中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120302-120302.doi: 10.1088/1674-1056/20/12/120302

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

席留生1, 姜年权2, 唐龙英2, 袁先漳2, 范洪义3   

  1. (1)College of Foreign Languages, Wenzhou University, Wenzhou 325035, China; (2)College of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China; (3)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
  • 收稿日期:2011-05-04 修回日期:2011-06-13 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. 10947017/A05, 10874174, and A040408) and the Natural Science Foundation of Zhejiang Province of China (Grant No. Y6090529).

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

Jiang Nian-Quan(姜年权)a)†, Fan Hong-Yi(范洪义) b), Xi Liu-Sheng(席留生)c), Tang Long-Ying(唐龙英)a), and Yuan Xian-Zhang(袁先漳)a)   

  1. a College of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China; b Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; c College of Foreign Languages, Wenzhou University, Wenzhou 325035, China
  • Received:2011-05-04 Revised:2011-06-13 Online:2011-12-15 Published:2011-12-15
  • Supported by:
    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).

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摘要： 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.

关键词: squeezed vacuum state, dissipative channel, master equation

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.

Key words: squeezed vacuum state, dissipative channel, master equation

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.-p (Quantum optics) 42.50.Dv (Quantum state engineering and measurements)