OSA's Digital Library

Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 18, Iss. 9 — Sep. 1, 2001
  • pp: 1318–1325

Spectral signatures of χ(5) processes in four-wave mixing of homogeneously broadened excitons

W. Langbein, T. Meier, S. W. Koch, and J. M. Hvam  »View Author Affiliations

JOSA B, Vol. 18, Issue 9, pp. 1318-1325 (2001)

View Full Text Article

Enhanced HTML    Acrobat PDF (277 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The influence of fifth-order coherences on the spectrally resolved four-wave mixing response of predominantly homogeneously broadened quasi-two-dimensional excitons is studied. Fifth-order signatures are discussed as a function of spectral position and excitation polarization. An exciton–biexciton beating for positive delay times is the dominant effect, which is pronounced at the exciton–biexciton transition for collinearly polarized excitation and at the exciton transition for cross-linearly polarized excitation. For negative delay times and collinearly polarized excitation a pronounced exciton–biexciton beating at the exciton resonance is observed that is vanishing for long negative delays owing to the faster dephasing in the two-exciton continuum compared with the bound biexciton state. These results are in qualitative agreement with microscopic model calculations that include the coherent dynamics of one- and two-exciton resonances up to the fifth order in the optical field.

© 2001 Optical Society of America

OCIS Codes
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.5970) Nonlinear optics : Semiconductor nonlinear optics including MQW
(300.2570) Spectroscopy : Four-wave mixing
(300.6240) Spectroscopy : Spectroscopy, coherent transient
(320.7130) Ultrafast optics : Ultrafast processes in condensed matter, including semiconductors

W. Langbein, T. Meier, S. W. Koch, and J. M. Hvam, "Spectral signatures of χ(5) processes in four-wave mixing of homogeneously broadened excitons," J. Opt. Soc. Am. B 18, 1318-1325 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. 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]
  2. M. Lindberg, Y. Z. Hu, R. Binder, and S. W. Koch, “χ(3) formalism in optically excited semiconductors and its applications in four-wave-mixing spectroscopy,” Phys. Rev. B 50, 18060–18072 (1994). [CrossRef]
  3. V. M. Axt and A. Stahl, “The role of the biexciton in a dynamic density matrix theory of the semiconductor band edge,” Z. Phys. B 93, 205–211 (1994). [CrossRef]
  4. V. M. Axt and A. Stahl, “A dynamics-controlled truncation scheme for the hierarchy of density matrices in semiconductor optics,” Z. Phys. B 93, 195–204 (1994). [CrossRef]
  5. 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]
  6. D. S. Chemla, J.-Y. Bigot, M.-A. Mycek, S. Weiss, and W. Schäfer, “Ultrafast phase dynamics of coherent emission from excitons in GaAs quantum wells,” Phys. Rev. B 50, 8439–8453 (1994). [CrossRef]
  7. E. J. Mayer, G. O. Smith, V. Heukenroth, J. Kuhl, K. Bott, A. Schulze, T. Meier, D. Bennhardt, S. W. Koch, and P. Thomas, “Evidence of biexcitonic contributions to four-wave mixing in GaAs quantum wells,” Phys. Rev. B 50, 14730–14733 (1994). [CrossRef]
  8. T. Östreich, K. Schönhammer, and L. Sham, “Exciton-exciton correlation in the non-linear optical regime,” Phys. Rev. Lett. 74, 4698–4701 (1995). [CrossRef]
  9. W. Schäfer, D. Kim, J. Shah, T. Damen, J. Cunningham, K. Goossen, L. Pfeiffer, and K. Köhler, “Femtosecond coherent fields induced by many-particle correlations in transient four-wave mixing,” Phys. Rev. B 53, 16429–16443 (1996). [CrossRef]
  10. F. Jahnke, M. Kira, S. W. Koch, G. Kitrova, E. K. Lindmark, T. R. Nelson, D. V. Wick, J. D. Berger, O. Lyngnes, H. M. Gibbs, and K. Tai, “Excitonic Nonlinearities of Semiconductor Microcavities in the Non-perturbative Regime,” Phys. Rev. Lett. 77, 5257–5260 (1996). [CrossRef] [PubMed]
  11. P. Kner, S. Bar-Ad, M. V. Marquezini, D. S. Chemla, and W. Schäfer, “Magnetically enhanced exciton-exciton correlations in semiconductors,” Phys. Rev. Lett. 78, 1319–1322 (1997). [CrossRef]
  12. P. Kner, W. Schäfer, R. Lövenich, and D. S. Chemla, “Coherence of four-particle correlations in semiconductors,” Phys. Rev. Lett. 81, 5386–5389 (1998). [CrossRef]
  13. C. Sieh, T. Meier, F. Jahnke, A. Knorr, S. W. Koch, P. B. M. Hübner, C. Ell, J. Prineas, G. Khitrova, and H. M. Gibbs, “Coulomb memory signatures in the excitonic optical stark effect,” Phys. Rev. Lett. 82, 3112–3115 (1999). [CrossRef]
  14. C. Sieh, T. Meier, A. Knorr, F. Jahnke, P. Thomas, and S. Koch, “Influence of carrier correlations on the excitonic optical response including disorder and microcavity effects,” Eur. Phys. J. B 11, 407–421 (1999). [CrossRef]
  15. V. M. Axt, K. Victor, and T. Kuhn, “The exciton-exciton continuum and its contribution to four-wave mixing signals,” Phys. Status Solidi B 206, 189–196 (1998). [CrossRef]
  16. K. Victor, V. M. Axt, and A. Stahl, “Hierarchy of density matrices in coherent semiconductor optics,” Phys. Rev. B 51, 14164–14175 (1995). [CrossRef]
  17. G. Bartels, V. M. Axt, K. Victor, A. Stahl, P. Leisching, and K. Köhler, “χ(5) signature in the four-wave-mixing signal from a GaAs/Al0.3Ga0.7As superlattice,” Phys. Rev. B 51, 11217–11220 (1995). [CrossRef]
  18. T. F. Albrecht, K. Bott, T. Meier, A. Shulze, M. Koch, S. T. Cundiff, J. Feldmann, W. Stolz, P. Thomas, S. W. Koch, and E. O. Göbel, “Disorder mediated biexcitonic beats in semiconductor quantum wells,” Phys. Rev. B 54, 4436–4439 (1996). [CrossRef]
  19. G. Bartels, A. Stahl, V. M. Axt, B. Haase, U. Neukirch, and J. Gutowski, “Identification of higher-order electronic coherences in semiconductors by their signature in four-wave-mixing signals,” Phys. Rev. Lett. 81, 5880–5883 (1999). [CrossRef]
  20. B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, V. M. Axt, J. Nürnberger, and W. Faschinger, “Manifestation of exciton-amplitude fluctuations in the transient polarization state of four-wave-mixing signals,” Phys. Rev. B 59, R7805–7808 (1999). [CrossRef]
  21. B. Haase, U. Neukirch, J. Gutowski, G. Bartels, V. M. A. A. Stahl, J. Nürnberger, and W. Faschinger, “Spectral signature of biexciton beats in four-wave-mixing experiments,” in Proceedings of the 24th International Conference on the Physics of Semiconductors, Jerusalem, 1998 (World Scientific, Singapore, 1999).
  22. B. Haase, U. Neukirch, J. Gutowski, G. Bartels, A. Stahl, J. Nürnberger, and W. Faschinger, “Coherent dynamics of excitons and biexcitons: polarization and intensity dependence,” Phys. Status Solidi B 206, 363–368 (1998). [CrossRef]
  23. T. Meier, S. Koch, P. Brick, C. Ell, G. Khitrova, and H. Gibbs, “Signatures of correlations in intensity-dependent excitonic absorption changes,” Phys. Rev. B 62, 4218–4221 (2000). [CrossRef]
  24. J. Y. Bigot, A. Daunois, J. Oberlé, and J. C. Merle, “Femtosecond dephasing in CdSxSe1−x mixed crystals: the role of localized biexcitons,” Phys. Rev. Lett. 71, 1820–1823 (1993). [CrossRef] [PubMed]
  25. W. Langbein and J. M. Hvam, “Dephasing in the quasi two-dimensional exciton-biexciton system,” Phys. Rev. B 61, 1692–1695 (2000). [CrossRef]
  26. S. Haas, T. Stroucken, M. Hübner, J. Kuhl, B. Grote, A. Knorr, F. Jahnke, S. W. Koch, R. Hey, and K. Ploog, “Intensity dependence of superradiant emission from radiatively coupled excitons in multiple-quantum-well Bragg structures,” Phys. Rev. B 57, 14860–14868 (1998). [CrossRef]
  27. J. Shah, Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures, Vol. 115 of Springer Series in Solid-State Sciences (Springer, Berlin, 1996), Chap. 2.
  28. M. Wegener, D. Chemla, S. Schmitt-Rink, and W. Schäfer, “Line shape of time-resolved four-wave mixing,” Phys. Rev. A 42, 5675–5683 (1990). [CrossRef] [PubMed]
  29. M. Lindberg, R. Binder, and S. W. Koch, “Theory of the semiconductor photon echo,” Phys. Rev. A 45, 1865–1875 (1992). [CrossRef] [PubMed]
  30. The additionally observed weak beating might be due to a nonperfect polarization configuration.
  31. K. Bott, O. Heller, D. Bennhardt, S. Cundiff, P. Thomas, E. Mayer, G. 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]
  32. K. Bott, E. J. Mayer, G. O. Smith, V. Heukeroth, M. Hübner, J. Kuhl, A. Schulze, M. Lindberg, S. W. Koch, P. Thomas, K. 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]
  33. A. Paul, J. Bolger, A. Smirl, and J. Pellegrino, “Time-resolved measurements of the polarization state of four-wave mixing signals from GaAs multiple quantum wells,” J. Opt. Soc. Am. B 13, 1016–1025 (1996). [CrossRef]
  34. Y. 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]
  35. T. Östreich, K. Schönhammer, and L. J. Sham, “Theory of exciton-exciton correlation in nonlinear optical response,” Phys. Rev. B 58, 12920–12936 (1998). [CrossRef]
  36. S. Weiser, T. Meier, J. Möbius, A. Euteneuer, E. J. Mayer, W. Stolz, M. Hofmann, W. W. Rühle, P. Thomas, and S. W. Koch, “Disorder-induced dephasing in semiconductors,” Phys. Rev. B 61, 13088–13098 (2000). [CrossRef]
  37. T. Meier and S. W. Koch, “Excitons versus unbound electron-hole pairs and their influence on exciton bleaching: a model study,” Phys. Rev. B 59, 13202–13208 (1999). [CrossRef]
  38. A. Thränhardt, S. Kuckenberg, A. Knorr, T. Meier, and S. W. Koch, “Quantum theory of phonon-assisted exciton formation and luminescence in semiconductor quantum wells,” Phys. Rev. B 62, 2706–2720 (2000). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited