Abstract

Dual-channel spectral interferometry is used to measure the ellipticity, the orientation of the polarization ellipse, and the sense of rotation of the four-wave-mixing signal from a GaAs–AlGaAs multiple quantum well. Each parameter is observed to oscillate dramatically at the heavy-hole–light-hole quantum beat frequency. During each beat period (in the strong quantum beat regime), the ellipticity oscillates twice between linear and almost-circular polarization, the orientation of the polarization ellipse rotates through a complete 180°, and the sense of rotation changes from left- to right-circular polarization.

© 1998 Optical Society of America

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1998 (2)

1997 (3)

W. J. Walecki, D. N. Fittinghoff, A. L. Smirl, and R. Trebino, Opt. Lett. 22, 81 (1997).
[CrossRef] [PubMed]

A. L. Smirl, W. J. Walecki, X. Chen, and O. Buccafusca, Phys. Status Solidi B 204, 16 (1997).
[CrossRef]

P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, Phys. Rev. Lett. 78, 1319 (1997).
[CrossRef]

1996 (3)

1995 (1)

1992 (2)

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).
[CrossRef] [PubMed]

Bain, D. J.

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Bar-Ad, S.

P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, Phys. Rev. Lett. 78, 1319 (1997).
[CrossRef]

Bennhardt, D.

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

Blewett, I. J.

Bolger, J. A.

A. E. Paul, J. A. Bolger, and A. L. Smirl, J. Opt. Soc. Am. B 13, 1016 (1996).
[CrossRef]

J. A. Bolger, A. E. Paul, and A. L. Smirl, Phys. Rev. B 54, 11666 (1996).
[CrossRef]

Bott, K.

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

Bowie, J. L.

Buccafusca, O.

O. Buccafusca, X. Chen, W. J. Walecki, and A. L. Smirl, J. Opt. Soc. Am. B 15, 1218 (1998).
[CrossRef]

A. L. Smirl, W. J. Walecki, X. Chen, and O. Buccafusca, Phys. Status Solidi B 204, 16 (1997).
[CrossRef]

Cavenett, B. C.

Chemla, D. S.

P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, Phys. Rev. Lett. 78, 1319 (1997).
[CrossRef]

Chen, X.

O. Buccafusca, X. Chen, W. J. Walecki, and A. L. Smirl, J. Opt. Soc. Am. B 15, 1218 (1998).
[CrossRef]

A. L. Smirl, W. J. Walecki, X. Chen, and O. Buccafusca, Phys. Status Solidi B 204, 16 (1997).
[CrossRef]

Chériaux, G.

DeLong, K. W.

Eccleston, R.

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

Feldmann, J.

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).
[CrossRef] [PubMed]

Fittinghoff, D. N.

Galbraith, I.

Göbel, E. O.

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).
[CrossRef] [PubMed]

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Heller, O.

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

Heuckeroth, V.

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Jennings, R. T.

Joffre, M.

Kar, A. K.

Kim, D. S.

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Kner, P.

P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, Phys. Rev. Lett. 78, 1319 (1997).
[CrossRef]

Koch, M.

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).
[CrossRef] [PubMed]

Köhler, K.

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Krumbügel, M. A.

Kuhl, J.

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Lepetit, L.

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Marquezini, M. V.

P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, Phys. Rev. Lett. 78, 1319 (1997).
[CrossRef]

Mayer, E. J.

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

Paul, A. E.

A. E. Paul, J. A. Bolger, and A. L. Smirl, J. Opt. Soc. Am. B 13, 1016 (1996).
[CrossRef]

J. A. Bolger, A. E. Paul, and A. L. Smirl, Phys. Rev. B 54, 11666 (1996).
[CrossRef]

Prior, K. A.

Schäfer, W.

P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, Phys. Rev. Lett. 78, 1319 (1997).
[CrossRef]

Schmitt-Rink, S.

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Shah, J.

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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Smirl, A. L.

Smith, G.

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

Sweetser, J. N.

Thomas, 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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).
[CrossRef] [PubMed]

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

Tookey, A.

Trebino, R.

Vögele, B.

von Plessen, G.

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).
[CrossRef] [PubMed]

Walecki, W. J.

Walmsey, I. A.

Wherrett, B. S.

J. Opt. Soc. Am. B (4)

Opt. Lett. (2)

Phys. Rev. B (2)

J. A. Bolger, A. E. Paul, and A. L. Smirl, Phys. Rev. B 54, 11666 (1996).
[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, Phys. Rev. B 46, 10460 (1992).
[CrossRef]

Phys. Rev. Lett. (2)

M. Koch, J. Feldmann, G. von Plessen, E. O. Göbel, P. Thomas, and K. Köhler, Phys. Rev. Lett. 69, 3631 (1992).
[CrossRef] [PubMed]

P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, Phys. Rev. Lett. 78, 1319 (1997).
[CrossRef]

Phys. Status Solidi B (1)

A. L. Smirl, W. J. Walecki, X. Chen, and O. Buccafusca, Phys. Status Solidi B 204, 16 (1997).
[CrossRef]

Other (2)

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

J. Kuhl, E. J. Mayer, G. Smith, R. Eccleston, D. Bennhardt, P. Thomas, K. Bott, and O. Heller, in Coherent Optical Interactions in Semiconductors, R. T. Phillips, ed. (Plenum, New York, 1994), p. 1, and references therein.
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

(a) Spectral interferometric geometry for the dual-channel measurement of the amplitude, phase, and polarization state of the FWM signal, (b) typical spectral interferograms for the x and y components as displayed on the CCD array attached to the spectrometer, and (c) schematic showing the laser detuning with respect to the FWM power spectrum. FROG, Frequency-resolved optical grating.

Fig. 2
Fig. 2

Representative time-resolved measurements of the azimuthal angle θsig, ellipticity , and total intensity S0 of the FWM intensity for selected angles θ12 between the two linearly polarized incident pulses.

Fig. 3
Fig. 3

Schematic of the temporal evolution of the polarization ellipse corresponding to the data in Fig.  2 for θ12=60°.

Fig. 4
Fig. 4

Simulated quantum beats in the polarization state calculated from the single-particle density-matrix equations for the two independent three-level systems shown in the inset.

Equations (1)

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EFWHΘtΘτ21E22E1* exp-γt+τ12×1+A exp-iΩt1+A expiΩτ21cosθ12xˆ-1-A exp-iΩt1-A expiΩτ21sinθ12yˆ,

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