Solving nonlinear master equation describing quantum damping by virtue of the entangled state representation |
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| Authors: | Fan Hong-Yi Ren Gang Hu Li-Yun Jiang Nian-Quan |
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| Affiliation: | Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;College of Physics and Electric Information, Wenzhou University, Wenzhou 325035, China |
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| Abstract: | This paper solves the newly constructed nonlinear master equation drho /d t =kappa [ 2fleft( Nright) arho (1/fleft( N-1right) )% a^# -a^# arho -rho a^# 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 fleft( Nright) =1/sqrtN+1. |
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| Keywords: | nonlinear master equation operator sum representation Kraus operator binomial state |
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