Thermo-vacuum state in a negative binomial optical field and its application

Wan Zhi-Long; Fan Hong-Yi

doi:10.7498/aps.64.190301

Abstract

The core of optical field theory at finite temperature is how to introduce the thermo-vacuum state which is the basis of comprehensive investigation of electromagnetic field by virtue of quantum statistic method. Based on the spirit of thermo-field dynamics initiated by Takahashi and Umezawa, we first employ the integration method within the ordered product of operators to search for thermo-vacuum state for the optical negative binomial state (NBS)s=s+1(1-)n|n,+,+,which takes the form of pure negative binomial state. The newly found thermo-vacuum state brings convenience for evaluating the Wigner function of NBS and the fluctuation of photon numbers in NBS.

Keywords:

Authors and contacts

Wan Zhi-Long^1,2,
Fan Hong-Yi¹

1.
Department of Materials Science and Engineering, University of Science and Technology of China, Heifei 230026, China;
2.
School of Mathematical and Chemical Ind ustry, Changzhou Institute of Technology, Changzhou 213002, China

Corresponding author: Fan Hong-Yi, fhym@ustc.edu.cn

Funds: Project supported by the National Natural Science Foundation of China(Grant No.11175113).

References

[1]	Hu L Y, Fan H Y 2009 Mod. Phys. Lett. A 24 2263
[2]	Fan H Y, Jiang N Q 2008 Phys. Scr. 78 045402
[3]	Umezawa H 1996 Int. J. Mod. Phys. B 10 1563
[4]	Takahashi Y, Umezawa H 1993 Phys. Lett. A 174 206
[5]	Zhang Z X, Fan H Y 1993 Phys. Lett. A 174 206
[6]	Hu L Y, Fan H Y 2009 Chin. Phys. Lett. 26 090307
[7]	Xu X X, Hu L Y, Guo Q, Fan H Y 2013 Chin. Phys. B 22 090302
[8]	Hu L Y, Zhang Z M 2012 Chin. Opt. Lett. 10 082701
[9]	Agarwal G S 1992 Phys. Rev. A 45 1787
[10]	Fan H Y, Lou S Y, Pan X Y, Da C 2013 Acta. Phys. Sin. 62 240301(in Chinese) [范洪义, 楼森岳, 潘孝胤, 笪诚 2013 62 240301]
[11]	Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[12]	Fan H Y, Zhan D H, Yu W J, Zhou J 2012 Acta. Phys. Sin. 61 110302(in Chinese) [范洪义, 展德会, 于文健, 周军 2012 61 110302]
[13]	Fan H Y, Ruan T N 1983 Commun. Theor. Phys. 2 1563
[14]	Fan H Y, Ruan T N 1984 Commun. Theor. Phys. 3 345
[15]	Fan H Y, Fan Y 1997 Mod. Phys. Lett. A 12 2325
[16]	Fan H Y, Zaidi H R 1987 Phys. Lett. A 124 303

Cited By

[1]	Hu L Y, Fan H Y 2009 Mod. Phys. Lett. A 24 2263
[2]	Fan H Y, Jiang N Q 2008 Phys. Scr. 78 045402
[3]	Umezawa H 1996 Int. J. Mod. Phys. B 10 1563
[4]	Takahashi Y, Umezawa H 1993 Phys. Lett. A 174 206
[5]	Zhang Z X, Fan H Y 1993 Phys. Lett. A 174 206
[6]	Hu L Y, Fan H Y 2009 Chin. Phys. Lett. 26 090307
[7]	Xu X X, Hu L Y, Guo Q, Fan H Y 2013 Chin. Phys. B 22 090302
[8]	Hu L Y, Zhang Z M 2012 Chin. Opt. Lett. 10 082701
[9]	Agarwal G S 1992 Phys. Rev. A 45 1787
[10]	Fan H Y, Lou S Y, Pan X Y, Da C 2013 Acta. Phys. Sin. 62 240301(in Chinese) [范洪义, 楼森岳, 潘孝胤, 笪诚 2013 62 240301]
[11]	Fan H Y, Klauder J R 1994 Phys. Rev. A 49 704
[12]	Fan H Y, Zhan D H, Yu W J, Zhou J 2012 Acta. Phys. Sin. 61 110302(in Chinese) [范洪义, 展德会, 于文健, 周军 2012 61 110302]
[13]	Fan H Y, Ruan T N 1983 Commun. Theor. Phys. 2 1563
[14]	Fan H Y, Ruan T N 1984 Commun. Theor. Phys. 3 345
[15]	Fan H Y, Fan Y 1997 Mod. Phys. Lett. A 12 2325
[16]	Fan H Y, Zaidi H R 1987 Phys. Lett. A 124 303

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Catalog

Vol. 64, Issue 19 - 2015-10-05

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