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Theoretical derivation and numerical calculation achieve the quantum dot numerically exact multi-photon emission spectra starting from the interaction of quantum dot and cavity,using the master equation that includes incoherent pumping and pure dephasing and combines with the quantum regression theorem, and considering the relevant initial conditions.Then comparing the multi-photon(fermion statistics) spectra with the one-thoton(boson system) correlation level, our analysis shows that according to the fermion statistics the pure dephasing, and the thermal bath model, an excellent fitting to the data is obtained with the recent experimental of Ref[22] results in a quantum dot-micropiller cavity system. The theory and the recent experiments both show pump-induced stimulated emission and anharmonic cavity-QED in quantum dot-cavity systems.
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Keywords:
- quantum dot /
- cavity /
- stimulated-emission /
- emission spectra
[1] Michler P, Kiraz A, Becher C, Schoenfeld W V,Petroff P M, Lidong Zhang, Hu E, Imamoglu A 2000 Science 290 2282
[2] Moreau E, Robert I, Gérard J M, Abram I, Manin L, Thierry-Mieg V 2001 Appl. Phys. Lett. 79 2865
[3] Santori C, Fattal D, Vuckovic J, Solomon G S,Yamamoto Y 2002 Nature 419 594
[4] Ellis D P J 2008 New J. Phys. 10 043035
[5] Johne R, Gippius N A, Pavlovic G, Solnyshkov D D, Shelykh I A, Malpuech G 2008 Phys. Rev. Lett. 100 240404
[6] McKeever J, Boca A, Boozer A D, Miller R, Buck J R,Kuzmich A, Kimble H J 2004 Science 303 1992
[7] Reithmaier J P, Sek G, Loffler A,Hofmann C,Kuhn S, Reitzenstein S,Keldysh LV, Kulakovskii V D, Reinecke T L, Forchel A 2004 Nature 432 197
[8] Yoshie T, Scherer A, Hendrickson J, Khitrova G, Gibbs H. M,Rupper G, Ell C, Shchekin O B, Deppe D G 2004 Nature 432 200
[9] Peter E, Senellart P, Martrou D, Lematre A,Hours J, Gérard J M, Bloch J 2005 Phys. Rev. Lett. 95 067401
[10] Xiang S H,Song K H 2005 Acta Phys.Sin.54 1190(in Chinese)[向少华、宋克慧 2005 54 1190]
[11] Song K H,Guo G C 1999 Acta Phys.Sin.48 0661(in Chinese)[宋克慧、郭光灿1 999 48 0661]
[12] Hennessy K, Badolato A, Winger M, Gerace D, Atature M, Gulde S, Falt S, Hu E L, Imamoglu A 2007 Nature 445 896
[13] Press D, Gotzinger S, Reitzenstein S, Hofmann C, Loffler A, Kamp M, Forche A, Yamamoto Y 2007 Phys. Rev. Lett. 98 117402
[14] Cui G Q, Raymer M G 2006 Phys. Rev. A 73 053807
[15] Auffeves A, Besga B, Gérard J M, Poizat J P 2008 Phys. Rev. A 77 063833
[16] Yamaguchi M, Asano T, Noda S 2008 Opt. Express 16 18067
[17] Naesby A, Suhr T, Kristensen P T, Mrk J 2008 Phys. Rev. A 78 045802
[18] Hughes S, Peijun Y 2009 Opt. Express 17 3322
[19] Keldysh LV 2006 JETP Lett. 84 494
[20] Laussy F P,Valle E D, Tejedor C 2008 Phys. Rev. Lett. 101 083601
[21] Laussy F P, Valle E D, Tejedor C 2009 Phys. Rev. B 79 235325
[22] Münch S, Reitzenstein S, Franeck P, Loffler A, Heinde T, Hofling S, Worschech L, Forchel A 2009 Opt. Express 17 12821
[23] Laucht A, Hauke N, Villas-Boas J M, Hofbauer F, Bohm G, Kaniber M, FinleyJ J2009 Phys. Rev. Lett. 103 087405
[24] Liu S Q,Liu Z D,Li F Q 1991 Acta Phys.Sin. 40 1049 (in Chinese)[刘三秋、刘正东、李佛铨 1991 40 1049]
[25] Cheng G P,Ke S S,Zhang L H,Li G X 2007 Acta Phys.Sin.56 0830(in Chinese)[程桂平、柯莎莎、张立辉、李高翔 2007 物 理学报56 0830] 〖26] Peijun Y,Pathak K,Illes E,Hughes S 2009 arXiv:0909. 5642v3
[26] Carmichael H J 1999 Statistical Methods in Quantum Optics (Springer-Verlag Berlin Heidelberg)
[27] Tian L, Carmichael H J 1992 Quantum Opt. 4 131
[28] Löffler M, Meyer G M, Walther H 1997 Phys. Rev. A 55 3923
[29] Mandel L, Wolf E1995 Optical Cogerence and Quantum Optics(Cambridge University Press,Cambridge,England)
[30] Ridolfo A, Stefano O D, Portolan S, Savasta S 2009 arXiv:0906.1455v1
[31] Reitzenstein S,Münch S,Franeck P,Rahimi I, Löffler A, Höffling L,Worschech L, Forchel A 2009 Phys. Rev. Lett. 103 127401
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[1] Michler P, Kiraz A, Becher C, Schoenfeld W V,Petroff P M, Lidong Zhang, Hu E, Imamoglu A 2000 Science 290 2282
[2] Moreau E, Robert I, Gérard J M, Abram I, Manin L, Thierry-Mieg V 2001 Appl. Phys. Lett. 79 2865
[3] Santori C, Fattal D, Vuckovic J, Solomon G S,Yamamoto Y 2002 Nature 419 594
[4] Ellis D P J 2008 New J. Phys. 10 043035
[5] Johne R, Gippius N A, Pavlovic G, Solnyshkov D D, Shelykh I A, Malpuech G 2008 Phys. Rev. Lett. 100 240404
[6] McKeever J, Boca A, Boozer A D, Miller R, Buck J R,Kuzmich A, Kimble H J 2004 Science 303 1992
[7] Reithmaier J P, Sek G, Loffler A,Hofmann C,Kuhn S, Reitzenstein S,Keldysh LV, Kulakovskii V D, Reinecke T L, Forchel A 2004 Nature 432 197
[8] Yoshie T, Scherer A, Hendrickson J, Khitrova G, Gibbs H. M,Rupper G, Ell C, Shchekin O B, Deppe D G 2004 Nature 432 200
[9] Peter E, Senellart P, Martrou D, Lematre A,Hours J, Gérard J M, Bloch J 2005 Phys. Rev. Lett. 95 067401
[10] Xiang S H,Song K H 2005 Acta Phys.Sin.54 1190(in Chinese)[向少华、宋克慧 2005 54 1190]
[11] Song K H,Guo G C 1999 Acta Phys.Sin.48 0661(in Chinese)[宋克慧、郭光灿1 999 48 0661]
[12] Hennessy K, Badolato A, Winger M, Gerace D, Atature M, Gulde S, Falt S, Hu E L, Imamoglu A 2007 Nature 445 896
[13] Press D, Gotzinger S, Reitzenstein S, Hofmann C, Loffler A, Kamp M, Forche A, Yamamoto Y 2007 Phys. Rev. Lett. 98 117402
[14] Cui G Q, Raymer M G 2006 Phys. Rev. A 73 053807
[15] Auffeves A, Besga B, Gérard J M, Poizat J P 2008 Phys. Rev. A 77 063833
[16] Yamaguchi M, Asano T, Noda S 2008 Opt. Express 16 18067
[17] Naesby A, Suhr T, Kristensen P T, Mrk J 2008 Phys. Rev. A 78 045802
[18] Hughes S, Peijun Y 2009 Opt. Express 17 3322
[19] Keldysh LV 2006 JETP Lett. 84 494
[20] Laussy F P,Valle E D, Tejedor C 2008 Phys. Rev. Lett. 101 083601
[21] Laussy F P, Valle E D, Tejedor C 2009 Phys. Rev. B 79 235325
[22] Münch S, Reitzenstein S, Franeck P, Loffler A, Heinde T, Hofling S, Worschech L, Forchel A 2009 Opt. Express 17 12821
[23] Laucht A, Hauke N, Villas-Boas J M, Hofbauer F, Bohm G, Kaniber M, FinleyJ J2009 Phys. Rev. Lett. 103 087405
[24] Liu S Q,Liu Z D,Li F Q 1991 Acta Phys.Sin. 40 1049 (in Chinese)[刘三秋、刘正东、李佛铨 1991 40 1049]
[25] Cheng G P,Ke S S,Zhang L H,Li G X 2007 Acta Phys.Sin.56 0830(in Chinese)[程桂平、柯莎莎、张立辉、李高翔 2007 物 理学报56 0830] 〖26] Peijun Y,Pathak K,Illes E,Hughes S 2009 arXiv:0909. 5642v3
[26] Carmichael H J 1999 Statistical Methods in Quantum Optics (Springer-Verlag Berlin Heidelberg)
[27] Tian L, Carmichael H J 1992 Quantum Opt. 4 131
[28] Löffler M, Meyer G M, Walther H 1997 Phys. Rev. A 55 3923
[29] Mandel L, Wolf E1995 Optical Cogerence and Quantum Optics(Cambridge University Press,Cambridge,England)
[30] Ridolfo A, Stefano O D, Portolan S, Savasta S 2009 arXiv:0906.1455v1
[31] Reitzenstein S,Münch S,Franeck P,Rahimi I, Löffler A, Höffling L,Worschech L, Forchel A 2009 Phys. Rev. Lett. 103 127401
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