Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel

doi:10.1088/1674-1056/20/12/120301

Abstract We explore how a two-mode squeezed vacuum state sechθ e^{a⁺b⁺ tanh θ}|00> evolves when it undergoes a singlemode amplitude dissipative channel with rate of decay κ. We find that in this process not only the squeezing parameter decreases, tanh θ → e^-κt tanh θ, but also the second-mode vacuum state evolves into a chaotic state exp{b⁺bln[1 - e^-2κt tanh² θ]}. The outcome state is no more a pure state, but an entangled mixed state.

Keywords: amplitude dissipative channel two-mode squeezed vacuum state two-mode entangled state quantum communication

Received: 05 April 2011
Revised: 17 June 2011
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	42.50.-p	(Quantum optics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11047133 and 10647133), the Natural Science Foundation of Jiangxi Province of China (Grant Nos. 2009GQS0080 and 2010GQW0027), and the Research Foundation of the Education Department of Jiangxi Province of China (Grant Nos. GJJ11339 and GJJ10097).

Cite this article:

Zhou Nan-Run(周南润), Hu Li-Yun(胡利云), and Fan Hong-Yi(范洪义) Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel 2011 Chin. Phys. B 20 120301

[1]	Bouwmeester D, Ekert A and Zeilinger 2000 The Physicsof Quantum Information (Berlin: Springer)
[2]	Gardiner CWand Zoller P 2000 Quantum Noise 2nd edn.(New York: Springer-Verlag)
[3]	Fan H Y and Hu L Y 2009 Chin. Phys. B 18 1061
[4]	Fan H Y and Hu L Y 2009 Commun. Theor. Phys. 51 729
[5]	Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
[6]	Fan H Y and Fan Y 1998 Phys. Lett. A 246 242
[7]	Fan H Y and Hu L Y 2008 Mod. Phys. Lett. B 22 2435
[8]	Takahashi Y and Umezawa H 1975 Collecive Phenomena2 55
[9]	Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[10]	Mandel L and Wolf E 1995 Optical Coherence and QuantumOptics (New York: Cambridge University Press)
[11]	Hu L Y, Xu X X, Wang Z S and Xu X F 2010 Phys. Rev.A 82 043842
[12]	Hu L Y, Xu X X, Guo Q and Fan H Y 2010 Opt. Commun.283 5074
[13]	Hu L Y and Fan H Y 2009 Chin. Phys. B 18 4657

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Dissipation of a two-mode squeezed vacuum state in the single-mode amplitude damping channel

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