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

doi:10.1088/1674-1056/19/11/114206

Abstract This paper solves the newly constructed nonlinear master equation dρ/dt=κ[2f(N)aρ(1/f(N-1) )a^$\dagger$-a^$\dagger$aρ -ρa^$\dagger$a] , where f(N) is an operator-valued function of N=a^$\dagger$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).

Keywords: nonlinear master equation operator sum representation Kraus operator binomial state

Received: 21 February 2010
Revised: 29 March 2010
Accepted manuscript online:

PACS:	02.30.Hq	(Ordinary differential equations)
	02.30.Sa	(Functional analysis)
	02.30.Tb	(Operator theory)
	03.65.Ud	(Entanglement and quantum nonlocality)

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

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Fan Hong-Yi(范洪义), Ren Gang(任刚), Hu Li-Yun(胡利云), and Jiang Nian-Quan(姜年权) Solving nonlinear master equation describing quantum damping by virtue of the entangled state representation 2010 Chin. Phys. B 19 114206

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[5]	Entanglement and photon statistics of output fields from beam splitter for binomial state inputs Zhou Qing-Ping (周清平), Fang Mao-Fa (方卯发). Chin. Phys. B, 2004, 13(9): 1477-1486.

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

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