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Excitonic dynamic equations, which are derived from the quasi-Boson approach, are useful tools in investigating the ultrafast optical responses of semiconductor nanostructures. To apply these equations to the exciton dynamics in semiconductor quantum wells, we need exciton wavefunctions and their representations in momentum space to obtain the coefficients in the excitonic dynamic equations. By discussing in detail the exciton wavefunctions and their momentum-space representations, we present a method of obtaining the essential coefficients in the excitonic dynamic equations. We finally use these coefficients to understand the nonlinear effects in the terahertz-pulse-induced intraexcitonic transitions caused by high exciton densities. The obtained theoretical results are in good agreement with recent experimental results.
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Keywords:
- quantum wells /
- exciton wavefunction /
- excitonic coefficient
[1] Laughlin R B 1983 Phys. Rev. Lett. 50 1395
[2] Tsekoun A, Go R, Pushkarsky M, Razeghi M, Patel C K N 2006Proc. Natl. Acad. Sci. U. S. A. 103 4831
[3] Wang D W, Zhang A, Yang L, Dignam M M 2008 Phys. Rev. B77 115307
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[5] Zang H, Liu L, Liu J J 2007 Acta Phys. Sin. 56 487 (in Chinese) [张 红, 刘 磊, 刘建军 2007 56 487]
[6] Li M, Mi X W 2009 Chin. Phys. B 18 5534
[7] Wang D W, Lei X L, Wu Z X 2011 J. Phys. Condens. Matter 23345801
[8] Ji Z W, Lu Y, Chen J X, Mino H, Akimoto R, Takeyama S 2008Acta Phys. Sin. 57 1214 (in Chinese) [冀子武, 鲁云, 陈锦祥, 三野弘文, 秋本良一, 山正二郎 2008 57 1214]
[9] Jauho A, Johnsen K 1996 Phys. Rev. Lett. 76 4576
[10] ćerne J, Kono J, Inoshita T, Sherwin M, Sundaram M, Gossard C1997 Appl. Phys. Lett. 70 3543
[11] Kono J, Su M, Inoshita T, Noda T, Sherwin M, Allen Jr S, SakakiH 1997 Phys. Rev. Lett. 79 1758
[12] Phillips C, Su M Y, Sherwin M S, Ko J, Coldren L 1999 Appl.Phys. Lett. 75 2728
[13] Amo A, Lefrère J, Pigeon S, Adrados C, Ciuti C, Carusotto I,Houdr R, Giacobino E, Bramati A 2009 Nat. Phys. 5 805
[14] Amo A, Sanvitto D, Laussy F P, Ballarini, Valle E D, Martin M D,Lema?Itre A, Bloch J, Krizhanovskii D N, Skolnick M S, TejedorC, Vi L A 2009 Nature 457 291
[15] Haug H, Koch SW1990 Quantum Theory of the Optical and ElectronicProperties of Semiconductors (Singapore: World Scientific)
[16] Mi X W 2004 J. Appl. Phys. 95 1191
[17] Wang D W, Hawton M, Dignam M M 2007 Phys. Rev. B 76115311
[18] de Leon B S, Laikhtman B 2001 Phys. Rev. B 63 125306
[19] Betbeder-Matibet O, Combescot M 2002 Eur. Phys. J. B 27 505
[20] Lloyd-Hughes J, Beere H E, Ritchie D A, Johnston M B 2008Phys. Rev. B 77 125322
[21] Johnsen K, Kavoulakis G M 2001 Phys. Rev. Lett. 86 858
[22] Kaindl R A, Carnahan M A, Hagele D, Lovenich R, Chemla D S2003 Nature 423 734
[23] Cao J C 2003 Phys. Rev. Lett. 91 237401
[24] Huber R, Kaindl R A, Schmid B A, Chemla D S 2005 Phys. Rev.B 72 161314
[25] Combescot M, Betbeder-Matibet O 2003 Europhys. Lett. 62 140
[26] Usui T 1960 Prog. Theor. Phys. 23 787
[27] Utsunomiya S, Tian L, Roumpos G, Lai G W, Kumada N, FujisawaT, Kuwata-Gonokami M, Yamamoto Y 2008 Nat. Phys. 4700
[28] Parfitt D G W, Portnoi M E 2002 J. Math. Phys. 43 4681
[29] Dignam M M, Sipe J E 1990 Phys. Rev. B 41 2865
[30] Yang L, Rosam B, Lachaine JM, Leo K, Dignam MM2004 Phys.Rev. B 69 65310
[31] Wang D W, Dignam M M 2009 Phys. Rev. B 79 165320
[32] Wang D W 2008 Ph. D. Dissertation (Queen's University atKingston)
[33] Peyghambarian N, Gibbs H M, Jewell J L, Antonetti A, Migus A,Hulin D, Mysyrowicz A 1984 Phys. Rev. Lett. 53 2433
[34] Schmitt-Rink S, Chemla D S, Miller D A B 1985 Phys. Rev. B 326601
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[1] Laughlin R B 1983 Phys. Rev. Lett. 50 1395
[2] Tsekoun A, Go R, Pushkarsky M, Razeghi M, Patel C K N 2006Proc. Natl. Acad. Sci. U. S. A. 103 4831
[3] Wang D W, Zhang A, Yang L, Dignam M M 2008 Phys. Rev. B77 115307
[4] Gan Z Z, Yang G Z 1982 Acta Phys. Sin. 31 237 (in Chinese) [甘子钊, 杨国桢 1982 31 237]
[5] Zang H, Liu L, Liu J J 2007 Acta Phys. Sin. 56 487 (in Chinese) [张 红, 刘 磊, 刘建军 2007 56 487]
[6] Li M, Mi X W 2009 Chin. Phys. B 18 5534
[7] Wang D W, Lei X L, Wu Z X 2011 J. Phys. Condens. Matter 23345801
[8] Ji Z W, Lu Y, Chen J X, Mino H, Akimoto R, Takeyama S 2008Acta Phys. Sin. 57 1214 (in Chinese) [冀子武, 鲁云, 陈锦祥, 三野弘文, 秋本良一, 山正二郎 2008 57 1214]
[9] Jauho A, Johnsen K 1996 Phys. Rev. Lett. 76 4576
[10] ćerne J, Kono J, Inoshita T, Sherwin M, Sundaram M, Gossard C1997 Appl. Phys. Lett. 70 3543
[11] Kono J, Su M, Inoshita T, Noda T, Sherwin M, Allen Jr S, SakakiH 1997 Phys. Rev. Lett. 79 1758
[12] Phillips C, Su M Y, Sherwin M S, Ko J, Coldren L 1999 Appl.Phys. Lett. 75 2728
[13] Amo A, Lefrère J, Pigeon S, Adrados C, Ciuti C, Carusotto I,Houdr R, Giacobino E, Bramati A 2009 Nat. Phys. 5 805
[14] Amo A, Sanvitto D, Laussy F P, Ballarini, Valle E D, Martin M D,Lema?Itre A, Bloch J, Krizhanovskii D N, Skolnick M S, TejedorC, Vi L A 2009 Nature 457 291
[15] Haug H, Koch SW1990 Quantum Theory of the Optical and ElectronicProperties of Semiconductors (Singapore: World Scientific)
[16] Mi X W 2004 J. Appl. Phys. 95 1191
[17] Wang D W, Hawton M, Dignam M M 2007 Phys. Rev. B 76115311
[18] de Leon B S, Laikhtman B 2001 Phys. Rev. B 63 125306
[19] Betbeder-Matibet O, Combescot M 2002 Eur. Phys. J. B 27 505
[20] Lloyd-Hughes J, Beere H E, Ritchie D A, Johnston M B 2008Phys. Rev. B 77 125322
[21] Johnsen K, Kavoulakis G M 2001 Phys. Rev. Lett. 86 858
[22] Kaindl R A, Carnahan M A, Hagele D, Lovenich R, Chemla D S2003 Nature 423 734
[23] Cao J C 2003 Phys. Rev. Lett. 91 237401
[24] Huber R, Kaindl R A, Schmid B A, Chemla D S 2005 Phys. Rev.B 72 161314
[25] Combescot M, Betbeder-Matibet O 2003 Europhys. Lett. 62 140
[26] Usui T 1960 Prog. Theor. Phys. 23 787
[27] Utsunomiya S, Tian L, Roumpos G, Lai G W, Kumada N, FujisawaT, Kuwata-Gonokami M, Yamamoto Y 2008 Nat. Phys. 4700
[28] Parfitt D G W, Portnoi M E 2002 J. Math. Phys. 43 4681
[29] Dignam M M, Sipe J E 1990 Phys. Rev. B 41 2865
[30] Yang L, Rosam B, Lachaine JM, Leo K, Dignam MM2004 Phys.Rev. B 69 65310
[31] Wang D W, Dignam M M 2009 Phys. Rev. B 79 165320
[32] Wang D W 2008 Ph. D. Dissertation (Queen's University atKingston)
[33] Peyghambarian N, Gibbs H M, Jewell J L, Antonetti A, Migus A,Hulin D, Mysyrowicz A 1984 Phys. Rev. Lett. 53 2433
[34] Schmitt-Rink S, Chemla D S, Miller D A B 1985 Phys. Rev. B 326601
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