Evolution law of Wigner function in laser process

doi:10.1007/s11467-013-0334-8

Front. Phys.

2013, Vol. 8

Issue (4) : 381-385 https://doi.org/10.1007/s11467-013-0334-8

RESEARCH ARTICLE

Evolution law of Wigner function in laser process

Rui He¹, Jun-Hua Chen¹(

), Hong-Yi Fan^1,2

1. Department of Material Science and Engineering , University of Science and Technology of China, Hefei 230026, China; 2. Department of Physics, Shanghai Jiao Tong University , Shanghai 200030, China

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Abstract

Based on the density operator’s o perator-sum representation r ecently obtained by Fan and Hu for a laser process (Opt. Commun., 2008, 281: 5571; Opt. Commun., 2009, 282: 932; Phys. Lett. B, 2008, 22: 2435), we derive the evolution law of Wigner operator, the law is concisely expressed in the normally ordered formΔ(α,α*,t)=Tπ:exp?[-2T(a?e-(κ-g)t-α*)-(ae-(k-g)t-α)] :, where g and κ are the cavity gain and the loss, respectively, and T≡ (κ-g )(κ+g-2ge^{-2(κ-g) t})^-1. When t=0,Δ(α,α,t)→1π : exp?[-2(a?-α*)-(a-α)] :, which is the initial Wigner operator. Using this formalism the evolution law of Wigner functions in laser process can be directly obtained.

Keywords Kraus operator Wigner operator laser process

Corresponding Author(s): Chen Jun-Hua,Email:cjh@ustc.edu.cn

Issue Date: 01 August 2013

Cite this article:

Rui He,Jun-Hua Chen,Hong-Yi Fan. Evolution law of Wigner function in laser process[J]. Front. Phys. , 2013, 8(4): 381-385.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-013-0334-8
https://academic.hep.com.cn/fop/EN/Y2013/V8/I4/381

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