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Temperature dependence of a femtosecond degenerate four-wave mixing signal from 350-μm-thick undoped InP far below the band gap
Sungkyu Yu, Joo In Lee, Dongho Kim, D. S. Kim, Y. H. Yee, and Jong Hyun Lee »View Author Affiliations
Sungkyu Yu, Joo In Lee, Dongho Kim
Spectroscopy Laboratory, Korea Research Institute of Standards and Science, Taejon 305–600, Korea
Department of Physics, Seoul National University, Seoul 151–742, Korea
Department of Electronic Engineering, Kyungpook National University, Taegu 702–701, Korea
JOSA B, Vol. 14, Issue 6, pp. 1465-1471 (1997)
http://dx.doi.org/10.1364/JOSAB.14.001465
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Abstract
We experimentally investigated the temporal and spectral profiles of the four-wave mixing (FWM) signals from 350-μm-thick undoped InP at various temperatures when the laser was tuned from the exciton resonance to 100 meV below the band gap. The temporal and spectral shapes of the observed FWM signals well below the band gap were nearly consistent with those of the excitation laser pulse and exhibited significantly different behavior from the excitonic properties in thin samples. Furthermore, we observed temperature-independent large blue shifts of the spectrally resolved FWM signals far below the band gap with respect to the excitation laser spectrum when the time delay moved from positive to negative. Based on our experimental observations, we conclude that this behavior can be explained not simply by the excitonic effects but by the instantaneously created virtual states and the frequency-broadening effect.
© 1997 Optical Society of America
Citation
Sungkyu Yu, Joo In Lee, Dongho Kim, D. S. Kim, Y. H. Yee, and Jong Hyun Lee, "Temperature dependence of a femtosecond degenerate four-wave mixing signal from 350-μm-thick undoped InP far below the band gap," J. Opt. Soc. Am. B 14, 1465-1471 (1997)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-14-6-1465
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References
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Bott, K.
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- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
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- D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, W. Schäfer, and L. N. Pfeiffer, “Femtosecond-pulse distortion in quantum wells,” Phys. Rev. B 48, 17902–17905 (1993).
- D. S. Kim, J. Shah, J. E. Cunningham, T. C. Damen, W. Schäfer, M. Hartmann, and S. Schmitt-Rink, “Giant exciton resonance in time-resolved four-wave mixing in quantum wells,” Phys. Rev. Lett. 68, 1006–1009 (1992).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- C. Dörnfeld and J. M. Hvam, “Optical nonlinearities and phase coherence in CdSe studied by transient four-wave mixing,” IEEE J. Quantum Electron. 25, 904–912 (1989).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- B. F. Feuerbacher, J. Kuhl, R. Eccleston, and K. Ploog, “Quantum beats between the light and heavy hole excitons in quantum wells,” Solid State Commun. 74, 1279–1283 (1990).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- R. G. Ulbrich and G. W. Fehrenbach, “Polariton wave packet propagation in the exciton resonance of a semiconductor,” Phys. Rev. Lett. 43, 963–966 (1979).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- B. F. Feuerbacher, J. Kuhl, R. Eccleston, and K. Ploog, “Quantum beats between the light and heavy hole excitons in quantum wells,” Solid State Commun. 74, 1279–1283 (1990).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- U. Siegner, M.-A. Mycek, S. Glutch, and D. S. Chemla, “Ultrafast coherent dynamics of Fano resonances in semiconductors,” Phys. Rev. Lett. 74, 470–473 (1995).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- D. S. Kim, J. Shah, J. E. Cunningham, T. C. Damen, W. Schäfer, M. Hartmann, and S. Schmitt-Rink, “Giant exciton resonance in time-resolved four-wave mixing in quantum wells,” Phys. Rev. Lett. 68, 1006–1009 (1992).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- 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).
- 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).
- L. Schultheis, J. Kuhl, and A. Honold, “Ultrafast phase relaxation of excitons via exciton-exciton and exciton-electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
- K.-H. Pantke, P. Schillak, B. S. Razbirin, V. G. Lyssenlo, and J. M. Hvam, “Nonlinear quantum beats of propagating polaritons,” Phys. Rev. Lett. 70, 327–330 (1993).
- C. Dörnfeld and J. M. Hvam, “Optical nonlinearities and phase coherence in CdSe studied by transient four-wave mixing,” IEEE J. Quantum Electron. 25, 904–912 (1989).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- D. S. Kim, J. Shah, T. C. Damen, W. Schäfer, L. N. Pfeiffer, and K. Kühler, “Instantaneous contribution in timeresolved four-wave mixing from GaAs quantum wells near zero time delay,” Phys. Rev. B 50, 15086–15094 (1994).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, W. Schäfer, and L. N. Pfeiffer, “Femtosecond-pulse distortion in quantum wells,” Phys. Rev. B 48, 17902–17905 (1993).
- D. S. Kim, J. Shah, J. E. Cunningham, T. C. Damen, W. Schäfer, M. Hartmann, and S. Schmitt-Rink, “Giant exciton resonance in time-resolved four-wave mixing in quantum wells,” Phys. Rev. Lett. 68, 1006–1009 (1992).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- 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).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- 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).
- B. F. Feuerbacher, J. Kuhl, R. Eccleston, and K. Ploog, “Quantum beats between the light and heavy hole excitons in quantum wells,” Solid State Commun. 74, 1279–1283 (1990).
- L. Schultheis, J. Kuhl, and A. Honold, “Ultrafast phase relaxation of excitons via exciton-exciton and exciton-electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
- D. S. Kim, J. Shah, T. C. Damen, W. Schäfer, L. N. Pfeiffer, and K. Kühler, “Instantaneous contribution in timeresolved four-wave mixing from GaAs quantum wells near zero time delay,” Phys. Rev. B 50, 15086–15094 (1994).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- H. J. Bakker and H. Kurz, “Polariton effects in four-wave mixing,” Phys. Rev. B 50, 7805–7808 (1994).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- K.-H. Pantke, P. Schillak, B. S. Razbirin, V. G. Lyssenlo, and J. M. Hvam, “Nonlinear quantum beats of propagating polaritons,” Phys. Rev. Lett. 70, 327–330 (1993).
- A. Maruani and D. S. Chemla, “Active nonlinear spectroscopy of biexcitons in semiconductors: propagation effects and Fano interferences,” Phys. Rev. B 23, 841–860 (1981).
- T. Mishina and Y. Masumoto, “Coherent propagation of femtosecond optical pulses in a monoclinic ZnP_{2} single crystal,” Phys. Rev. Lett. 71, 2785–2788 (1993).
- 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).
- 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).
- D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, W. Schäfer, and L. N. Pfeiffer, “Femtosecond-pulse distortion in quantum wells,” Phys. Rev. B 48, 17902–17905 (1993).
- T. Mishina and Y. Masumoto, “Coherent propagation of femtosecond optical pulses in a monoclinic ZnP_{2} single crystal,” Phys. Rev. Lett. 71, 2785–2788 (1993).
- T. Rappen, G. Mohs, and M. Wegener, “Polariton dynamics in quantum wells studied by femtosecond four-wave mixing,” Phys. Rev. B 47, 9658–9662 (1993).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- M.-A. Mycek, J.-Y. Bigot, I. E. Perakis, and D. S. Chemla, “Measuring the ultrafast dynamics of Coulomb correlation effects: dephasing in nonequilibrium Fermi seas,” J. Opt. Soc. Am. B 13, 1284–1290 (1996).
- U. Siegner, M.-A. Mycek, S. Glutch, and D. S. Chemla, “Ultrafast coherent dynamics of Fano resonances in semiconductors,” Phys. Rev. Lett. 74, 470–473 (1995).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- K.-H. Pantke, P. Schillak, B. S. Razbirin, V. G. Lyssenlo, and J. M. Hvam, “Nonlinear quantum beats of propagating polaritons,” Phys. Rev. Lett. 70, 327–330 (1993).
Peyghambarian, N.
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- D. S. Kim, J. Shah, T. C. Damen, W. Schäfer, L. N. Pfeiffer, and K. Kühler, “Instantaneous contribution in timeresolved four-wave mixing from GaAs quantum wells near zero time delay,” Phys. Rev. B 50, 15086–15094 (1994).
- D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, W. Schäfer, and L. N. Pfeiffer, “Femtosecond-pulse distortion in quantum wells,” Phys. Rev. B 48, 17902–17905 (1993).
- 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).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- B. F. Feuerbacher, J. Kuhl, R. Eccleston, and K. Ploog, “Quantum beats between the light and heavy hole excitons in quantum wells,” Solid State Commun. 74, 1279–1283 (1990).
- T. Rappen, G. Mohs, and M. Wegener, “Polariton dynamics in quantum wells studied by femtosecond four-wave mixing,” Phys. Rev. B 47, 9658–9662 (1993).
- K.-H. Pantke, P. Schillak, B. S. Razbirin, V. G. Lyssenlo, and J. M. Hvam, “Nonlinear quantum beats of propagating polaritons,” Phys. Rev. Lett. 70, 327–330 (1993).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- D. S. Kim, J. Shah, T. C. Damen, W. Schäfer, L. N. Pfeiffer, and K. Kühler, “Instantaneous contribution in timeresolved four-wave mixing from GaAs quantum wells near zero time delay,” Phys. Rev. B 50, 15086–15094 (1994).
- D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, W. Schäfer, and L. N. Pfeiffer, “Femtosecond-pulse distortion in quantum wells,” Phys. Rev. B 48, 17902–17905 (1993).
- D. S. Kim, J. Shah, J. E. Cunningham, T. C. Damen, W. Schäfer, M. Hartmann, and S. Schmitt-Rink, “Giant exciton resonance in time-resolved four-wave mixing in quantum wells,” Phys. Rev. Lett. 68, 1006–1009 (1992).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- 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).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- P. Schillak and I. Balslev, “Theory of propagation effects in time-resolved four-wave mixing,” Phys. Rev. B 48, 9426–9433 (1993).
- K.-H. Pantke, P. Schillak, B. S. Razbirin, V. G. Lyssenlo, and J. M. Hvam, “Nonlinear quantum beats of propagating polaritons,” Phys. Rev. Lett. 70, 327–330 (1993).
- D. S. Kim, J. Shah, J. E. Cunningham, T. C. Damen, W. Schäfer, M. Hartmann, and S. Schmitt-Rink, “Giant exciton resonance in time-resolved four-wave mixing in quantum wells,” Phys. Rev. Lett. 68, 1006–1009 (1992).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- 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).
- L. Schultheis, J. Kuhl, and A. Honold, “Ultrafast phase relaxation of excitons via exciton-exciton and exciton-electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
- 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).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- D. S. Kim, J. Shah, T. C. Damen, W. Schäfer, L. N. Pfeiffer, and K. Kühler, “Instantaneous contribution in timeresolved four-wave mixing from GaAs quantum wells near zero time delay,” Phys. Rev. B 50, 15086–15094 (1994).
- D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, W. Schäfer, and L. N. Pfeiffer, “Femtosecond-pulse distortion in quantum wells,” Phys. Rev. B 48, 17902–17905 (1993).
- D. S. Kim, J. Shah, J. E. Cunningham, T. C. Damen, W. Schäfer, M. Hartmann, and S. Schmitt-Rink, “Giant exciton resonance in time-resolved four-wave mixing in quantum wells,” Phys. Rev. Lett. 68, 1006–1009 (1992).
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- U. Siegner, M.-A. Mycek, S. Glutch, and D. S. Chemla, “Ultrafast coherent dynamics of Fano resonances in semiconductors,” Phys. Rev. Lett. 74, 470–473 (1995).
- 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).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- 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).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- R. G. Ulbrich and G. W. Fehrenbach, “Polariton wave packet propagation in the exciton resonance of a semiconductor,” Phys. Rev. Lett. 43, 963–966 (1979).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- T. Rappen, G. Mohs, and M. Wegener, “Polariton dynamics in quantum wells studied by femtosecond four-wave mixing,” Phys. Rev. B 47, 9658–9662 (1993).
- 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).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- S. Wu, “Line shape analysis of higher order nonlinear processes in time-resolved degenerate four-wave mixing in GaAs,” J. Appl. Phys. 72, 8035–8040 (1993).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
Appl. Phys. Lett.
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
IEEE J. Quantum Electron.
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J. Appl. Phys.
- S. Wu, “Line shape analysis of higher order nonlinear processes in time-resolved degenerate four-wave mixing in GaAs,” J. Appl. Phys. 72, 8035–8040 (1993).
J. Opt. Soc. Am. B
Phys. Rev. A
- 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).
Phys. Rev. B
- K. Leo, E. O. Göbel, T. C. Damen, J. Shah, D. S. Chemla, S. Schmitt-Rink, W. Schäfer, J. F. Müller, K. Köhler, and P. Ganser, “Subpicosecond four-wave mixing in GaAs/Al_{x}Ga_{1−x}As quantum wells,” Phys. Rev. B 44, 5726–5737 (1991).
- D. S. Kim, J. Shah, T. C. Damen, W. Schäfer, L. N. Pfeiffer, and K. Kühler, “Instantaneous contribution in timeresolved four-wave mixing from GaAs quantum wells near zero time delay,” Phys. Rev. B 50, 15086–15094 (1994).
- A. Leitenstorfer, A. Lohner, K. Rick, P. Leisching, T. Elsaesser, T. Kuhn, F. Rossi, W. Stolz, and K. Ploog, “Excitonic and free-carrier polarizations of bulk GaAs studied by femtosecond coherent spectroscopy,” Phys. Rev. B 49, 16372–16380 (1994).
- 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).
- T. Rappen, G. Mohs, and M. Wegener, “Polariton dynamics in quantum wells studied by femtosecond four-wave mixing,” Phys. Rev. B 47, 9658–9662 (1993).
- D. S. Kim, J. Shah, D. A. B. Miller, T. C. Damen, W. Schäfer, and L. N. Pfeiffer, “Femtosecond-pulse distortion in quantum wells,” Phys. Rev. B 48, 17902–17905 (1993).
- P. Schillak and I. Balslev, “Theory of propagation effects in time-resolved four-wave mixing,” Phys. Rev. B 48, 9426–9433 (1993).
- H. J. Bakker and H. Kurz, “Polariton effects in four-wave mixing,” Phys. Rev. B 50, 7805–7808 (1994).
- A. Maruani and D. S. Chemla, “Active nonlinear spectroscopy of biexcitons in semiconductors: propagation effects and Fano interferences,” Phys. Rev. B 23, 841–860 (1981).
Phys. Rev. Lett.
- L. Schultheis, J. Kuhl, and A. Honold, “Ultrafast phase relaxation of excitons via exciton-exciton and exciton-electron collisions,” Phys. Rev. Lett. 57, 1635–1638 (1986).
- T. Stroucken, A. Knorr, C. Anthony, A. Schulze, P. Thomas, S. W. Kock, M. Koch, S. T. Cundiff, J. Feldmann, and E. O. Göbel, “Light propagation and disorder effects in semiconductor multiple quantum wells,” Phys. Rev. Lett. 74, 2391–2394 (1995).
- U. Siegner, M.-A. Mycek, S. Glutch, and D. S. Chemla, “Ultrafast coherent dynamics of Fano resonances in semiconductors,” Phys. Rev. Lett. 74, 470–473 (1995).
- K.-H. Pantke, P. Schillak, B. S. Razbirin, V. G. Lyssenlo, and J. M. Hvam, “Nonlinear quantum beats of propagating polaritons,” Phys. Rev. Lett. 70, 327–330 (1993).
- T. Mishina and Y. Masumoto, “Coherent propagation of femtosecond optical pulses in a monoclinic ZnP_{2} single crystal,” Phys. Rev. Lett. 71, 2785–2788 (1993).
- R. G. Ulbrich and G. W. Fehrenbach, “Polariton wave packet propagation in the exciton resonance of a semiconductor,” Phys. Rev. Lett. 43, 963–966 (1979).
- D. Fröhlich, A. Kulik, B. Uebbing, A. Mysyrowicz, V. Langer, H. Stolz, and W. von der Osten, “Coherent propagation and quantum beats of quadrupole polaritons in Cu_{2}O,” Phys. Rev. Lett. 67, 2343–2346 (1991).
- P. A. Harten, A. Knorr, J. P. Sokoloff, F. Brown de Colstoun, S. G. Lee, R. Jin, E. M. Wright, G. Khitrova, H. M. Gibbs, S. W. Koch, and N. Peyghambarian, “Propagation-induced escape from adiabatic following in a semiconductor,” Phys. Rev. Lett. 69, 852–855 (1992).
- A. J. Fischer, D. S. Kim, J. Hays, W. Shan, J. J. Song, D. B. Eason, J. F. Schetzina, H. Luo, J. K. Furdyna, Z. Q. Zhu, T. Yao, J. F. Klem, and W. Schäfer, “Femtosecond coherent spectroscopy of bulk ZnSe and ZnCdSe/ZnSe quantum wells,” Phys. Rev. Lett. 73, 2368–2371 (1994).
- D. S. Kim, J. Shah, J. E. Cunningham, T. C. Damen, W. Schäfer, M. Hartmann, and S. Schmitt-Rink, “Giant exciton resonance in time-resolved four-wave mixing in quantum wells,” Phys. Rev. Lett. 68, 1006–1009 (1992).
Solid State Commun.
- B. F. Feuerbacher, J. Kuhl, R. Eccleston, and K. Ploog, “Quantum beats between the light and heavy hole excitons in quantum wells,” Solid State Commun. 74, 1279–1283 (1990).
Other
- R. T. Phillips, Coherent Optical Interactions in Semiconductors (Plenum, New York, 1994).
- J. Shah, Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures (Springer-Verlag, Berlin, 1996).
1996, Yu, Appl. Phys. Lett.
- S. K. Yu, J. H. Chu, J. I. Lee, D. Kim, Y. H. Yee, D. S. Kim, J. Y. Leem, C. R. Lee, and J. H. Lee, “Strong instantaneous contribution in femtosecond degenerate four-wave mixing from 350 μm InP due to virtual excitation,” Appl. Phys. Lett. 69, 79–81 (1996).
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