Solving nonlinear master equation describing quantum damping by virtue of the entangled state representation  

作　　者：范洪义 任刚 胡利云 姜年权 

机构地区：[1]Department of Material Science and Engineering,University of Science and Technology of China [2]College of Physics and Communication Electronics,Jiangxi Normal University [3]College of Physics and Electric Information,Wenzhou University

出　　处：《Chinese Physics B》2010年第11期416-419,共4页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174);the Research Foundation of the Education Department of Jiangxi Province of China (Grant No. GJJ10097)

摘　　要：This paper solves the newly constructed nonlinear master equation dρ/dt = κ[2f （N） aρ （1/f （N - 1））a^＋ -a^＋aρ- ρa^＋a], where f（N） is an operator-valued function of N = a^＋a, for describing amplitude damping channel, and derives the infinite operator sum representation of quasi-Kraus operators for the density operator. It also shows that in this nonlinear process the initial pure number state density operator will evolve into the binomial field （a mixed state） when f （N） = 1√N ＋ 1.This paper solves the newly constructed nonlinear master equation dρ/dt = κ[2f （N） aρ （1/f （N - 1））a^＋ -a^＋aρ- ρa^＋a], where f（N） is an operator-valued function of N = a^＋a, for describing amplitude damping channel, and derives the infinite operator sum representation of quasi-Kraus operators for the density operator. It also shows that in this nonlinear process the initial pure number state density operator will evolve into the binomial field （a mixed state） when f （N） = 1√N ＋ 1.

关 键 词：nonlinear master equation operator sum representation Kraus operator binomial state 

分 类 号：O413.1[理学—理论物理]