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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    [CrossRef] [PubMed]
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1998 (2)

1997 (3)

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

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]

1996 (3)

1995 (1)

1992 (2)

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]

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.

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

A. E. Paul, J. A. Bolger, and A. L. Smirl, J. Opt. Soc. Am. B 13, 1016 (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.

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

A. E. Paul, J. A. Bolger, and A. L. Smirl, J. Opt. Soc. Am. B 13, 1016 (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.

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]

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)

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]

R. T. Phillips, ed., Coherent Optical Interactions in Semiconductors (Plenum, New York, 1994), 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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