中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120301-120301.doi: 10.1088/1674-1056/20/12/120301

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

周南润1, 范洪义2, 胡利云3   

  1. (1)Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; (3)School of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
  • 收稿日期:2011-04-05 修回日期:2011-06-17 出版日期:2011-12-15 发布日期:2011-12-15
  • 基金资助:
    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).

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

Zhou Nan-Run(周南润)a)†, Hu Li-Yun(胡利云) b), and Fan Hong-Yi(范洪义)c)   

  1. a Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China; b Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; c School of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
  • Received:2011-04-05 Revised:2011-06-17 Online:2011-12-15 Published:2011-12-15
  • Supported by:
    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).

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摘要： We explore how a two-mode squeezed vacuum state sechθ ea+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.

关键词: amplitude dissipative channel, two-mode squeezed vacuum state, two-mode entangled state, quantum communication

Abstract: We explore how a two-mode squeezed vacuum state sechθ ea+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.

Key words: amplitude dissipative channel, two-mode squeezed vacuum state, two-mode entangled state, quantum communication

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.-p (Quantum optics)