二能级原子与高品质因子腔的自发辐射特性

陈翔; 米贤武

doi:10.7498/aps.60.104204

摘要

用全量子理论研究二能级原子单模腔耦合系统,通过理论推导和数值计算得出系统的自发辐射光谱和平均粒子数密度.共振时腔与原子的发射光谱在强耦合与弱耦合区域有所不同,腔发射光谱分裂只出现于强耦合区域,而原子发射光谱由于腔感应透明效应在弱耦合区域出现了缺口.本文系统地研究了原子与腔在失谐时的发射光谱,在好腔机理(腔线宽小于原子线宽g)原子与腔即使在大失谐时腔发射出腔频率的光子,这给当前实验上困惑的特性提供了一个理论依据.为了给腔感应透明效应一个新的深入了解,还研究了原子与腔平均粒子数密度随时间的演化,以及平均粒子数密度与光强度之间的关系.

关键词:

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:

作者及机构信息

陈翔,
米贤武

1.
吉首大学物理科学与信息工程学院,吉首 416000

基金项目: 国家自然科学基金(批准号:10647132)和湖南省教育厅科研项目(批准号:10A100)资助的课题.

Authors and contacts

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

参考文献

[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]

施引文献

[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]	李远芳, 姜园, 赵磊. 基于改进强耦合振子的微弱脉冲信号检测方法. , 2024, 73(4): 040503. doi: 10.7498/aps.73.20231343
[2]	闫玮植, 范青, 杨鹏飞, 李刚, 张鹏飞, 张天才. 微光学腔内单原子的俘获及其耦合强度的精确调控. , 2023, 72(11): 114202. doi: 10.7498/aps.72.20222220
[3]	赵世杭, 张元, 吕思远, 程少博, 郑长林, 王鹿霞. 电子能量损失谱探测银纳米棒与介质层强耦合的数值模拟. , 2022, 71(14): 147302. doi: 10.7498/aps.71.20220194
[4]	闫晓宏, 牛亦杰, 徐红星, 魏红. 单个等离激元纳米颗粒和纳米间隙结构与量子发光体的强耦合. , 2022, 71(6): 067301. doi: 10.7498/aps.71.20211900
[5]	苏玉凤, 彭金璋, 杨红, 黄勇刚. 金属纳米柱的端面修饰对自发辐射增强特性的影响. , 2022, 71(16): 166802. doi: 10.7498/aps.71.20220439
[6]	张萌徕, 覃赵福, 陈卓. 基于开口环阵列结构的表面晶格共振产生及二次谐波增强. , 2021, 70(5): 054206. doi: 10.7498/aps.70.20201424
[7]	郭绮琪, 陈溢杭. 基于介电常数近零模式与间隙表面等离激元强耦合的增强非线性光学效应. , 2021, 70(18): 187303. doi: 10.7498/aps.70.20210290
[8]	吴晗, 吴竞宇, 陈卓. 基于超表面的Tamm等离激元与激子的强耦合作用. , 2020, 69(1): 010201. doi: 10.7498/aps.69.20191225
[9]	段雪珂, 任娟娟, 郝赫, 张淇, 龚旗煌, 古英. 微纳光子结构中光子和激子相互作用. , 2019, 68(14): 144201. doi: 10.7498/aps.68.20190269
[10]	汪建元, 林光杨, 王佳琪, 李成. 简并态锗在大注入下的自发辐射谱模拟. , 2017, 66(15): 156102. doi: 10.7498/aps.66.156102
[11]	邢容, 谢双媛, 许静平, 羊亚平. 动态光子晶体中V型三能级原子的自发辐射. , 2017, 66(1): 014202. doi: 10.7498/aps.66.014202
[12]	赵泽宇, 刘晋侨, 李爱武, 徐颖. 金纳米柱阵列表面等离子体激元与J-聚集分子强耦合作用. , 2016, 65(23): 231101. doi: 10.7498/aps.65.231101
[13]	秦黎, 李泽亚, 许静平, 张利伟, 羊亚平. 磁单负材料板附近的原子的自发辐射场分布. , 2015, 64(1): 014206. doi: 10.7498/aps.64.014206
[14]	邢容, 谢双媛, 许静平, 羊亚平. 动态各向同性光子晶体中二能级原子的自发辐射. , 2014, 63(9): 094205. doi: 10.7498/aps.63.094205
[15]	张琴, 金康, 唐远河, 屈光辉. V形三能级原子的辐射压力和激光冷却. , 2011, 60(5): 053204. doi: 10.7498/aps.60.053204
[16]	黄仙山, 刘海莲. 运用动态腔环境实现对原子自发辐射过程的调控. , 2011, 60(3): 034205. doi: 10.7498/aps.60.034205
[17]	谭荣, 李高翔. 低频强场作用下三维光子晶体中二能级原子的自发辐射性质. , 2005, 54(5): 2059-2065. doi: 10.7498/aps.54.2059
[18]	刘晓东, 王义全, 许兴胜, 程丙英, 张道中. 具有态守恒赝隙的光子晶体中两能级原子自发辐射的增强与抑制. , 2004, 53(1): 125-131. doi: 10.7498/aps.53.125
[19]	刘正东, 武　强. 被三个耦合场驱动的四能级原子的电磁感应透明. , 2004, 53(9): 2970-2973. doi: 10.7498/aps.53.2970
[20]	陈三, 谢双媛, 羊亚平, 陈鸿. 双能带三维光子晶体中二能级原子的自发辐射. , 2003, 52(4): 853-858. doi: 10.7498/aps.52.853

计量

文章访问数: 10304
PDF下载量: 1251
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板