Evolution of a two-mode squeezed vacuum in the amplitude dissipative channel

doi:10.1088/1674-1056/20/12/120302

Abstract For the first time we derive the dissipating result of an initial two-mode squeezed pure vacuum state passing through a two-mode amplitude dissipative channel described by the direct product of two independent single-mode master equations. Although these two master equations do not mix the two modes (there is no coupling between them), since the two-mode squeezed state is simultaneously an entangled state, the final state which emerges from passing this channel is a two-mode mixed density operator. The compact expression of the outcoming state is obtained, which manifestly shows that as time evolves, the squeezing effect decreases.

Keywords: squeezed vacuum state dissipative channel master equation

Received: 04 May 2011
Revised: 13 June 2011
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	42.50.-p	(Quantum optics)
	42.50.Dv	(Quantum state engineering and measurements)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10947017/A05, 10874174, and A040408) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6090529).

Cite this article:

Jiang Nian-Quan(姜年权), Fan Hong-Yi(范洪义), Xi Liu-Sheng(席留生), Tang Long-Ying(唐龙英), and Yuan Xian-Zhang(袁先漳) Evolution of a two-mode squeezed vacuum in the amplitude dissipative channel 2011 Chin. Phys. B 20 120302

[1]	Takahashi Y and Umezawa H 1975 Collecive Phenomena2 55
[2]	Memorial Issue for Umezawa H 1996 Int. J. Mod. Phys.B 10 memorial issue and references therein
[3]	Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[4]	Gardiner CWand Zoller P 2000 Quantum Noise 2nd edn.(New Yok: Springer-Verlag)
[5]	Orszag M 2000 Quantum Optics (Berlin: Springer)
[6]	Fan H Y 2008 Ann. Phys. 323 500
[7]	Jiang N Q and Zheng Y Z 2006 Phys. Rev. A 74 012306
[8]	Jiang N Q, Jing B Q, Zhang Y and Cai G C 2008 Europhys.Lett. 84 14002
[9]	Jiang N Q, Fan H Y and Hu L Y 2011 J. Phys. A: Math.Theor. 44 195302
[10]	Fan H Y, Ren G, Hu L Y and Jiang N Q 2010 Chin. Phys.B 19 114206
[11]	Fan H Y and Jiang N Q 2010 Chin. Phys. B 19 090301
[12]	Fan H Y and Hu L Y 2008 Mod. Phys. Lett. B 22 2435
[13]	Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
[14]	Fan H Y and Ren G 2010 Chin. Phys. Lett. 27 050302
[15]	Fan H Y 2010 Chin. Phys. B 19 050303

[1]	Super-sensitivity measurement of tiny Doppler frequency shifts based on parametric amplification and squeezed vacuum state Zhi-Yuan Wang(王志远), Zi-Jing Zhang(张子静), and Yuan Zhao(赵远). Chin. Phys. B, 2021, 30(7): 074202.
[2]	Quantum exceptional points of non-Hermitian Hamiltonian and Liouvillian in dissipative quantum Rabi model Xianfeng Ou(欧先锋), Jiahao Huang(黄嘉豪), and Chaohong Lee(李朝红). Chin. Phys. B, 2021, 30(11): 110309.
[3]	Dynamical evolution of photon-added thermal state in thermal reservoir Xue-Xiang Xu(徐学翔), Hong-Chun Yuan(袁洪春). Chin. Phys. B, 2019, 28(11): 110301.
[4]	Arbitrated quantum signature scheme with continuous-variable squeezed vacuum states Yan-Yan Feng(冯艳艳), Rong-Hua Shi(施荣华), Ying Guo(郭迎). Chin. Phys. B, 2018, 27(2): 020302.
[5]	Super-resolution and super-sensitivity of entangled squeezed vacuum state using optimal detection strategy Jiandong Zhang(张建东), Zijing Zhang(张子静), Longzhu Cen(岑龙柱), Shuo Li(李硕), Yuan Zhao(赵远), Feng Wang(王峰). Chin. Phys. B, 2017, 26(9): 094204.
[6]	Generation of squeezed vacuum on cesium D2 line down to kilohertz range Jian-Feng Tian(田剑锋), Guan-Hua Zuo(左冠华), Yu-Chi Zhang(张玉驰), Gang Li(李刚), Peng-Fei Zhang(张鹏飞), Tian-Cai Zhang(张天才). Chin. Phys. B, 2017, 26(12): 124206.
[7]	Dynamics of spinor Bose-Einstein condensate subject to dissipation Man-Man Pang(庞曼曼), Ya-Jiang Hao(郝亚江). Chin. Phys. B, 2016, 25(4): 040501.
[8]	A new optical field generated as an output of the displaced Fock state in an amplitude dissipative channel Xu Xue-Fen(许雪芬), Fan Hong-Yi(范洪义). Chin. Phys. B, 2015, 24(1): 010301.
[9]	New approach to solving master equations of density operator for the Jaynes Cummings model with cavity damping Seyed Mahmoud Ashrafi, Mohammad Reza Bazrafkan. Chin. Phys. B, 2014, 23(9): 090303.
[10]	Organic magnetoresistance based on hopping theory Yang Fu-Jiang (杨福江), Xie Shi-Jie (解士杰). Chin. Phys. B, 2014, 23(9): 097306.
[11]	Scheme for generating a cluster-type entangled squeezed vacuum state via cavity QED Wen Jing-Ji (文晶姬), Yeon Kyu-Hwang, Wang Hong-Fu (王洪福), Zhang Shou (张寿). Chin. Phys. B, 2014, 23(4): 040301.
[12]	Master equation describing the diffusion process for a coherent state Liu Tang-Kun (刘堂昆), Shan Chuan-Jia (单传家), Liu Ji-Bing (刘继兵), Fan Hong-Yi (范洪义). Chin. Phys. B, 2014, 23(3): 030303.
[13]	Evolution law of a negative binomial state in an amplitude dissipative channel Chen Feng (陈锋), Fan Hong-Yi (范洪义). Chin. Phys. B, 2014, 23(3): 030304.
[14]	Drift coefficients of motor proteins moving along sidesteps Li Jing-Hui (李静辉). Chin. Phys. B, 2014, 23(10): 100503.
[15]	Asymptotic dynamics of the alternate degrees of freedom for atwo-mode system: An analytically solvable model M. Arsenijević, J. Jeknić-Dugić, M. Dugić. Chin. Phys. B, 2013, 22(2): 020302.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Evolution of a two-mode squeezed vacuum in the amplitude dissipative channel

Cite this article:

Online attention