Please wait a minute...
Chin. Phys. B, 2010, Vol. 19(8): 083202    DOI: 10.1088/1674-1056/19/8/083202
ATOMIC AND MOLECULAR PHYSICS Prev   Next  

Photon counting statistics in single multi-level quantum system

Wang Dong-Sheng(王东升) and Zheng Yu-Jun(郑雨军)
School of Physics, Shandong University, Jinan 250100, China
Abstract  We theoretically study the statistics of photon emission of a single multi-level quantum system by employing the generating functions approach developed recently. The generalized decay constants are included in a single multi-level quantum system with quasi-degenerated levels in this work although they are normally neglected in the absence of (quasi-)degeneracies in a multi-level quantum system within the rotating wave approximation. The quantum beats, the line shapes and the Mandel's Q parameters, etc. are studied.
Keywords:  photon statistics      generating function      single quantum system  
Received:  16 November 2009      Revised:  29 December 2009      Accepted manuscript online: 
PACS:  42.50.Ar  
  42.50.Ct (Quantum description of interaction of light and matter; related experiments)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10674083 and 10874102), partially by the Research Fund for the Doctoral Program of Higher Education (Grant No. 200804220004), and Wang acknowledges the support from the National Found for Fostering Talents of Basic Science (NFFTBS) (Grant No. J0730318).

Cite this article: 

Wang Dong-Sheng(王东升) and Zheng Yu-Jun(郑雨军) Photon counting statistics in single multi-level quantum system 2010 Chin. Phys. B 19 083202

[1] Mukamel S 1995 Principles of Nonlinear Optical Sepctroscopy (Oxford: Oxford University Press)
[2] Moerner W E and Kador L 1989 Phys. Rev. Lett. 62 2535
[3] Orrit M and Bernard J 1990 Phys. Rev. Lett. 65 2716
[4] Lu H P, Xun L and Xie X S 1998 Science 282 1877
[5] Moerner W and Orrit M 1999 Science 283 1670
[6] Jelezko F, Lounis B and Orrit M 1997 J. Chem. Phys. 107 1692
[7] Makarov D E and Metiu H 2001 J. Chem. Phys. 115 5989
[8] Cao J S 2006 J. Phys. Chem. B 110 19040
[9] Plenio M B and Knight P L 1998 Rev. Mod. Phys. 70 101
[10] Flindt C, Novotn'y T, Braggio A, Sassetti M and Jauho A P 2008 Phys. Rev. Lett. 100 150601
[11] Cook R J 1981 Phys. Rev. A 23 1243
[12] Sung J and Silbey R J 2005 Chem. Phys. Lett. 415 10
[13] Shilkerman F and Barkai E 2007 Phys. Rev. Lett. 99 208302
[14] Zheng Y and Brown F L H 2003 Phys. Rev. Lett. 90 238305
[15] Mukamel S 2003 Phys. Rev. A 68 063821
[16] Gopich I and Szabo A 2003 J. Chem. Phys. 118 454
[17] Brown F L H 2003 Phys. Rev. Lett. 90 028302
[18] Bel G and Brown F L H 2009 Phys. Rev. Lett. 102 018303
[19] Sanda F and Mukamel S 2005 Phys Rev. A 71 033807
[20] He Y and Barkai E 2004 Phys. Rev. Lett. 93 068302
[21] Budini A A 2007 J. Chem. Phys. 126 054101
[22] Budini A A 2006 Phys. Rev. A 73 061802
[23] Zheng Y and Brown F L H 2003 J. Chem. Phys. 119 11814
[24] Zheng Y and Brown F L H 2004 J. Chem. Phys. 121 3238
[25] Peng Y, Zheng Y and Brown F L H 2007 J. Chem. Phys. 126 104303
[26] Peng Y and Zheng Y 2008 Appl. Phys. Lett. 92 092120
[27] Han B and Zheng Y 2008 Phys. Rev. A 78 015402
[28] Zheng Y 2008 J. Chem. Phys. 129 246102
[29] Bel G, Zheng Y and Brown F L H 2006 J. Phys. Chem. B 110 19066
[30] Peng Y and Zheng Y 2009 Phys. Rev. A 80 043831
[31] Han B, Ji Z and Zheng Y 2009 J. Chem. Phys. 130 244502
[32] Li X J and Change K 2008 Appl. Phys. Lett. 92 071116
[33] Htoon H, Furis M, Crooker S A, Jeong S and Klimov V I 2008 Phys. Rev. B 77 035328
[34] Gomez E, Aubin S, Orozco L A, Sprouse G D, Tchoukova E I and Safronova M S 2008 Phys. Rev. Lett. 100 172502
[35] Kortyna A, Fiore V and Farrar J 2008 Phys. Rev. A 77 062505
[36] Li G X, Gao T and Zhang Y G 2008 Chin. Phys. B 17 2040
[37] Wang F Y, Shi B S, Lu X S and Guo G C 2008 Chin. Phys. B 17 1798
[38] Zheng Y, Zhang Z and Zhang X 2009 Acta Phys. Sin. 58 8194 (in Chinese)
[39] Peng Y, Zhang X, Zhang Z and Zheng Y 2010 Acta Phys. Sin. 59 1795 (in Chinese)
[40] Wei X G, Wu J H, Sun G X, Shao Z, Kang Z H, Jiang Y and Gao J Y 2005 Phys. Rev. A 72 023806
[41] He Y and Barkai E 2006 Phys. Chem. Chem. Phys. 8 5056
[42] Gopich I and Szabo A 2005 J. Chem. Phys. 122 014707
[43] Gopich I and Szabo A 2006 J. Chem. Phys. 124 154712
[44] Cardimona D A, Raymer M G and Stroud Jr C R 1982 J. Phys. B 15 55
[45] Cardimona D A and Stroud Jr C R 1983 Phys. Rev. A 27 2456
[46] Blum K 1981 Density Matrix Theory and Applications 2ed ed. (New York: Plenum)
[47] Milonni P W and Smith W A 1975 Phys. Rev. A 11 814
[48] Rozhkov I and Barkai E 2005 Phys. Rev. A 71 033810
[49] Hegerfeldt G C and Plenio M B 1994 Quantum Opt. 6 15
[1] Quantum fields presentation and generating functions of symplectic Schur functions and symplectic universal characters
Denghui Li(李登慧), Fei Wang(王菲), and Zhaowen Yan(颜昭雯). Chin. Phys. B, 2022, 31(8): 080202.
[2] Non-Rayleigh photon statistics of superbunching pseudothermal light
Chao-Qi Wei(卫超奇), Jian-Bin Liu(刘建彬), Xue-Xing Zhang(张学星), Rui Zhuang(庄睿), Yu Zhou(周宇), Hui Chen(陈辉), Yu-Chen He(贺雨晨), Huai-Bin Zheng(郑淮斌), and Zhuo Xu(徐卓). Chin. Phys. B, 2022, 31(2): 024209.
[3] Impact of the spatial coherence on self-interference digital holography
Xingbing Chao(潮兴兵), Yuan Gao(高源), Jianping Ding(丁剑平), and Hui-Tian Wang(王慧田). Chin. Phys. B, 2021, 30(8): 084212.
[4] A new two-mode thermo-and squeezing-mixed optical field
Jun Zhou(周军), Hong-yi Fan(范洪义), Jun Song(宋军). Chin. Phys. B, 2017, 26(7): 070301.
[5] New useful special function in quantum optics theory
Feng Chen(陈锋), Hong-Yi Fan(范洪义). Chin. Phys. B, 2016, 25(8): 080303.
[6] Photon statistics of pulse-pumped four-wave mixing in fiber with weak signal injection
Nan-Nan Liu(刘楠楠), Yu-Hong Liu(刘宇宏), Jia-Min Li(李嘉敏), Xiao-Ying Li(李小英). Chin. Phys. B, 2016, 25(7): 074203.
[7] Degree distribution of random birth-and-death network with network size decline
Xiao-Jun Zhang(张晓军), Hui-Lan Yang(杨会兰). Chin. Phys. B, 2016, 25(6): 060202.
[8] The influence of phonon bath on the control of single photon
Zhang Wei (张威), Lu Hai-Tao (芦海涛). Chin. Phys. B, 2015, 24(6): 067806.
[9] Generating function of product of bivariate Hermite polynomialsand their applications in studying quantum optical states
Fan Hong-Yi (范洪义), Zhang Peng-Fei (张鹏飞), Wang Zhen (王震). Chin. Phys. B, 2015, 24(5): 050303.
[10] Photon pair source via two coupling single quantum emitters
Peng Yong-Gang (彭勇刚), Zheng Yu-Jun (郑雨军). Chin. Phys. B, 2015, 24(10): 104206.
[11] New generating function formulae of even- and odd-Hermite polynomials obtained and applied in the context of quantum optics
Fan Hong-Yi (范洪义), Zhan De-Hui (展德会). Chin. Phys. B, 2014, 23(6): 060301.
[12] Some new generating function formulae of the two-variable Hermite polynomials and their application in quantum optics
Zhan De-Hui (展德会), Fan Hong-Yi (范洪义). Chin. Phys. B, 2014, 23(12): 120301.
[13] Generation and classification of the translational shape-invariant potentials based on the analytical transfer matrix method
Sang Ming-Huang(桑明煌), Yu Zi-Xing(余子星), Li Cui-Cui(李翠翠), and Tu Kai(涂凯) . Chin. Phys. B, 2011, 20(12): 120304.
[14] Entanglement and photon statistics of output fields from beam splitter for binomial state inputs
Zhou Qing-Ping (周清平), Fang Mao-Fa (方卯发). Chin. Phys. B, 2004, 13(9): 1477-1486.
[15] Photon statistics of the micromaser with a Kerr medium
Wu Shu-Dong (吴曙东), Zhan Zhi-Ming (詹志明), Jin Li-Xia (金丽霞). Chin. Phys. B, 2002, 11(12): 1272-1275.
No Suggested Reading articles found!