Time evolution of distribution functions in dissipative environments

doi:10.1088/1674-1056/20/7/074204

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 74204-074204.doi: 10.1088/1674-1056/20/7/074204

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Time evolution of distribution functions in dissipative environments

胡利云¹, 陈菲¹, 王资生¹, 范洪义²

(1)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

收稿日期:2010-11-19 修回日期:2011-01-06 出版日期:2011-07-15 发布日期:2011-07-15

Time evolution of distribution functions in dissipative environments

Hu Li-Yun(胡利云)^a)^†, Chen Fei(陈菲)^a), Wang Zi-Sheng(王资生)^a), and Fan Hong-Yi(范洪义)^b)

^a College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; ^b Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

Received:2010-11-19 Revised:2011-01-06 Online:2011-07-15 Published:2011-07-15

摘要/Abstract

摘要： By introducing the thermal entangled state representation, we investigate the time evolution of distribution functions in the dissipative channels by bridging the relation between the initial distribution function and the any time distribution function. We find that most of them are expressed as such integrations over the Laguerre—Gaussian function. Furthermore, as applications, we derive the time evolution of photon-counting distribution by bridging the relation between the initial distribution function and the any time photon-counting distribution, and the time evolution of R-function characteristic of nonclassicality depth.

Abstract: By introducing the thermal entangled state representation, we investigate the time evolution of distribution functions in the dissipative channels by bridging the relation between the initial distribution function and the any time distribution function. We find that most of them are expressed as such integrations over the Laguerre—Gaussian function. Furthermore, as applications, we derive the time evolution of photon-counting distribution by bridging the relation between the initial distribution function and the any time photon-counting distribution, and the time evolution of R-function characteristic of nonclassicality depth.

Key words: entangled state representation, dissipative environment, photon-counting distribution, R-function

中图分类号: (Quantum optics)

42.50.-p

03.65.-w (Quantum mechanics)

胡利云, 陈菲, 王资生, 范洪义. Time evolution of distribution functions in dissipative environments[J]. 中国物理B, 2011, 20(7): 74204-074204.

Hu Li-Yun(胡利云), Chen Fei(陈菲), Wang Zi-Sheng(王资生), and Fan Hong-Yi(范洪义) . Time evolution of distribution functions in dissipative environments[J]. Chin. Phys. B, 2011, 20(7): 74204-074204.

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Time evolution of distribution functions in dissipative environments

Time evolution of distribution functions in dissipative environments

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