Abstract

Three-beam time-integrated transient four-wave mixing (TFWM) is used to probe both light-hole (LH) and heavy-hole (HH) exciton coherences in weakly disordered GaAs quantum wells. The period of the quantum beats between the LH and the HH exciton coherences changes as a function of first–second pulse delay. A theoretical model for the TFWM signal, including exciton dephasing rates that vary with frequency across the inhomogeneous linewidth, reproduces the observations. The inclusion of inhomogeneous dephasing also improves the correspondence between theory and experiment when data as a function of both first–second and second–third pulse delays are simultaneously examined.

© 2007 Optical Society of America

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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  29. A. V. Gopal and A. S. Vengurlekar, "Well-width dependence of light-hole exciton dephasing in GaAs quantum wells," Phys. Rev. B 62, 4624-4629 (2000).
    [CrossRef]
  30. A. G. VanEngen Spivey, C. N. Borca, and S. T. Cundiff are preparing a manuscript to be called "Dephasing of the LH-HH exciton Raman coherence in GaAs quantum wells: distinguishing between phonon and carrier scattering."
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    [CrossRef]
  33. X. Li, T. Zhang, C. N. Borca, and S. T. Cundiff, "Many-body interactions in semiconductors probed by optical two-dimensional Fourier transform spectroscopy," Phys. Rev. Lett. 96, 057406 (2006).
    [CrossRef] [PubMed]

2006 (1)

X. Li, T. Zhang, C. N. Borca, and S. T. Cundiff, "Many-body interactions in semiconductors probed by optical two-dimensional Fourier transform spectroscopy," Phys. Rev. Lett. 96, 057406 (2006).
[CrossRef] [PubMed]

2003 (3)

C. N. Borca, A. G. VanEngen Spivey, and S. T. Cundiff, "Anomalously fast decay of the LH-HH exciton Raman coherence," Phys. Status Solidi B 238, 521-524 (2003).
[CrossRef]

M. Phillips and H. Wang, "Electromagnetically induced transparency due to intervalence band coherence in a GaAs quantum well," Opt. Lett. 28, 831-833 (2003).
[CrossRef] [PubMed]

B. Pal and A. S. Vengurlekar, "Coherent effects in spectrally resolved pump-probe differential reflectivity measurements at exciton resonance in GaAs quantum wells," Phys. Rev. B 68, 125308 (2003).
[CrossRef]

2002 (1)

J. M. Shacklette and S. T. Cundiff, "Role of excitation induced shift in the coherent optical response of semiconductors," Phys. Rev. B 66, 045309 (2002).
[CrossRef]

2001 (2)

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

P. Chen, C. Piermarocchi, and L. J. Sham, "Theory of coherent optical control of exciton spin dynamics in a semiconductor dot," Physica E (Amsterdam) 10, 7-12 (2001).
[CrossRef]

2000 (1)

A. V. Gopal and A. S. Vengurlekar, "Well-width dependence of light-hole exciton dephasing in GaAs quantum wells," Phys. Rev. B 62, 4624-4629 (2000).
[CrossRef]

1999 (1)

A. L. Smirl, M. J. Stevens, X. Chen, and O. Buccafusca, "Heavy-hole and light-hole oscillations in the coherent emission from quantum wells: evidence for exciton-exciton correlations," Phys. Rev. B 60, 8267-8275 (1999).
[CrossRef]

1998 (1)

K. B. Ferrio and D. G. Steel, "Raman quantum beats of interacting excitons," Phys. Rev. Lett. 80, 786-789 (1998).
[CrossRef]

1997 (4)

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[CrossRef]

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

U. Jahn, M. Ramsteiner, R. Hey, H. T. Grahn, E. Runge, and R. Zimmermann, "Effective exciton mobility edge in narrow quantum wells," Phys. Rev. B 56, R4387-R4390 (1997).
[CrossRef]

1996 (1)

1994 (3)

H. J. Bakker, K. Leo, J. Shah, and K. Köhler, "Time-resolved study of dephasing mechanisms of excitons in GaAs/AlxGa1-xAs quantum-well structures," Phys. Rev. B 49, 8249-8257 (1994).
[CrossRef]

J. Erland, K.-H. Pantke, V. Mizeikis, V. G. Lyssenko, and J. M. Hvam, "Spectrally resolved four-wave mixing in semiconductors: influence of inhomogeneous broadening," Phys. Rev. B 50, 15047-15055 (1994).
[CrossRef]

S. T. Cundiff, "Effects of correlation between inhomogeneously broadened transitions on quantum beats in transient four-wave mixing," Phys. Rev. A 49, 3114-3118 (1994).
[CrossRef] [PubMed]

1993 (2)

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]

V. G. Lyssenko, J. Erland, I. Balslev, K.-H. Pantke, B. S. Razbirin, and J. M. Hvam, "Nature of nonlinear four-wave-mixing beats in semiconductors," Phys. Rev. B 48, 5720-5723 (1993).
[CrossRef]

1992 (2)

M. Koch, J. Feldmann, G. von Plesen, E. O. Göbel, P. Thomas, and K. Köhler, "Quantum beats versus polarization interference: an experimental distinction," Phys. Rev. Lett. 69, 3631-3634 (1992).
[CrossRef] [PubMed]

A. Honold, T. Saku, Y. Horikoshi, and K. Kohler, "Optical dephasing of light-hole excitons in GaAs single quantum wells," Phys. Rev. B 45, 6010-6014 (1992).
[CrossRef]

1991 (1)

M. D. Webb, S. T. Cundiff, and D. G. Steel, "Stimulated-picosecond-photon-echo studies of localized exciton relaxation and dephasing in GaAs/AlxGa1-xAs multiple quantum wells," Phys. Rev. B 43, 12658-12661 (1991).
[CrossRef]

1990 (3)

H. Wang, M. Jiang, and D. G. Steel, "Measurement of phonon-assisted migration of localized excitons in GaAs/AlGaAs multiple-quantum-well structures," Phys. Rev. Lett. 65, 1255-1258 (1990).
[CrossRef] [PubMed]

K. Leo, T. C. Damen, J. Shah, E. O. Göbel, and K. Köhler, "Quantum beats of light hole and heavy hole excitons in quantum wells," Appl. Phys. Lett. 57, 19-21 (1990).
[CrossRef]

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

1985 (3)

1984 (1)

J. Hegarty, L. Goldner, and M. D. Sturge, "Localized and delocalized two-dimensional excitons in GaAs-AlGaAs multiple-quantum-well structures," Phys. Rev. B 30, 7346-7348 (1984).
[CrossRef]

1979 (1)

T. Yajima and Y. Taira, "Spatial optical parametric coupling of picosecond light pulses and transverse relaxation effect in resonant media," J. Phys. Soc. Jpn. 47, 1620-1626 (1979).
[CrossRef]

Bakker, H. J.

H. J. Bakker, K. Leo, J. Shah, and K. Köhler, "Time-resolved study of dephasing mechanisms of excitons in GaAs/AlxGa1-xAs quantum-well structures," Phys. Rev. B 49, 8249-8257 (1994).
[CrossRef]

Balslev, I.

V. G. Lyssenko, J. Erland, I. Balslev, K.-H. Pantke, B. S. Razbirin, and J. M. Hvam, "Nature of nonlinear four-wave-mixing beats in semiconductors," Phys. Rev. B 48, 5720-5723 (1993).
[CrossRef]

Binder, E.

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

Binder, R.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[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]

Blanche, P.-A.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Bongiovanni, G.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Borca, C. N.

X. Li, T. Zhang, C. N. Borca, and S. T. Cundiff, "Many-body interactions in semiconductors probed by optical two-dimensional Fourier transform spectroscopy," Phys. Rev. Lett. 96, 057406 (2006).
[CrossRef] [PubMed]

C. N. Borca, A. G. VanEngen Spivey, and S. T. Cundiff, "Anomalously fast decay of the LH-HH exciton Raman coherence," Phys. Status Solidi B 238, 521-524 (2003).
[CrossRef]

A. G. VanEngen Spivey, C. N. Borca, and S. T. Cundiff are preparing a manuscript to be called "Dephasing of the LH-HH exciton Raman coherence in GaAs quantum wells: distinguishing between phonon and carrier scattering."

Bott, K.

Buccafusca, O.

A. L. Smirl, M. J. Stevens, X. Chen, and O. Buccafusca, "Heavy-hole and light-hole oscillations in the coherent emission from quantum wells: evidence for exciton-exciton correlations," Phys. Rev. B 60, 8267-8275 (1999).
[CrossRef]

Chemla, D. S.

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

Chen, P.

P. Chen, C. Piermarocchi, and L. J. Sham, "Theory of coherent optical control of exciton spin dynamics in a semiconductor dot," Physica E (Amsterdam) 10, 7-12 (2001).
[CrossRef]

Chen, X.

A. L. Smirl, M. J. Stevens, X. Chen, and O. Buccafusca, "Heavy-hole and light-hole oscillations in the coherent emission from quantum wells: evidence for exciton-exciton correlations," Phys. Rev. B 60, 8267-8275 (1999).
[CrossRef]

Cundiff, S. T.

X. Li, T. Zhang, C. N. Borca, and S. T. Cundiff, "Many-body interactions in semiconductors probed by optical two-dimensional Fourier transform spectroscopy," Phys. Rev. Lett. 96, 057406 (2006).
[CrossRef] [PubMed]

C. N. Borca, A. G. VanEngen Spivey, and S. T. Cundiff, "Anomalously fast decay of the LH-HH exciton Raman coherence," Phys. Status Solidi B 238, 521-524 (2003).
[CrossRef]

J. M. Shacklette and S. T. Cundiff, "Role of excitation induced shift in the coherent optical response of semiconductors," Phys. Rev. B 66, 045309 (2002).
[CrossRef]

S. T. Cundiff, "Effects of correlation between inhomogeneously broadened transitions on quantum beats in transient four-wave mixing," Phys. Rev. A 49, 3114-3118 (1994).
[CrossRef] [PubMed]

M. D. Webb, S. T. Cundiff, and D. G. Steel, "Stimulated-picosecond-photon-echo studies of localized exciton relaxation and dephasing in GaAs/AlxGa1-xAs multiple quantum wells," Phys. Rev. B 43, 12658-12661 (1991).
[CrossRef]

A. G. VanEngen Spivey, C. N. Borca, and S. T. Cundiff are preparing a manuscript to be called "Dephasing of the LH-HH exciton Raman coherence in GaAs quantum wells: distinguishing between phonon and carrier scattering."

Damen, T. C.

K. Leo, T. C. Damen, J. Shah, E. O. Göbel, and K. Köhler, "Quantum beats of light hole and heavy hole excitons in quantum wells," Appl. Phys. Lett. 57, 19-21 (1990).
[CrossRef]

DeSilvestri, S.

Donovan, M. E.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Elsaesser, T.

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

Erland, J.

J. Erland, K.-H. Pantke, V. Mizeikis, V. G. Lyssenko, and J. M. Hvam, "Spectrally resolved four-wave mixing in semiconductors: influence of inhomogeneous broadening," Phys. Rev. B 50, 15047-15055 (1994).
[CrossRef]

V. G. Lyssenko, J. Erland, I. Balslev, K.-H. Pantke, B. S. Razbirin, and J. M. Hvam, "Nature of nonlinear four-wave-mixing beats in semiconductors," Phys. Rev. B 48, 5720-5723 (1993).
[CrossRef]

Fayer, M. D.

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[CrossRef]

Feldmann, J.

M. Koch, J. Feldmann, G. von Plesen, E. O. Göbel, P. Thomas, and K. Köhler, "Quantum beats versus polarization interference: an experimental distinction," Phys. Rev. Lett. 69, 3631-3634 (1992).
[CrossRef] [PubMed]

Ferrante, C.

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[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]

Ferrio, K. B.

K. B. Ferrio and D. G. Steel, "Raman quantum beats of interacting excitons," Phys. Rev. Lett. 80, 786-789 (1998).
[CrossRef]

Gibbs, H. M.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Göbel, E. O.

M. Koch, J. Feldmann, G. von Plesen, E. O. Göbel, P. Thomas, and K. Köhler, "Quantum beats versus polarization interference: an experimental distinction," Phys. Rev. Lett. 69, 3631-3634 (1992).
[CrossRef] [PubMed]

K. Leo, T. C. Damen, J. Shah, E. O. Göbel, and K. Köhler, "Quantum beats of light hole and heavy hole excitons in quantum wells," Appl. Phys. Lett. 57, 19-21 (1990).
[CrossRef]

Goldner, L.

J. Hegarty, L. Goldner, and M. D. Sturge, "Localized and delocalized two-dimensional excitons in GaAs-AlGaAs multiple-quantum-well structures," Phys. Rev. B 30, 7346-7348 (1984).
[CrossRef]

Gopal, A. V.

A. V. Gopal and A. S. Vengurlekar, "Well-width dependence of light-hole exciton dephasing in GaAs quantum wells," Phys. Rev. B 62, 4624-4629 (2000).
[CrossRef]

Grahn, H. T.

U. Jahn, M. Ramsteiner, R. Hey, H. T. Grahn, E. Runge, and R. Zimmermann, "Effective exciton mobility edge in narrow quantum wells," Phys. Rev. B 56, R4387-R4390 (1997).
[CrossRef]

Gürtler, S.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Hegarty, J.

J. Hegarty and M. D. Sturge, "Studies of exciton localization in quantum-well structures by nonlinear-optical techniques," J. Opt. Soc. Am. B 2, 1143-1154 (1985).
[CrossRef]

J. Hegarty, L. Goldner, and M. D. Sturge, "Localized and delocalized two-dimensional excitons in GaAs-AlGaAs multiple-quantum-well structures," Phys. Rev. B 30, 7346-7348 (1984).
[CrossRef]

Heuckeroth, V.

Hey, R.

U. Jahn, M. Ramsteiner, R. Hey, H. T. Grahn, E. Runge, and R. Zimmermann, "Effective exciton mobility edge in narrow quantum wells," Phys. Rev. B 56, R4387-R4390 (1997).
[CrossRef]

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

K. Bott, E. J. Mayer, G. O. Smith, V. Heuckeroth, M. Hübner, J. Kuhl, T. Meier, A. Schulze, M. Lindberg, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, "Dephasing of interacting heavy-hole and light-hole excitons in GaAs quantum wells," J. Opt. Soc. Am. B 13, 1026-1030 (1996).
[CrossRef]

Honold, A.

A. Honold, T. Saku, Y. Horikoshi, and K. Kohler, "Optical dephasing of light-hole excitons in GaAs single quantum wells," Phys. Rev. B 45, 6010-6014 (1992).
[CrossRef]

Horikoshi, Y.

A. Honold, T. Saku, Y. Horikoshi, and K. Kohler, "Optical dephasing of light-hole excitons in GaAs single quantum wells," Phys. Rev. B 45, 6010-6014 (1992).
[CrossRef]

Houdré, R.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

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]

Hübner, M.

Hvam, J. M.

J. Erland, K.-H. Pantke, V. Mizeikis, V. G. Lyssenko, and J. M. Hvam, "Spectrally resolved four-wave mixing in semiconductors: influence of inhomogeneous broadening," Phys. Rev. B 50, 15047-15055 (1994).
[CrossRef]

V. G. Lyssenko, J. Erland, I. Balslev, K.-H. Pantke, B. S. Razbirin, and J. M. Hvam, "Nature of nonlinear four-wave-mixing beats in semiconductors," Phys. Rev. B 48, 5720-5723 (1993).
[CrossRef]

Ippen, E. P.

Jahn, U.

U. Jahn, M. Ramsteiner, R. Hey, H. T. Grahn, E. Runge, and R. Zimmermann, "Effective exciton mobility edge in narrow quantum wells," Phys. Rev. B 56, R4387-R4390 (1997).
[CrossRef]

Jiang, M.

H. Wang, M. Jiang, and D. G. Steel, "Measurement of phonon-assisted migration of localized excitons in GaAs/AlGaAs multiple-quantum-well structures," Phys. Rev. Lett. 65, 1255-1258 (1990).
[CrossRef] [PubMed]

Joschko, M.

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

Khitrova, G.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Koch, M.

M. Koch, J. Feldmann, G. von Plesen, E. O. Göbel, P. Thomas, and K. Köhler, "Quantum beats versus polarization interference: an experimental distinction," Phys. Rev. Lett. 69, 3631-3634 (1992).
[CrossRef] [PubMed]

Koch, S. W.

Kohler, K.

A. Honold, T. Saku, Y. Horikoshi, and K. Kohler, "Optical dephasing of light-hole excitons in GaAs single quantum wells," Phys. Rev. B 45, 6010-6014 (1992).
[CrossRef]

Köhler, K.

H. J. Bakker, K. Leo, J. Shah, and K. Köhler, "Time-resolved study of dephasing mechanisms of excitons in GaAs/AlxGa1-xAs quantum-well structures," Phys. Rev. B 49, 8249-8257 (1994).
[CrossRef]

M. Koch, J. Feldmann, G. von Plesen, E. O. Göbel, P. Thomas, and K. Köhler, "Quantum beats versus polarization interference: an experimental distinction," Phys. Rev. Lett. 69, 3631-3634 (1992).
[CrossRef] [PubMed]

K. Leo, T. C. Damen, J. Shah, E. O. Göbel, and K. Köhler, "Quantum beats of light hole and heavy hole excitons in quantum wells," Appl. Phys. Lett. 57, 19-21 (1990).
[CrossRef]

Kostial, H.

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

Kuhl, J.

Kuhn, T.

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

Kwok, A. S.

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[CrossRef]

Kwong, N. H.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Lee, J.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Leo, K.

H. J. Bakker, K. Leo, J. Shah, and K. Köhler, "Time-resolved study of dephasing mechanisms of excitons in GaAs/AlxGa1-xAs quantum-well structures," Phys. Rev. B 49, 8249-8257 (1994).
[CrossRef]

K. Leo, T. C. Damen, J. Shah, E. O. Göbel, and K. Köhler, "Quantum beats of light hole and heavy hole excitons in quantum wells," Appl. Phys. Lett. 57, 19-21 (1990).
[CrossRef]

Li, X.

X. Li, T. Zhang, C. N. Borca, and S. T. Cundiff, "Many-body interactions in semiconductors probed by optical two-dimensional Fourier transform spectroscopy," Phys. Rev. Lett. 96, 057406 (2006).
[CrossRef] [PubMed]

Lindberg, M.

Lyssenko, V. G.

J. Erland, K.-H. Pantke, V. Mizeikis, V. G. Lyssenko, and J. M. Hvam, "Spectrally resolved four-wave mixing in semiconductors: influence of inhomogeneous broadening," Phys. Rev. B 50, 15047-15055 (1994).
[CrossRef]

V. G. Lyssenko, J. Erland, I. Balslev, K.-H. Pantke, B. S. Razbirin, and J. M. Hvam, "Nature of nonlinear four-wave-mixing beats in semiconductors," Phys. Rev. B 48, 5720-5723 (1993).
[CrossRef]

Mayer, E. J.

Meier, T.

Mizeikis, V.

J. Erland, K.-H. Pantke, V. Mizeikis, V. G. Lyssenko, and J. M. Hvam, "Spectrally resolved four-wave mixing in semiconductors: influence of inhomogeneous broadening," Phys. Rev. B 50, 15047-15055 (1994).
[CrossRef]

Mura, A.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Oesterle, U.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Pal, B.

B. Pal and A. S. Vengurlekar, "Coherent effects in spectrally resolved pump-probe differential reflectivity measurements at exciton resonance in GaAs quantum wells," Phys. Rev. B 68, 125308 (2003).
[CrossRef]

Pantke, K.-H.

J. Erland, K.-H. Pantke, V. Mizeikis, V. G. Lyssenko, and J. M. Hvam, "Spectrally resolved four-wave mixing in semiconductors: influence of inhomogeneous broadening," Phys. Rev. B 50, 15047-15055 (1994).
[CrossRef]

V. G. Lyssenko, J. Erland, I. Balslev, K.-H. Pantke, B. S. Razbirin, and J. M. Hvam, "Nature of nonlinear four-wave-mixing beats in semiconductors," Phys. Rev. B 48, 5720-5723 (1993).
[CrossRef]

Peyghambarian, N.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Phillips, M.

Piermarocchi, C.

P. Chen, C. Piermarocchi, and L. J. Sham, "Theory of coherent optical control of exciton spin dynamics in a semiconductor dot," Physica E (Amsterdam) 10, 7-12 (2001).
[CrossRef]

Ploog, K.

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

K. Bott, E. J. Mayer, G. O. Smith, V. Heuckeroth, M. Hübner, J. Kuhl, T. Meier, A. Schulze, M. Lindberg, S. W. Koch, P. Thomas, R. Hey, and K. Ploog, "Dephasing of interacting heavy-hole and light-hole excitons in GaAs quantum wells," J. Opt. Soc. Am. B 13, 1026-1030 (1996).
[CrossRef]

Quochi, F.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Ramsteiner, M.

U. Jahn, M. Ramsteiner, R. Hey, H. T. Grahn, E. Runge, and R. Zimmermann, "Effective exciton mobility edge in narrow quantum wells," Phys. Rev. B 56, R4387-R4390 (1997).
[CrossRef]

Razbirin, B. S.

V. G. Lyssenko, J. Erland, I. Balslev, K.-H. Pantke, B. S. Razbirin, and J. M. Hvam, "Nature of nonlinear four-wave-mixing beats in semiconductors," Phys. Rev. B 48, 5720-5723 (1993).
[CrossRef]

Rector, K. D.

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[CrossRef]

Rella, C. W.

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[CrossRef]

Rumyantsev, I.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Runge, E.

U. Jahn, M. Ramsteiner, R. Hey, H. T. Grahn, E. Runge, and R. Zimmermann, "Effective exciton mobility edge in narrow quantum wells," Phys. Rev. B 56, R4387-R4390 (1997).
[CrossRef]

Saku, T.

A. Honold, T. Saku, Y. Horikoshi, and K. Kohler, "Optical dephasing of light-hole excitons in GaAs single quantum wells," Phys. Rev. B 45, 6010-6014 (1992).
[CrossRef]

Schäfer, W.

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

Schmitt-Rink, S.

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

Schulze, A.

Schülzgen, A.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Shacklette, J. M.

J. M. Shacklette and S. T. Cundiff, "Role of excitation induced shift in the coherent optical response of semiconductors," Phys. Rev. B 66, 045309 (2002).
[CrossRef]

Shah, J.

H. J. Bakker, K. Leo, J. Shah, and K. Köhler, "Time-resolved study of dephasing mechanisms of excitons in GaAs/AlxGa1-xAs quantum-well structures," Phys. Rev. B 49, 8249-8257 (1994).
[CrossRef]

K. Leo, T. C. Damen, J. Shah, E. O. Göbel, and K. Köhler, "Quantum beats of light hole and heavy hole excitons in quantum wells," Appl. Phys. Lett. 57, 19-21 (1990).
[CrossRef]

J. Shah, Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures (Springer-Verlag, 1996).

Sham, L. J.

P. Chen, C. Piermarocchi, and L. J. Sham, "Theory of coherent optical control of exciton spin dynamics in a semiconductor dot," Physica E (Amsterdam) 10, 7-12 (2001).
[CrossRef]

Smirl, A. L.

A. L. Smirl, M. J. Stevens, X. Chen, and O. Buccafusca, "Heavy-hole and light-hole oscillations in the coherent emission from quantum wells: evidence for exciton-exciton correlations," Phys. Rev. B 60, 8267-8275 (1999).
[CrossRef]

Smith, G. O.

Staehli, J. L.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Stanley, R. P.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Steel, D. G.

K. B. Ferrio and D. G. Steel, "Raman quantum beats of interacting excitons," Phys. Rev. Lett. 80, 786-789 (1998).
[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]

M. D. Webb, S. T. Cundiff, and D. G. Steel, "Stimulated-picosecond-photon-echo studies of localized exciton relaxation and dephasing in GaAs/AlxGa1-xAs multiple quantum wells," Phys. Rev. B 43, 12658-12661 (1991).
[CrossRef]

H. Wang, M. Jiang, and D. G. Steel, "Measurement of phonon-assisted migration of localized excitons in GaAs/AlGaAs multiple-quantum-well structures," Phys. Rev. Lett. 65, 1255-1258 (1990).
[CrossRef] [PubMed]

Stevens, M. J.

A. L. Smirl, M. J. Stevens, X. Chen, and O. Buccafusca, "Heavy-hole and light-hole oscillations in the coherent emission from quantum wells: evidence for exciton-exciton correlations," Phys. Rev. B 60, 8267-8275 (1999).
[CrossRef]

Sturge, M. D.

J. Hegarty and M. D. Sturge, "Studies of exciton localization in quantum-well structures by nonlinear-optical techniques," J. Opt. Soc. Am. B 2, 1143-1154 (1985).
[CrossRef]

J. Hegarty, L. Goldner, and M. D. Sturge, "Localized and delocalized two-dimensional excitons in GaAs-AlGaAs multiple-quantum-well structures," Phys. Rev. B 30, 7346-7348 (1984).
[CrossRef]

Taira, Y.

T. Yajima and Y. Taira, "Spatial optical parametric coupling of picosecond light pulses and transverse relaxation effect in resonant media," J. Phys. Soc. Jpn. 47, 1620-1626 (1979).
[CrossRef]

Takagahara, T.

T. Takagahara, "Localization and homogeneous dephasing relaxation of quasi-two-dimensional excitons in quantum-well heterostructures," Phys. Rev. B 32, 7013-7015 (1985).
[CrossRef]

Takayama, R.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Tassone, F.

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

Thomas, P.

Tokmakoff, A.

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[CrossRef]

VanEngen Spivey, A. G.

C. N. Borca, A. G. VanEngen Spivey, and S. T. Cundiff, "Anomalously fast decay of the LH-HH exciton Raman coherence," Phys. Status Solidi B 238, 521-524 (2003).
[CrossRef]

A. G. VanEngen Spivey, C. N. Borca, and S. T. Cundiff are preparing a manuscript to be called "Dephasing of the LH-HH exciton Raman coherence in GaAs quantum wells: distinguishing between phonon and carrier scattering."

Vengurlekar, A. S.

B. Pal and A. S. Vengurlekar, "Coherent effects in spectrally resolved pump-probe differential reflectivity measurements at exciton resonance in GaAs quantum wells," Phys. Rev. B 68, 125308 (2003).
[CrossRef]

A. V. Gopal and A. S. Vengurlekar, "Well-width dependence of light-hole exciton dephasing in GaAs quantum wells," Phys. Rev. B 62, 4624-4629 (2000).
[CrossRef]

von Plesen, G.

M. Koch, J. Feldmann, G. von Plesen, E. O. Göbel, P. Thomas, and K. Köhler, "Quantum beats versus polarization interference: an experimental distinction," Phys. Rev. Lett. 69, 3631-3634 (1992).
[CrossRef] [PubMed]

Wang, H.

M. Phillips and H. Wang, "Electromagnetically induced transparency due to intervalence band coherence in a GaAs quantum well," Opt. Lett. 28, 831-833 (2003).
[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]

H. Wang, M. Jiang, and D. G. Steel, "Measurement of phonon-assisted migration of localized excitons in GaAs/AlGaAs multiple-quantum-well structures," Phys. Rev. Lett. 65, 1255-1258 (1990).
[CrossRef] [PubMed]

Webb, M. D.

M. D. Webb, S. T. Cundiff, and D. G. Steel, "Stimulated-picosecond-photon-echo studies of localized exciton relaxation and dephasing in GaAs/AlxGa1-xAs multiple quantum wells," Phys. Rev. B 43, 12658-12661 (1991).
[CrossRef]

Wegener, M.

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

Weiner, A. M.

Woerner, M.

M. Joschko, M. Woerner, T. Elsaesser, E. Binder, T. Kuhn, R. Hey, H. Kostial, and K. Ploog, "Heavy-light hole quantum beats in the band-to-band continuum of GaAs observed in 20 femtosecond pump-probe experiments," Phys. Rev. Lett. 78, 737-740 (1997).
[CrossRef]

Yajima, T.

T. Yajima and Y. Taira, "Spatial optical parametric coupling of picosecond light pulses and transverse relaxation effect in resonant media," J. Phys. Soc. Jpn. 47, 1620-1626 (1979).
[CrossRef]

Yang, Z. S.

M. E. Donovan, A. Schülzgen, J. Lee, P.-A. Blanche, N. Peyghambarian, G. Khitrova, H. M. Gibbs, I. Rumyantsev, N. H. Kwong, R. Takayama, Z. S. Yang, and R. Binder, "Evidence for intervalence band coherences in semiconductor quantum wells via coherently coupled optical Stark shifts," Phys. Rev. Lett. 87, 237402 (2001).
[CrossRef] [PubMed]

Zhang, T.

X. Li, T. Zhang, C. N. Borca, and S. T. Cundiff, "Many-body interactions in semiconductors probed by optical two-dimensional Fourier transform spectroscopy," Phys. Rev. Lett. 96, 057406 (2006).
[CrossRef] [PubMed]

Zimmermann, R.

U. Jahn, M. Ramsteiner, R. Hey, H. T. Grahn, E. Runge, and R. Zimmermann, "Effective exciton mobility edge in narrow quantum wells," Phys. Rev. B 56, R4387-R4390 (1997).
[CrossRef]

Appl. Phys. Lett. (1)

K. Leo, T. C. Damen, J. Shah, E. O. Göbel, and K. Köhler, "Quantum beats of light hole and heavy hole excitons in quantum wells," Appl. Phys. Lett. 57, 19-21 (1990).
[CrossRef]

J. Chem. Phys. (1)

K. D. Rector, A. S. Kwok, C. Ferrante, A. Tokmakoff, C. W. Rella, and M. D. Fayer, "Vibrational anharmonicity and multilevel vibrational dephasing from vibrational echo beats," J. Chem. Phys. 106, 10027-10036 (1997).
[CrossRef]

J. Opt. Soc. Am. B (3)

J. Phys. Soc. Jpn. (1)

T. Yajima and Y. Taira, "Spatial optical parametric coupling of picosecond light pulses and transverse relaxation effect in resonant media," J. Phys. Soc. Jpn. 47, 1620-1626 (1979).
[CrossRef]

Opt. Lett. (1)

Phys. Rev. A (2)

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

S. T. Cundiff, "Effects of correlation between inhomogeneously broadened transitions on quantum beats in transient four-wave mixing," Phys. Rev. A 49, 3114-3118 (1994).
[CrossRef] [PubMed]

Phys. Rev. B (13)

A. Honold, T. Saku, Y. Horikoshi, and K. Kohler, "Optical dephasing of light-hole excitons in GaAs single quantum wells," Phys. Rev. B 45, 6010-6014 (1992).
[CrossRef]

A. V. Gopal and A. S. Vengurlekar, "Well-width dependence of light-hole exciton dephasing in GaAs quantum wells," Phys. Rev. B 62, 4624-4629 (2000).
[CrossRef]

T. Takagahara, "Localization and homogeneous dephasing relaxation of quasi-two-dimensional excitons in quantum-well heterostructures," Phys. Rev. B 32, 7013-7015 (1985).
[CrossRef]

G. Bongiovanni, A. Mura, F. Quochi, S. Gürtler, J. L. Staehli, F. Tassone, R. P. Stanley, U. Oesterle, and R. Houdré, "Coherent exciton-photon dynamics in semiconductor microcavities: the influence of inhomogeneous broadening," Phys. Rev. B 55, 7084-7090 (1997).
[CrossRef]

J. M. Shacklette and S. T. Cundiff, "Role of excitation induced shift in the coherent optical response of semiconductors," Phys. Rev. B 66, 045309 (2002).
[CrossRef]

J. Hegarty, L. Goldner, and M. D. Sturge, "Localized and delocalized two-dimensional excitons in GaAs-AlGaAs multiple-quantum-well structures," Phys. Rev. B 30, 7346-7348 (1984).
[CrossRef]

M. D. Webb, S. T. Cundiff, and D. G. Steel, "Stimulated-picosecond-photon-echo studies of localized exciton relaxation and dephasing in GaAs/AlxGa1-xAs multiple quantum wells," Phys. Rev. B 43, 12658-12661 (1991).
[CrossRef]

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Phys. Status Solidi B (1)

C. N. Borca, A. G. VanEngen Spivey, and S. T. Cundiff, "Anomalously fast decay of the LH-HH exciton Raman coherence," Phys. Status Solidi B 238, 521-524 (2003).
[CrossRef]

Physica E (Amsterdam) (1)

P. Chen, C. Piermarocchi, and L. J. Sham, "Theory of coherent optical control of exciton spin dynamics in a semiconductor dot," Physica E (Amsterdam) 10, 7-12 (2001).
[CrossRef]

Other (2)

J. Shah, Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures (Springer-Verlag, 1996).

A. G. VanEngen Spivey, C. N. Borca, and S. T. Cundiff are preparing a manuscript to be called "Dephasing of the LH-HH exciton Raman coherence in GaAs quantum wells: distinguishing between phonon and carrier scattering."

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Figures (5)

Fig. 1
Fig. 1

(a) Experimental setup for three-beam transient four-wave-mixing experiments. When T > 0 and τ > 0 , the pulses arrive in sequence (1, 2, 3). (b) Absorption spectrum of quantum-well sample at 4 K (left axis) and excitation laser spectrum (right axis).

Fig. 2
Fig. 2

(a) TFWM signal intensity at 3.8 K , excitation density N 10 11 cm 2 , varying the delay τ between pulses 1 and 2 while delay T is held at 2.28 ps . (b) TFWM signal intensity at 3.8 K , excitation density N 10 11 cm 2 , varying the delay T between pulses 2 and 3 with delay τ held at 0.68 ps .

Fig. 3
Fig. 3

Delays τ n of the extrema (peaks and troughs) of quantum beats in Fig. 2a versus phase ϕ n (circles) and linear fit to the first four extrema. Inset shows enlargement of results for largest values of ϕ and uncertainties in τ n .

Fig. 4
Fig. 4

(a) Measured TFWM signal intensity for positive delays τ (circles) with delay T = 2.28 ps , theoretical fit using full theory (solid curve) and theoretical fit without frequency-dependent dephasing (dashed curve). The inset shows an expanded version of the larger-delay region. (b) Measured TFWM signal intensity for positive delays T (circles) with delay τ = 0.68 ps , theoretical fit using full theory (solid curve) and theoretical fit without frequency-dependent dephasing (dashed curve).

Fig. 5
Fig. 5

(a) Schematic diagram of frequency-dependent dephasing rates (dashed curves, right axis) and in-phase LH and HH exciton distributions at τ = 0 ps (thick solid curves, left axis), assuming that the LH exciton dephases more rapidly on the high-frequency side of its inhomogeneous distribution. In-phase LH and HH exciton distributions calculated at τ = 4 ps using a simple phenomenological model are also shown (thin solid curves, left axis). (b) Same as (a) except here we assume that the LH excitons dephase more rapidly on the low-frequency side of the distribution. (c) Experimental delays τ n versus phase ϕ n of the extrema (peaks and troughs) of quantum beats in Fig. 2a (circles), linear fit to the first four extrema (solid line), and calculations from Eqs. (7, 8, 9) (dashed line) for the case shown in (b).

Equations (10)

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i ρ ̇ = [ H 0 , ρ ] + [ V , ρ ] + i ( ρ t ) decay ,
γ LH ph = γ LH , 0 ph + γ LH , freq ph ( ω LH ω Q ) 2 ,
γ HH ph = γ HH , 0 ph + γ HH , freq ph ( ω HH ω P ) 2 .
g ( ω HH , ω LH ) = ( a 11 a 22 a 12 2 ) 1 2 π exp [ a 11 ( ω HH ω HH c ) 2 + 2 a 12 ( ω HH ω HH c ) ( ω LH ω LH c ) a 22 ( ω LH ω LH c ) 2 ]
ρ 12 inhom ( t , T , τ ) = + + g ( ω HH , ω LH ) ρ 12 ( 3 ) ( t , T , τ ) d ω HH d ω LH .
I 12 ( T , τ ) = + I 12 ( t , T , τ ) d t = + P 12 ( t , T , τ ) P 12 ( t , T , τ ) * d t
= + μ 12 2 ρ 12 inhom ( t , T , τ ) ρ 12 inhom * ( t , T , τ ) d t ,
ω HH , avg ( τ ) = γ HH , freq ph τ ω P δ ω HH 2 ln 2 + γ HH , freq ph τ
ω LH , avg ( τ ) = ( ω LH c ω HH c ) + γ LH , freq ph τ ω Q δ ω LH 2 ln 2 + γ LH , freq ph τ
ϕ ( τ ) = τ 0 τ { ω LH , avg ( τ ) ω HH , avg ( τ ) } d τ .

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