Normal mode oscillation in the presence of
inhomogeneous broadening

doi:10.1364/OE.1.000370

Optics Express

Editor: J. H. Eberly
Vol. 1, Iss. 12 — Dec. 8, 1997
pp: 370–375

Normal mode oscillation in the presence of inhomogeneous broadening

Hailin Wang, Young-tak Chough, S. E. Palmer, and Howard Carmichael »View Author Affiliations

Optics Express, Vol. 1, Issue 12, pp. 370-375 (1997)
http://dx.doi.org/10.1364/OE.1.000370

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Abstract
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Abstract

We investigate effects of inhomogeneous broadening of excitons on normal mode oscillation in semiconductor microcavities using a coupled oscillator model. We show that inhomogeneous broadening can drastically alter the coherent oscillatory energy exchange process even in regimes where normal mode splitting remains nearly unchanged. The depth, frequency, and phase of normal mode oscillations of excitons at a given energy within the inhomogeneous distribution depend strongly on the energy separation between the exciton and the normal mode resonance. In addition, for an inhomogeneous broadened system, pronounced oscillations in the intensity of the optical field or the total induced optical polarization no longer imply a similar oscillatory coherent energy exchange between excitons and cavity photons.

[Optical Society of America ]

OCIS Codes
(270.1670) Quantum optics : Coherent optical effects
(320.7130) Ultrafast optics : Ultrafast processes in condensed matter, including semiconductors

ToC Category:
Focus Issue: Coherent Phenomena in Solids

History
Original Manuscript: September 30, 1997
Published: December 8, 1997

Citation
Hailin Wang, Young-tak Chough, S. E. Palmer, and Howard Carmichael, "Normal mode oscillation in the presence of inhomogeneous broadening," Opt. Express 1, 370-375 (1997)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-1-12-370

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References

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, "Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity," Phys. Rev. Lett. 69, 3314 (1992). [CrossRef] [PubMed]
T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, "Time-resolved vacuum Rabi oscillations in a semiconductor quantum microcavity," Phys. Rev. B 50, 14663 (1994). [CrossRef]
J. Jacobson, S. Pau, H. Cao, G. Bjork, Y. Yamamoto, "Observation of exciton-polariton oscillating emission in a single-quantum-well semiconductor microcavity," Phys. Rev. A 51 2542 (1995). [CrossRef] [PubMed]
Hailin Wang, Jagdeep Shah, T. C. Damen, W. Y. Jan, J. E. Cunningham, M. H. Hong, and J. P. Mannaerts, "Coherent oscillations in semiconductor microcavities," Phys. Rev. B 51, 14713 (1995). [CrossRef]
D. Bogavarapu, D. McAlister, A. Anderson, M. Munroe, M. G. Raymer, G. Khitrova, and H. M. Gibbs, "Ultrafast photon statistics of normal mode coupling in a semiconductor microcavity," Quantum Electronics and Laser Science Conference, OSA Technical Digest 9, 33 (1996).
S. Pau, G. Bjork, H. Cao, E. Hanamura, and Y. Yamamoto, "Theory of inhomogeneous microcavity polariton splitting," Solid State Commun. 98, 781 (1996). [CrossRef]
F. Jahnke, M. Ruopp, M. Kira, and S. W. Koch, "Ultrafast pulse propagation and excitonic nonlinearities in semiconductor microcavities," Adv. in Solid State Phys. 37, accepted for publication (1997).
H. J. Carmichael , "Quantum fluctuations in absorptive bistability without adiabatic elimination," Phys. Rev. A 33, 3262 (1986). [CrossRef] [PubMed]
Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Vacuum Rabi splitting as a feature of linear dispersion theory, Phys. Rev. Lett. 64, 2499 (1990). [CrossRef] [PubMed]
M. Kira, F. Jahnke, S. W. Koch, "Ultrashort pulse propagation effects in semiconductor microcavities," Solid State Commun. 102, 703 (1997). [CrossRef]
R. Zimmermann and E. Runge, "Exciton lineshape in semiconductor quantum structures with interface roughness," J. Lumin. 60&61, 320 (1994). [CrossRef]
D.M. Whittaker, P. Kinsler, T.A. Fisher, M.S. Skolnick, A. Armitage, A.M. Afshar, M.D. Sturge, and J.S. Roberts, "Motional narrowing in semiconductor microcavities," Phys. Rev. Lett. 77, 4792 (1996). [CrossRef] [PubMed]
V. Savona, C. Piermarocchi, A. Quattropani, F. Tassone, and P. Schwendimann, "Microscopic theory of motional narrowing of microcavity polaritons in a disordered potential," Phys. Rev. Lett. 78, 4470 (1997). [CrossRef]
Different line width for lower and upper cavity-polaritons can also be obtained by using the simple coupled-oscillator model and an asymmetric inhomogeneous lineshape.

Other

C. Weisbuch, M. Nishioka, A. Ishikawa, and Y. Arakawa, "Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity," Phys. Rev. Lett. 69, 3314 (1992). [CrossRef] [PubMed]
T. B. Norris, J. K. Rhee, C. Y. Sung, Y. Arakawa, M. Nishioka, C. Weisbuch, "Time-resolved vacuum Rabi oscillations in a semiconductor quantum microcavity," Phys. Rev. B 50, 14663 (1994). [CrossRef]
J. Jacobson, S. Pau, H. Cao, G. Bjork, Y. Yamamoto, "Observation of exciton-polariton oscillating emission in a single-quantum-well semiconductor microcavity," Phys. Rev. A 51 2542 (1995). [CrossRef] [PubMed]
Hailin Wang, Jagdeep Shah, T. C. Damen, W. Y. Jan, J. E. Cunningham, M. H. Hong, and J. P. Mannaerts, "Coherent oscillations in semiconductor microcavities," Phys. Rev. B 51, 14713 (1995). [CrossRef]
D. Bogavarapu, D. McAlister, A. Anderson, M. Munroe, M. G. Raymer, G. Khitrova, and H. M. Gibbs, "Ultrafast photon statistics of normal mode coupling in a semiconductor microcavity," Quantum Electronics and Laser Science Conference, OSA Technical Digest 9, 33 (1996).
S. Pau, G. Bjork, H. Cao, E. Hanamura, and Y. Yamamoto, "Theory of inhomogeneous microcavity polariton splitting," Solid State Commun. 98, 781 (1996). [CrossRef]
F. Jahnke, M. Ruopp, M. Kira, and S. W. Koch, "Ultrafast pulse propagation and excitonic nonlinearities in semiconductor microcavities," Adv. in Solid State Phys. 37, accepted for publication (1997).
H. J. Carmichael , "Quantum fluctuations in absorptive bistability without adiabatic elimination," Phys. Rev. A 33, 3262 (1986). [CrossRef] [PubMed]
Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael, and T. W. Mossberg, Vacuum Rabi splitting as a feature of linear dispersion theory, Phys. Rev. Lett. 64, 2499 (1990). [CrossRef] [PubMed]
M. Kira, F. Jahnke, S. W. Koch, "Ultrashort pulse propagation effects in semiconductor microcavities," Solid State Commun. 102, 703 (1997). [CrossRef]
R. Zimmermann and E. Runge, "Exciton lineshape in semiconductor quantum structures with interface roughness," J. Lumin. 60&61, 320 (1994). [CrossRef]
D.M. Whittaker, P. Kinsler, T.A. Fisher, M.S. Skolnick, A. Armitage, A.M. Afshar, M.D. Sturge, and J.S. Roberts, "Motional narrowing in semiconductor microcavities," Phys. Rev. Lett. 77, 4792 (1996). [CrossRef] [PubMed]
V. Savona, C. Piermarocchi, A. Quattropani, F. Tassone, and P. Schwendimann, "Microscopic theory of motional narrowing of microcavity polaritons in a disordered potential," Phys. Rev. Lett. 78, 4470 (1997). [CrossRef]
Different line width for lower and upper cavity-polaritons can also be obtained by using the simple coupled-oscillator model and an asymmetric inhomogeneous lineshape.

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