Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M. Kira and S. W. Koch. Many-body correlations and excitonic effects in semiconductor spectroscopy. Prog. Quantum Electron. 30:155–296, 2006.
M. Born and R. Oppenheimer. Qantum theory of molecules. Ann. Phys., 84:457–484, 1927.
C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg. Photons and Atoms. Wiley, New York, 3. edition, 1989.
H. Haug and S. W. Koch. Quantum Theory of the Optical and Electronic Properties of Semiconductors. World Scientific Publ., Singapore, 4. edition, 2004.
E. Merzbacher. Quantum Mechanics. Wiley, New York, 1. edition, 1961.
L. I. Schiff. Quantum Mechanics. MacGraw-Hill, New York, 3. edition, 1968.
M. Kira, F. Jahnke, W. Hoyer, and S. W. Koch. Quantum theory of spontaneous emission and coherent effects in semiconductor microstructures. Prog. Quantum Electron., 23:189–279, 1999.
M. Goeppert Mayer. Elementary processes with two-quantum transitions. Ann. d. Physik, 9:273, 1931.
J. Cízek. On correlation problem in atomic and molecular systems. Calculation of wavefunction components in ursell-type expansion using quantum-field theoretical methods. J. Chem. Phys., 45:4256, 1966.
J. Fricke. Transport equations including many-particle correlations for an arbitrary quantum system: A general formalism. Ann. Phys., 252(2):479–498, 1996.
F. E. Harris, H. J. Monkhorst, and D. L. Freeman. Algebraic and Diagrammatic Methods in Many-Fermion Theory. Oxford Press, New York, 1. edition, 1992.
W. Hoyer, M. Kira, and S. W. Koch. Cluster expansion in semiconductor quantum optics. In K. Morawetz, editor, Nonequilibrium Physics at Short Time Scales, pages 309–335. Springer Verlag, Berlin, 2004.
M. Kira and S. W. Koch. Microscopic theory of optical excitations, photoluminescence, and terahertz response in semiconductors. Eur. J. Phys. D, 36:143–157, 2005.
M. Kira, W. Hoyer, and S. W. Koch. Excitons and luminescence in semiconductor heterostructures. Nonlinear Opt., 29:481–489, 2002.
G. D. Purvis and R. J. Bartlett. A full coupled-cluster singles and doubles model: The inclusion of disconnected triples. J. Chem. Phys., 76:1910–1918, 1982.
H. W. Wyld and B. D. Fried. Quantum mechanical kinetic equations. Ann. phys., 23:374–389,1963.
M. Kira, W. Hoyer, T. Stroucken, and S. W. Koch. Exciton formation in semiconductors and the influence of a photonic environment. Phys. Rev. Lett., 87:176401, 2001.
M. Kira, W. Hoyer, S. W. Koch, P. Brick, C. Ell, M. Hübner, G. Khitrova, and H. M. Gibbs. Quantum correlations in semiconductor microcavities. Semicond. Sci. Technol., 18:S405–S410, 2003.
S. W. Koch and M. Kira. Excitons in semiconductors. In H. Kalt and M. Hetterich, editors, Optics of Semiconductors and Their Nanostructures – Springer Series in Solid-State Sciences Vol. 146, pages 1–18. Springer Verlag, Berlin, 2004.
S. W. Koch, M. Kira, G. Khitrova, and H. M. Gibbs. Excitons in new light. Nat. Mater., 5:523–531, 2006.
W. Hoyer, M. Kira, and S. W. Koch. Influence of Coulomb and phonon interaction on the exciton formation dynamics in semiconductor heterostructures. Phys. Rev. B, 67:155113, 2003.
S. Siggelkow, W. Hoyer, M. Kira, and S. W. Koch. Exciton formation and stability in semiconductor heterostructures. Phys. Rev. B, 69:073104, 2004.
V. S. Filinov, W. Hoyer, M. Bonitz, M. Kira, V. E. Fortov, and S. W. Koch. Spontaneous emission of semiconductors in the Wigner approach. J. Opt. B, 5:S299–S305, 2003.
S. W. Koch, M. Kira, W. Hoyer, and V. S. Filinov. Exciton ionization in semiconductors. Phys. Stat. Sol. B, 238:404–410, 2003.
M. Hentschel, R. Kienberger, C. Spielmann, G. A. Reider, N. Milosevic, T. Brabec, P. Corkum, U. Heinzmann, M. Drescher, and F. Krausz. Attosecond metrology. Nature, 414:509–513, 2001.
D. J. Jones, S. A. Diddams, J. K. Ranka, A. Stenz, R. S. Windeler, J. L. Hall, and S. T. Cundiff. Carrier-envelope phase control of femtosecond mode-locked lasers and direct optical frequency synthesis. Science, 288:635–639,2000.
J. Shah. Ultrafast Spectroscopy of Semiconductors and Semiconductor Nanostructures – Springer Series in Solid State Sciences, Vol. 115. Springer Verlag, New York, 2. edition, 1999.
T. Udem, R. Holzwarth, and T. W. Hänsch. Optical frequency metrology. Nature, 416:233–237, 2002.
G. W. Fehrenbach, W. Schäfer, J. Treusch, and R. G. Ulbrich. Transient optical spectra of a dense exciton gas in a direct-gap semiconductor. Phys. Rev. Lett., 57:1281–1284, 1982.
H. M. Gibbs, A. C. Gossard, S. L. McCall, A Passner, W. Wiegmann, and T. N. C. Venkatesan. Saturation of the free exciton resonance in GaAs. Solid State Commun., 30:271–275, 1979.
Y. H. Lee, A. Chavezpirson, S. W. Koch, H. M. Gibbs, S. H. Park, J. Morhange, A. Jeffery, N. Peyghambarian, L. Banyai, A. C. Gossard, and W. Wiegmann. Room-temperature optical nonlinearities in GaAs. Phys. Rev. Lett., 57:2446–2449, 1986.
V. G. Lysenko and V. I. Revenko. Exciton spectrum in case of high-density non-equilibrium carriers in CdS crystals. Fizika Tverdogo Tela, 20:2144–2147, 1978.
T. B. Norris, J.-K. Rhee, C.-Y. Sung, Y. Arakawa, M. Nishioka, and C. Weisbuch. Time-resolved vacuum rabi oscillations in a semicondcutor quantum microcavity. Phys. Rev. B, 50:14663–14666, 1994.
S. Schmitt-Rink, D. S. Chemla, and D. A. B. Miller. Linear and nonlinear optical properties of semiconductor quantum wells. Adv. Phys., 38:89–188, 1989.
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., 69:3314–3317, 1992.
D. S. Chemla and J. Shah. Many-body and correlation effects in semiconductors. Nature, 411:549–557, 2001.
S. T. Cundiff, M. Koch, W. H. Knox, J. Shah, and W. Stolz. Optical coherence in semiconductors: Strong emission mediated by nondegenerate interactions. Phys. Rev. Lett., 77:1107–1110, 1996.
P. Kner, W. Schäfer, R. Lövenich, and D. S. Chemla. Coherence of four-particle correlations in semiconductors. Phys. Rev. Lett., 81:5386–5389, 1998.
J. Kuhl. Optical dephasing of excitons in iii–v semiconductors. In R. T. Phillips, editor, Coherent Optical Interactions in Semiconductors, pages 1–31. Plenum Press, New York, 1994.
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.
W. Schäfer, D. S. Kim, J. Shah, T. C. Damen, J. E. Cunningham, L. N. Pfeiffer, K. W. Goossen, and K. Köhler. Femtosecond coherent fields induced by many-particle correlations in transient four-wave-mixing. Phys. Rev. B, 53:16429–16443, 1996.
W. Schäfer, R. Lövenich, N. A. Fromer, and D. S. Chemla. From coherently excited highly correlated states to incoherent relaxation processes in semiconductors. Phys. Rev. Lett., 86:344–347, 2001.
L. Schultheis, M. D. Sturge, and J. Hegarty. Photon-echoes from two-dimensional excitons in GaAs–AlGaAs quantum wells. Appl. Phys. Lett., 47:995–997, 1985.
L. Schultheis, J. Kuhl, A. Honold, and C. W. Tu. Ultrafast phase relaxation of excitons via exciton–exciton and exciton–electron collisions. Phys. Rev. Lett., 57:1635–1638, 1986.
A. L. Smirl. The vectorial dynamics of coherent emission from excitons. In K.-T. Tsen, editor, Ultrafast Phenomena in Semiconductors, pages 443–507. Springer Verlag, New York, 2001.
H. Stolz. Time Resolved Light Scattering from Excitons. Springer Verlag, Berlin, 1994.
M. Lindberg and S. W. Koch. Effective Bloch equations for semiconductors. Phys. Rev. B, 38:3342–3350, 1988.
H. Haug and S. Schmitt-Rink. Electron theory of the optical properties of laser excited semiconductors. Prog. Quantum Electron., 9:3–100, 1984.
L. V. Keldysh and Y. V. Kopaev. Possible instability of the semimetal state toward coulomb interaction. Sov. Phys. Solid State, 6:2219–2224, 1965.
C. Klingshirn and H. Haug. Optical properties of highly excited direct gap semiconductors. Phys. Rep., 70:315–410, 1981.
R. J. Elliott. Theory of excitons. In C. G. Kuper and G. D. Whitefield, editors, Polarons and Excitons, pages 269–293. Oliver and Boyd, Edinburgh, 1963.
F. Jahnke, M. Kira, and S. W. Koch. Linear and nonlinear optical properties of quantum confined excitons in semiconductor microcavities. Z. Physik B, 104:559–572, 1997.
S. W. Koch, N. Peyghambarian, and M. Lindberg. Transient and steady-state optical nonlinearities in semiconductors. J. Phys. C: Solid State Phys., 21:5229–5249, 1988.
B. Mieck, H. Haug, W. A. Hügel, M. F. Heinrich, and M. Wegener. Quantum-kinetic dephasing in resonantly excited semiconductor quantum wells. Phys. Rev. B, 62:2686–2695, 2000.
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.
S. Chatterjee, C. Ell, S. Mosor, G. Khitrova, H. M. Gibbs, W. Hoyer, M. Kira, S. W. Koch, J. P. Prineas, and H. Stolz. Excitonic photoluminescence in semiconductor quantum wells: Plasma versus excitons. Phys. Rev. Lett., 92:067402, 2004.
W. W. Chow and S. W. Koch. Semiconductor Laser Fundamentals. Springer Verlag, New York, 1. edition, 1999.
F. Jahnke, M. Kira, S. W. Koch, G. Khitrova, E. K. Lindmark, T. R. Nelson Jr., D. V. Wick, J. D. Berger, O. Lyngnes, H. M. Gibbs, and K. Tai. Excitonic nonlinearities of semiconductor microcavities in the nonperturbative regime. Phys. Rev. Lett., 77:5257–5260, 1996.
W. Hoyer, M. Kira, and S. W. Koch. Influence of bound and unbound electron–hole-pair populations and interaction effects on the excitonic luminescence in semiconductor quantum wells. Cond-Mat, 0604349, 2006.
N. F. Mott. The transition to the metallic state. Philos. Mag., 6:287–309, 1961.
W. W. Chow, S. W. Koch, and M. Sargent III. Semiconductor-Laser Physics. Springer Verlag, Berlin, corrected second printing 1997 edition, 1994.
W. W. Chow, A. F. Wright, A. Girndt, F. Jahnke, and S. W. Koch. Microscopic theory of gain in an inhomogeneously broadened ingan/algan quantum-well laser. Appl. Phys. Lett., 71:2608–2610, 1997.
J. Hader, S. W. Koch, and J. V. Moloney. Microscopic theory of gain and spontaneous emission in GaInNAs laser material. Solid State Electron., 47:513–521, 2003.
J. Hader, J. V. Moloney, S. W. Koch, and W. W. Chow. Microscopic modelling of gain and luminescence in semiconductors. J. Sel. Top. Quant. Electron., 9:688–697, 2003.
C. Ell, P. Brick, M. Hübner, E. S. Lee, O. Lyngnes, J. P. Prineas, G. Khitrova, H. M. Gibbs, M. Kira, F. Jahnke, S. W. Koch, D. G. Deppe, and D. L. Huffaker. Quantum correlations in the nonperturbative regime of semiconductor microcavities. Phys. Rev. Lett., 85:5392–5395,2000.
W. Hoyer, M. Kira, S. W. Koch, H. Stolz, S. Mosor, J. Sweet, C. Ell, G. Khitrova, and H. M. Gibbs. Entanglement between a photon and a quantum well. Phys. Rev. Lett., 93:067401, 2004.
M. Kira, F. Jahnke, and S. W. Koch. Microscopic theory of excitonic signatures in semiconductor photoluminescence. Phys. Rev. Lett., 81:3263–3266, 1998.
M. Kira, F. Jahnke, and S. W. Koch. Quantum theory of secondary emission in optically excited semiconductor quantum wells. Phys. Rev. Lett., 82:3544–3547, 1999.
Y.-S. Lee, T. B. Norris, M. Kira, F. Jahnke, S. W. Koch, G. Khitrova, and H. M. Gibbs. Quantum correlations and intraband coherences in semiconductor cavity QED. Phys. Rev. Lett., 83:5338–5341, 1999.
S. Hoffmann, M. Hofmann, E. Bründermann, M. Havenith, M. Matus, J. V. Moloney, A. S. Moskalenko, M. Kira, S. W. Koch, S. Saito, and K. Sakai. Four-wave mixing and direct terahertz emission with two-color semiconductor lasers. Appl. Phys. Lett., 84:3585–3587, 2004.
S. Hoffmann, M. Hofmann, M. Kira, and S. W. Koch. Two-colour diode lasers for generation of THz radiation. Semicond. Sci. Technol., 20:205–210, 2005.
W. Hoyer, A. Knorr, J. V. Moloney, E. M. Wright, M. Kira, and S. W. Koch. Photoluminescence and terahertz emission from femtosecond laser-induced plasma channels. Phys. Rev. Lett., 94:115004, 2005.
M. Richter, M. Schaarschmidt, A. Knorr, W. Hoyer, J. V. Moloney, E. M. Wright, M. Kira, and S. W. Koch. Quantum theory of incoherent THz-emission of an interacting electron–ion plasma. Phys. Rev. A, 71:053819, 2005.
W. Hoyer, C. Ell, M. Kira, S. W. Koch, S. Chatterjee, S. Mosor, G. Khitrova, H. M. Gibbs, and H. Stolz. Many-body dynamics and exciton formation studied by time-resolved photoluminescence. Phys. Rev. B, 72:075324, 2005.
I. Galbraith, R. Chari, S. Pellegrini, P. J. Phillips, C. J. Dent, A. F. G. van der Meer, D. G. Clarke, A. K. Kar, G. S. Buller, C. R. Pidgeon, B. N. Murdin, J. Allam, and G. Strasser. Excitonic signatures in the photoluminescence and terahertz absorption of a GaAs/Al\(_x\)Ga\(_{1-x}\)As multiple quantum well. Phys. Rev. B, 71:073302, 2005.
M. Kira, F. Jahnke, S. W. Koch, J. D. Berger, D. V. Wick, T. R. Nelson Jr., G. Khitrova, and H. M. Gibbs. Quantum theory of nonlinear semiconductor microcavity luminescence explaining “Boser” experiments. Phys. Rev. Lett., 79:5170–5173, 1997.
G. Khitrova, H. M. Gibbs, F. Jahnke, M. Kira, and S. W. Koch. Nonlinear optics of normal-mode-coupling semiconductor microcavities. Rev. Mod. Phys., 71:1591–1639, 1999.
W. Chow, M. Kira, and S. W. Koch. Microscopic theory of optical nonlinearities and spontaneous emission lifetime in group iii nitride quantum wells. Phys. Rev. B, 60:1947–1952, 1999.
K. Hantke, J. D. Heber, C. Schlichenmaier, A. Thränhardt, T. Meier, B. Kunert, K. Volz, W. Stolz, S. W. Koch, and W. W. Rühle. Time-resolved photoluminescence of type-i and type-ii (GaIn)As/Ga(NAs) heterostructures. Phys. Rev. B, 71:165320, 2005.
R. F. Schnabel, R. Zimmermann, D. Bimberg, H. Nickel, R. Lösch, and W. Schlapp. Influence of exciton localization on recombination line shapes: In\(_{x}\)Ga\(_{1-x}\)As/GaAs quantum wells as a model. Phys. Rev. B, 46:9873–9876, 1992.
J. Szczytko, L. Kappei, J. Berney, F. Morier-Genoud, M. T. Portella-Oberli, and B. Deveaud. Determination of the exciton formation in quantum wells from time-resolved interband luminescence. Phys. Rev. Lett., 93:137401, 2004.
J. Szczytko, L. Kappei, J. Berney, F. Morier-Genoud, M. T. Portella-Oberli, and B. Deveaud. Origin of excitonic luminescence in quantum wells: Direct comparison of the exciton population and coulomb correlated plasma models. Phys. Rev. B, 71:195313, 2005.
G. Chen, N. H. Bonadeo, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, and L. J. Sham. Optically induced entanglement of excitons in a single quantum dot. Science, 289:1906–1909,2000.
X. Q. Li, Y. W. Wu, D. G. Steel, D. Gammon, T. H. Stievater, D. S. Katzer, D. Park, C. Piermarocchi, and L. J. Sham. An all-optical quantum gate in a semiconductor quantum dot. Science, 301:809–811, 2003.
P. Michler, A. Kiraz, C. Becher, W. V. Schoenfeld, P. M. Petroff, L. D. Zhang, E. Hu, and A. Imamoglu. A quantum dot single-photon turnstile device. Science, 290:2282–2285,2000.
W. Hoyer, M. Kira, and S. W. Koch. Quantum-optical effects in semiconductors. Festkörperprobleme (Adv. Solid State Phys.), 42:55, 2002.
V. M. Agranovich and O. A. Dubowskii. Effect of retarded interaction of exciton spectrum in 1-dimensional and 2-dimenstional crystals. JETP Lett., 3:223, 1966.
F. Tassone, F. Bassani, and L. C. Andreani. Quantum-well reflectivity and exciton–polariton dispersion. Phys. Rev. B, 45:6023–6030, 1992.
B. G. Englert, M. O. Scully, and H. Walther. Complementarity and uncertainty. Nature, 375:367–368, 1995.
M. O. Scully, B. G. Englert, and H. Walther. Quantum optical tests of complementarity. Nature, 351:111–116, 1991.
E. P. Storey, S. M. Tan, M. J. Collett, and D. F. Walls. Path detection and the uncertainty principle. Nature, 367:626–628, 1994.
P. Bozsoki, P. Thomas, M. Kira, W. Hoyer, T. Meier, S.W. Koch, K. Maschke, I. Varga, and H. Stolz. Characterization of disorder in semiconductors via single–photon interferometry. Phys. Rev. Lett., accepted, 2006.
J. Cerne, J. Kono, M. S. Sherwin, M. Sundaram, A. C. Gossard, and G. E. W. Bauer. Terahertz dynamics of excitons in GaAs/AlGaAs quantum wells. Phys. Rev. Lett., 77:1131–1134, 1996.
E. M. Gershenzon, G. N. Goltsman, and M. G. Ptitsina. Investigation of free excitons in Ge and their condensation at submillimeter waves. Zhurnal Eksperimentalnoi I Teoreticheskoi Fiziki, 70:224–234, 1976.
R. M. Groeneveld and D. Grischkowsky. Picosecond time-resolved far-infrared experiments on carriers and excitons in GaAs–AlGaAs multiple-quantum wells. J. Opt. Soc. Am. B, 11:2502–2507, 1994.
T. Timusk, R. Navarro, N. O. Lipari, and M. Altarelli. Far-infrared absorption by excitons in silicon. Solid State Commun., 25:217–219, 1978.
M. Kira and S. W. Koch. Exciton-population inversion and terahertz gain in resonantly excited semiconductors. Phys. Rev. Lett., 93:076402, 2004.
M. Kira, W. Hoyer, and S. W. Koch. Microscopic theory of the semiconductor terahertz response. Phys. Stat. Sol. B, 238:443–450, 2003.
M. Kira, W. Hoyer, and S. W. Koch. Terahertz signatures of the exciton formation dynamics in non-resonantly excited semiconductors. Solid State Commun., 129:733–736, 2004.
M. Kira, W. Hoyer, S.W. Koch, Y.-S. Lee, T. B. Norris, G. Khitrova, and H. M. Gibbs. Incoherent pulse generation in semiconductor microcavities. Phys. Stat. Sol. C, 0:1397–1400, 2003.
R. A. Kaindl, M. A. Carnahan, D. Hagele, R. Lovenich, and D. S. Chemla. Ultrafast terahertz probes of transient conducting and insulating phases in an electron-hole gas. Nature, 423:734–738, 2003.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Hoyer, W., Kira, M., Koch, S.W. (2008). Classical and Quantum Optics of Semiconductor Nanostructures. In: Korkin, A., Rosei, F. (eds) Nanoelectronics and Photonics. Nanostructure Science and Technology. Springer, New York, NY. https://doi.org/10.1007/978-0-387-76499-3_10
Download citation
DOI: https://doi.org/10.1007/978-0-387-76499-3_10
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-76498-6
Online ISBN: 978-0-387-76499-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)