Characteristics of spontaneous emission from a two-level atom in a very high Q cavity

Chen Xiang; Mi Xian-Wu

doi:10.7498/aps.60.104204

Abstract

In this paper we investigate a coupled system of an initially excited two-level atom coupled to a monomode cavity,and compute spontaneous emission spectrum and mean population density emitted by the atom and the cavity using the quantum theory that accounts for theoretical derviation and numerical calculation.The spectra emitted separately by the atom and the cavity in of strong coupling region are dramatically different from those in weak coupling region at resonance.The cavity spectrum line splitting in the strong coupling region,however,a hole exists in the atomic spectrum in the weak coupling region.We study systematically the emission spectra when the atom and the cavity are detuned,and the results show that if the cavity linewidth is much smaller than the atomic linewidth(good cavity regime),photons are emitted at the cavity frequency even if the atom and the cavity are strongly detuned,and provide theoretic foundation for the apparently puzzling feature observed in the recent experiment.In this paper we computate the atomic and the cavity mean population densities each as a function of time and their relation to the luminous intensity, and offer a new insight into civity induced transparency effect.

Keywords:

Authors and contacts

1.
College of Physics Science and Information Engineering Ji Shou University, Jishou 416000, China

References

[1]	Purcell E M 1946 Phys.Rev.69 681
[2]	Zhang J 2008 Ph.D. Thesis(Shanxi University) (in Chinese) [张静 2008 博士学位论文(山西大学)]
[3]
[4]
[5]	Feher G,Gordon J P,Buehler E,Gere E A,Thurmond C D 1958 Phys.Rev. 109 221
[6]	Drexhage K H 1974 Progress in Optics XII (New York:Morth-Holland)
[7]
[8]	Thompson R J, Rempe G,Kimble H J 1992 Phys.Rev.Lett.68 1132
[9]
[10]
[11]	Boca A,Miller R,Birnbaum K M,Boozer A D,McKeever J,Kimble H J 2004 Phys.Rev.Lett.93 233603
[12]	Maunz P,Puppe T,Schuster I,Syassen N,Pinkse P W H, Rempe G 2005 Phys.Rev.Lett.94 033002
[13]
[14]	Auffeves A,Besga B,Grard J M,Poizat J P 2008 Phys.Rev.A 77 063833
[15]
[16]	Meschede D,Walther H,Mller G 1985 Phys.Rev.Lett.54 551
[17]
[18]
[19]	Rempe G,Klein N,Walther H 1987 Phys.Rev.Lett.58 353
[20]
[21]	Rempe G,Kaler F S,Walther H1990 Phys.Rev.Lett.64 2783
[22]
[23]	Brune M,Raimond J M,Goy P,Davidovich L,Haroche S 1987 Phys.Rev.Lett.59 1899
[24]	Bernardot F,Nussenzveig D,Brune M,Raimond J M,Haroche S 1992 Europhys.Lett.17 33
[25]
[26]
[27]	Reithmaier J P,Sek G,Loffler A,Hofmann C,Kuhn S,Reitzenstein S, Keldysh L V,Kulakovskii V D,Reinecke T L,Forchel A 2004 Nature 432 197
[28]	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
[29]
[30]
[31]	Peter E,Senellart P,Martrou D,Lematre A,Hours J,Grard J M,Bloch J 2005 Phys.Rev.Lett.2005 95 067401
[32]	Hennessy K,Badolato A,Winger M,Gerace D,Atature M,Gulde S,Falt S, Hu E L, Imamoglu A 2007 Nature 445 896
[33]
[34]	Press D,Gotzinger S,Reitzenstein S,Hofmann C,Loffler A,Kamp M, Forche A,Yamamoto Y 2007 Phys.Rev.Lett.98 117402
[35]
[36]
[37]	Englund D,Faraon A,Fushman I,Stoltz N,Petroff P,Vuckovic J 2007 Nature 450 06234
[38]	Braginsky V B,Khalili F Y,Thorne K S 1992 Quantum Measurement (Cambridge: Cambridge Universty)
[39]
[40]
[41]	Pellizzari T,Gardiner S A,Cirac J I,Zoller P 1995 Phys.Rev.Lett.75 3788
[42]
[43]	Turchette Q A,Hood C J,Lange W,Mabuchi H,Kimble H J 1995 Phys.Rev. Lett.75 4710
[44]
[45]	Parkins A S,Marte P,Zoller P, Kimble H J 1993 Phys.Rev.Lett.71 3095
[46]
[47]	Law C K,Kimble H J 1997 J. Mod.Opt.44 2067
[48]
[49]	Cirac J I,Zoller P,Kimble H J,Mabuchi H 1997 Phys.Rev.Lett. 78 3221
[50]
[51]	Van Enk S J,Cirac J I,Zoller P,Mabuchi H, Kimble H J 1997 J. Mod.Opt. 44 1727
[52]
[53]	Boozer A D,Boca A,Miller R,Northup T E,Kimble H J 2007 Phys.Rev.Lett. 98 193601
[54]
[55]	Puppe T,Schuster I,Grothe A,Kubanek A,Murr K,Pinkse P W H,Rempe G 2007 Phys.Rev.Lett.99 013002
[56]
[57]	Wilk T,Webster S C,Kuhn A,Rempe G 2007 Science 317 488
[58]	Wilk T,Webster S C,Specht H P,Rempe G,Kuhn A 2007 Phys.Rev.Lett.98 063601
[59]
[60]	Gleyzes S, Kuhr S, Guerlin C,Bernu J,Deloglise S, Hoff U B, Brune M, Raimond J M,Haroche S 2007 Nature 446 297
[61]
[62]
[63]	Sandoghdar V,Treussart F,Hare J,Seguin V L,Raimond J M,Haroche S 1996 Phys.Rev. A 54 1777
[64]
[65]	Armani D K,Kippenberg T J,Spillane S M,Vahala K J 2003 Nature 421 925
[66]
[67]	Reitzenstein S,Hofmann C,Gorbunov A,Strauss M,Kwon S H, Schneider C, Lffler A, Hffling S,Kamp M,Forchel A 2007 Appl.Phys.Lett.90 251109
[68]	Srivanasan K,Borselli M,Johnson T J,Barclay P E,Painter O,Stintz A,Krishna S 2004 Appl.Phys.Lett.85 3693
[69]
[70]
[71]	Weidner E,Combrie S,Rossi A D,Tran N V Q,Cassette S 2007 Appl.Phys.Lett.90 101118
[72]
[73]	Mondragon J J S,Narozhny N B,Eberly J H 1983 Phys.Rev.Lett.51 550
[74]	Agarwal G S,Puri R R 1986 Phys.Rev.A 33 1757
[75]
[76]
[77]	Carmichael H J,Brecha R J,Raizen M G,Kimble H J,Rice P R 1989 Phys. Rev.A 40 5516
[78]	Rice P R,Brecha R J 1996 Optics Communications 126 230
[79]
[80]	Hechenblaikner G,Gangl M,Horak P,Ritsch H 1998 Phys.Rev. A 58 3030
[81]
[82]	Zippilli S,Morigi G 2005 Phys.Rev.Lett.95 143001
[83]
[84]
[85]	Bienert M,Torres J M,Zippilli S,Morigi G 2007 Phys.Rev.A 76 013410
[86]	Wang L,Song H Z 2006 Acta Phys.Sin.55 830(in Chinese)[王丽、宋海珍 2006 55 830]
[87]
[88]	Garnier A A,Simon C,Gerard J M,Poizat J P 2007 Phys.Rev.A 75 053823
[89]
[90]
[91]	Daniel J M, Joel M H 1986 Phys.Rev.A 34 124829
[92]
[93]	Li T C,Xu Z Y 1978 Acta Phys.Sin. 27 175(in Chinese)[李铁诚、许政一 1978 27 175]
[94]
[95]	Laussy F P, Valle E D, Tejedor C 2009 Phys.Rev. B 79 235325
[96]	Laussy F P,Valle E D, Tejedor C 2008 Phys.Rev.Lett. 101 083601
[97]

Cited By

[1]	Purcell E M 1946 Phys.Rev.69 681
[2]	Zhang J 2008 Ph.D. Thesis(Shanxi University) (in Chinese) [张静 2008 博士学位论文(山西大学)]
[3]
[4]
[5]	Feher G,Gordon J P,Buehler E,Gere E A,Thurmond C D 1958 Phys.Rev. 109 221
[6]	Drexhage K H 1974 Progress in Optics XII (New York:Morth-Holland)
[7]
[8]	Thompson R J, Rempe G,Kimble H J 1992 Phys.Rev.Lett.68 1132
[9]
[10]
[11]	Boca A,Miller R,Birnbaum K M,Boozer A D,McKeever J,Kimble H J 2004 Phys.Rev.Lett.93 233603
[12]	Maunz P,Puppe T,Schuster I,Syassen N,Pinkse P W H, Rempe G 2005 Phys.Rev.Lett.94 033002
[13]
[14]	Auffeves A,Besga B,Grard J M,Poizat J P 2008 Phys.Rev.A 77 063833
[15]
[16]	Meschede D,Walther H,Mller G 1985 Phys.Rev.Lett.54 551
[17]
[18]
[19]	Rempe G,Klein N,Walther H 1987 Phys.Rev.Lett.58 353
[20]
[21]	Rempe G,Kaler F S,Walther H1990 Phys.Rev.Lett.64 2783
[22]
[23]	Brune M,Raimond J M,Goy P,Davidovich L,Haroche S 1987 Phys.Rev.Lett.59 1899
[24]	Bernardot F,Nussenzveig D,Brune M,Raimond J M,Haroche S 1992 Europhys.Lett.17 33
[25]
[26]
[27]	Reithmaier J P,Sek G,Loffler A,Hofmann C,Kuhn S,Reitzenstein S, Keldysh L V,Kulakovskii V D,Reinecke T L,Forchel A 2004 Nature 432 197
[28]	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
[29]
[30]
[31]	Peter E,Senellart P,Martrou D,Lematre A,Hours J,Grard J M,Bloch J 2005 Phys.Rev.Lett.2005 95 067401
[32]	Hennessy K,Badolato A,Winger M,Gerace D,Atature M,Gulde S,Falt S, Hu E L, Imamoglu A 2007 Nature 445 896
[33]
[34]	Press D,Gotzinger S,Reitzenstein S,Hofmann C,Loffler A,Kamp M, Forche A,Yamamoto Y 2007 Phys.Rev.Lett.98 117402
[35]
[36]
[37]	Englund D,Faraon A,Fushman I,Stoltz N,Petroff P,Vuckovic J 2007 Nature 450 06234
[38]	Braginsky V B,Khalili F Y,Thorne K S 1992 Quantum Measurement (Cambridge: Cambridge Universty)
[39]
[40]
[41]	Pellizzari T,Gardiner S A,Cirac J I,Zoller P 1995 Phys.Rev.Lett.75 3788
[42]
[43]	Turchette Q A,Hood C J,Lange W,Mabuchi H,Kimble H J 1995 Phys.Rev. Lett.75 4710
[44]
[45]	Parkins A S,Marte P,Zoller P, Kimble H J 1993 Phys.Rev.Lett.71 3095
[46]
[47]	Law C K,Kimble H J 1997 J. Mod.Opt.44 2067
[48]
[49]	Cirac J I,Zoller P,Kimble H J,Mabuchi H 1997 Phys.Rev.Lett. 78 3221
[50]
[51]	Van Enk S J,Cirac J I,Zoller P,Mabuchi H, Kimble H J 1997 J. Mod.Opt. 44 1727
[52]
[53]	Boozer A D,Boca A,Miller R,Northup T E,Kimble H J 2007 Phys.Rev.Lett. 98 193601
[54]
[55]	Puppe T,Schuster I,Grothe A,Kubanek A,Murr K,Pinkse P W H,Rempe G 2007 Phys.Rev.Lett.99 013002
[56]
[57]	Wilk T,Webster S C,Kuhn A,Rempe G 2007 Science 317 488
[58]	Wilk T,Webster S C,Specht H P,Rempe G,Kuhn A 2007 Phys.Rev.Lett.98 063601
[59]
[60]	Gleyzes S, Kuhr S, Guerlin C,Bernu J,Deloglise S, Hoff U B, Brune M, Raimond J M,Haroche S 2007 Nature 446 297
[61]
[62]
[63]	Sandoghdar V,Treussart F,Hare J,Seguin V L,Raimond J M,Haroche S 1996 Phys.Rev. A 54 1777
[64]
[65]	Armani D K,Kippenberg T J,Spillane S M,Vahala K J 2003 Nature 421 925
[66]
[67]	Reitzenstein S,Hofmann C,Gorbunov A,Strauss M,Kwon S H, Schneider C, Lffler A, Hffling S,Kamp M,Forchel A 2007 Appl.Phys.Lett.90 251109
[68]	Srivanasan K,Borselli M,Johnson T J,Barclay P E,Painter O,Stintz A,Krishna S 2004 Appl.Phys.Lett.85 3693
[69]
[70]
[71]	Weidner E,Combrie S,Rossi A D,Tran N V Q,Cassette S 2007 Appl.Phys.Lett.90 101118
[72]
[73]	Mondragon J J S,Narozhny N B,Eberly J H 1983 Phys.Rev.Lett.51 550
[74]	Agarwal G S,Puri R R 1986 Phys.Rev.A 33 1757
[75]
[76]
[77]	Carmichael H J,Brecha R J,Raizen M G,Kimble H J,Rice P R 1989 Phys. Rev.A 40 5516
[78]	Rice P R,Brecha R J 1996 Optics Communications 126 230
[79]
[80]	Hechenblaikner G,Gangl M,Horak P,Ritsch H 1998 Phys.Rev. A 58 3030
[81]
[82]	Zippilli S,Morigi G 2005 Phys.Rev.Lett.95 143001
[83]
[84]
[85]	Bienert M,Torres J M,Zippilli S,Morigi G 2007 Phys.Rev.A 76 013410
[86]	Wang L,Song H Z 2006 Acta Phys.Sin.55 830(in Chinese)[王丽、宋海珍 2006 55 830]
[87]
[88]	Garnier A A,Simon C,Gerard J M,Poizat J P 2007 Phys.Rev.A 75 053823
[89]
[90]
[91]	Daniel J M, Joel M H 1986 Phys.Rev.A 34 124829
[92]
[93]	Li T C,Xu Z Y 1978 Acta Phys.Sin. 27 175(in Chinese)[李铁诚、许政一 1978 27 175]
[94]
[95]	Laussy F P, Valle E D, Tejedor C 2009 Phys.Rev. B 79 235325
[96]	Laussy F P,Valle E D, Tejedor C 2008 Phys.Rev.Lett. 101 083601
[97]

[1]	Li Yuan-Fang, Jiang Yuan, Zhao Lei. Weak pulse signal detection method based on improved strongly coupled oscillators. Acta Physica Sinica, 2024, 73(4): 040503. doi: 10.7498/aps.73.20231343
[2]	Yan Wei-Zhi, Fan Qing, Yang Peng-Fei, Li Gang, Zhang Peng-Fei, Zhang Tian-Cai. Trapping of single atom and precise control of its coupling strength in micro-optical cavity. Acta Physica Sinica, 2023, 72(11): 114202. doi: 10.7498/aps.72.20222220
[3]	Zhao Shi-Hang, Zhang Yuan, Lü Si-Yuan, Cheng Shao-Bo, Zheng Chang-Lin, Wang Lu-Xia. Numerical simulation of strong coupling between silver nanorod and dielectric layer detected by electron energy loss spectrum. Acta Physica Sinica, 2022, 71(14): 147302. doi: 10.7498/aps.71.20220194
[4]	Yan Xiao-Hong, Niu Yi-Jie, Xu Hong-Xing, Wei Hong. Strong coupling of single plasmonic nanoparticles and nanogaps with quantum emitters. Acta Physica Sinica, 2022, 71(6): 067301. doi: 10.7498/aps.71.20211900
[5]	Su Yu-Feng, Peng Jin-Zhang, Yang Hong, Huang Yong-Gang. Effect of surface modification of metallic nanorod on spontaneous emission enhancement. Acta Physica Sinica, 2022, 71(16): 166802. doi: 10.7498/aps.71.20220439
[6]	Zhang Meng-Lai, Qin Zhao-Fu, Chen Zhuo. Conditions for surface lattice resonances and enhancement of second harmonic generation based on split-ring resonators. Acta Physica Sinica, 2021, 70(5): 054206. doi: 10.7498/aps.70.20201424
[7]	Guo Qi-Qi, Chen Yi-Hang. Enhanced nonlinear optical effects based on strong coupling between epsilon-near-zero mode and gap surface plasmons. Acta Physica Sinica, 2021, 70(18): 187303. doi: 10.7498/aps.70.20210290
[8]	Wu Han, Wu Jing-Yu, Chen Zhuo. Strong coupling between metasurface based Tamm plasmon microcavity and exciton. Acta Physica Sinica, 2020, 69(1): 010201. doi: 10.7498/aps.69.20191225
[9]	Duan Xue-Ke, Ren Juan-Juan, Hao He, Zhang Qi, Gong Qi-Huang, Gu Ying. Interactions between photons and excitons in micro-nano photonic structures. Acta Physica Sinica, 2019, 68(14): 144201. doi: 10.7498/aps.68.20190269
[10]	Wang Jian-Yuan, Lin Guang-Yang, Wang Jia-Qi, Li Cheng. Simulation of spontaneous emission spectrum of degenerate Ge under large injection level. Acta Physica Sinica, 2017, 66(15): 156102. doi: 10.7498/aps.66.156102
[11]	Xing Rong, Xie Shuang-Yuan, Xu Jing-Ping, Yang Ya-Ping. Spontaneous emission from a V-type three-level atom in a dynamic photonic crystal. Acta Physica Sinica, 2017, 66(1): 014202. doi: 10.7498/aps.66.014202
[12]	Zhao Ze-Yu, Liu Jin-Qiao, Li Ai-Wu, Xu Ying. Strong coupling between J-aggregates and surface plasmon polaritons in gold nanodisks arrays. Acta Physica Sinica, 2016, 65(23): 231101. doi: 10.7498/aps.65.231101
[13]	Qin Li, Li Ze-Ya, Xu Jing-Ping, Zhang Li-Wei, Yang Ya-Ping. Spontaneous emission field excited by an atom near the μ-negative metamaterials slab. Acta Physica Sinica, 2015, 64(1): 014206. doi: 10.7498/aps.64.014206
[14]	Xing Rong, Xie Shuang-Yuan, Xu Jing-Ping, Yang Ya-Ping. Spontaneous emission from a two-level atom in a dynamic photonic crystal with an isotropic disoersion relation. Acta Physica Sinica, 2014, 63(9): 094205. doi: 10.7498/aps.63.094205
[15]	Zhang Qin, Jin Kang, Tang Yuan-He, Qu Guang-Hui. The radiation pressure and laser cooling of a V-type three level atom. Acta Physica Sinica, 2011, 60(5): 053204. doi: 10.7498/aps.60.053204
[16]	Huang Xian-Shan, Liu Hai-Lian. The use of dynamic cavity environment to achieve controlling of the process of spontaneous emission of an atom. Acta Physica Sinica, 2011, 60(3): 034205. doi: 10.7498/aps.60.034205
[17]	Tan Rong, Li Gao-Xiang. Spontaneous emission properties of a two-level atom with an intense low-frequency field in a three-dimensional photonic crystal. Acta Physica Sinica, 2005, 54(5): 2059-2065. doi: 10.7498/aps.54.2059
[18]	Liu Xiao-Dong, Wang Yi-Quan, Xu Xing-Sheng, Cheng Bing-Ying, Zhang Dao-Zhong. Enhancement and suppression of the spontaneous emission of a two-level atom in a photonic crystal with a state-conservative photonic pseudogap. Acta Physica Sinica, 2004, 53(1): 125-131. doi: 10.7498/aps.53.125
[19]	Liu Zheng-Dong, Wu Qiang. Electromagnetically induced transparency in a four-level atomic system driven by three coupled fields. Acta Physica Sinica, 2004, 53(9): 2970-2973. doi: 10.7498/aps.53.2970
[20]	Chen San, Xie Shang-Yuan, Yang Ya-Ping, Chen Hong. Spontaneous emission from a two-level atom embedded in two-band three-dimensional photonic crystals. Acta Physica Sinica, 2003, 52(4): 853-858. doi: 10.7498/aps.52.853

Catalog

Vol. 60, Issue 10 - 2011-05-20

Metrics

Abstract views: 10310
PDF Downloads: 1251
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板