ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
Prev
Next
|
|
|
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 |
|
|
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.
|
Received: 19 November 2010
Revised: 06 January 2011
Accepted manuscript online:
|
PACS:
|
42.50.-p
|
(Quantum optics)
|
|
03.65.-w
|
(Quantum mechanics)
|
|
Cite this article:
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 2011 Chin. Phys. B 20 074204
|
[1] |
Moya-Cessa H 2006 Phys. Rep. 432 1
|
[2] |
Fan H Y and Hu L Y 2008 Opt. Commun. 281 5571
|
[3] |
Fan H Y and Hu L Y 2008 Mod. Phys. Lett. B 22 2435
|
[4] |
Fan H Y and Hu L Y 2009 Commun. Theor. Phys. 52 729
|
[5] |
Fan H Y and Hu L Y 2009 Opt. Commun. 282 932
|
[6] |
Jaffe C, Kanfer S and Brumer P 1985 Phys. Rev. Lett. 54 8
|
[7] |
Wilkie J and Brumer P 2000 Phys. Rev. A 61 064101
|
[8] |
Lee C T 1991 Phys. Rev. A 44 R2775
|
[9] |
Fan H Y and Fan Y 2001 Phys. Lett. A 282 269
|
[10] |
Fan H Y and Fan Y 2002 J. Phys. A 35 6873
|
[11] |
Takahashi Y and Umezawa H 1975 Int. J. Mod. Phys. B bf2 55
|
[12] |
Umezawa H 1993 Advanced Field Theory — Micro, Macro, and Thermal Physics (New York: AIP)
|
[13] |
Takahashi Y and Umezawa H 1975 Collecive Phenomena 2 55
|
[14] |
Gardiner C and Zoller P 2000 Quantum Noise (Berlin: Springer)
|
[15] |
Fan H Y 1997 Representation and Transformation Theory in Quantum Mechanics (Shanghai: Shanghai Scientific & Technical Press) p. 114 (in Chinese)
|
[16] |
Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
|
[17] |
Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
|
[18] |
Puri R R 2001 Mathematical Methods of Quantum Optics (Berlin: Springer-Verlag) Appendix A
|
[19] |
Hu L Y and Fan H Y 2009 Opt. Commun. 282 4379
|
[20] |
Fan H Y and Hu L Y 2008 Opt. Lett. 33 443
|
[21] |
Hu L Y, Wang Z S, Kwek L C and Fan H Y 2010 20 (in press)
|
[22] |
Agarwal G S and Tara K 1991 Phys. Rev. A 43 492
|
[23] |
Glauber R J 1963 Phys. Rev. 130 2529
|
[24] |
Klauder J R and Skargerstam B S 1985 Coherent States (Singapore: World Scientific)
|
[25] |
Hu L Y, Xu X X, Wang Z S and Xu X F 2010 Phys. Rev. A 82 043842
|
[26] |
Yang Y and Li F L 2009 J. Opt. Soc. Am. B 26 830
|
[27] |
Mehta C L 1967 Phys. Rev. Lett. 18 752
|
[28] |
Carmichael H J 1999 Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Berlin: Springer-Verlag)
|
[29] |
Hu L Y and Fan H Y 2008 J. Opt. Soc. Am. B 25 1995
|
[30] |
Hu L Y, Xu X X and Fan H Y 2010 J. Opt. Soc. Am. B 27 286
|
[31] |
Fan H Y, Ren G, Hu L Y and Jiang N Q 2010 Chin. Phys. B 19 114206
|
[32] |
Fan H Y, Yuan H C and Hu L Y 2010 Chin. Phys. B 19 104204
|
[33] |
Fan H Y 2010 Chin. Phys. B 19 050303
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|