ) S 3 sin ( 4 φ ) ] ,
P = ( S 1 2 + S 2 2 + S 3 2 ) 1 / 2 / S 0 .
tan ( 2 θ sig ) = S 2 / S 1 ,
sin ( 2 ε ) = S 3 / ( S 1 2 + S 2 2 + S 3 2 ) 1 / 2 .
γ ( n ) = γ ( n 0 ) + γ n ( n n 0 ) ,
E LOC = E + L P ,
P 2 k 2 k 1 ( 3 ) ( t ) = i κ Θ ( t ) Θ ( τ 21 ) exp ( γ τ 21 ) × [ ( exp ( γ t ) { 1 + ( η + i ξ ) × [ 1 exp ( γ ee t ) ] / γ ee } + B 2 exp ( γ t ) G ( t ) B 2 exp [ ( i Δ γ b ) t ] × [ 1 + F ( t ) ] ) cos θ 12 e ˆ 1 ( exp ( γ t ) { 1 + i ξ [ 1 exp ( γ ee t ) ] / γ ee } B 2 exp ( γ t ) G ( t ) + B 2 exp [ ( i Δ γ b ) t ] × [ 1 + F ( t ) ] ) sin θ 12 e ˆ 2 ] ,
G ( t ) = i ξ { 1 exp [ ( i Δ γ bg ) t ] } ( γ bg i Δ ) + ξ 2 ( Γ 1 + i Δ ) × ( { 1 exp [ ( i Δ γ bg ) t ] } ( γ bg i Δ ) [ 1 exp ( 2 γ t ) ] 2 γ ) ,
F ( t ) = i ξ { 1 exp [ ( i Δ + Γ 4 ) t ] } ( Γ 4 + i Δ ) i ξ [ 1 exp ( Γ 2 t ) ] Γ 2 + ξ 2 ( Γ 1 + i Δ ) × ( [ 1 exp ( Γ 2 t ) ] Γ 2 { 1 exp [ ( i Δ + Γ 3 ) t ] } ( Γ 3 + i Δ ) ) .

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