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A new approach to the time evolution of characteristic function of the density operator obtained by virtue of thermal entangled state representation

Feng Chen, Hong-Yi Fan

Science China Physics Mechanics and AstronomySep 18, 20128 citations

New approach for analyzing time evolution of density operator in a dissipative channel by the entangled state representation

Hong-Yi Fan, Liyun Hu

Optics CommunicationsAug 22, 200860 citations

Evolution of the single-mode squeezed vacuum state in amplitude dissipative channel

Hong-Yi Fan, Shuai Wang, Liyun Hu

Using the way of deriving infinitive sum representation of density operator as a solution to the master equation describing the amplitude dissipative channel by virtue of the entangled state representation, we show manifestly how the initial density operator of a single-mode squeezed vacuum state evolves into a definite mixed state which turns out to be a squeezed chaotic state with decreasing-squeezing and decoherence. We investigate average photon number, photon statistics distributions for this mixed state.Using the way of deriving infinitive sum representation of density operator as a solution to the master equation describing the amplitude dissipative channel by virtue of the entangled state representation, we show manifestly how the initial density operator of a single-mode squeezed vacuum state evolves into a definite mixed state which turns out to be a squeezed chaotic state with decreasing-squeezing and decoherence. We investigate average photon number, photon statistics distributions for this mixed state.

arXiv:1112.1159Frontiers of PhysicsSep 25, 20138 citations

OPERATOR-SUM REPRESENTATION OF DENSITY OPERATORS AS SOLUTIONS TO MASTER EQUATIONS OBTAINED VIA THE ENTANGLED STATE APPROACH

Hong-Yi Fan, Liyun Hu

We solve various master equations to obtain density operators' infinite operator-sum representation via a new approach, i.e., by virtue of the thermo-entangled state representation that has a fictitious mode as a counterpart mode of the system mode. The corresponding Kraus operators from the point of view of quantum channel are derived, whose normalization conditions are proved. Miscellaneous characters possessed by different quantum channels, such as decoherence, phase diffusion, damping, and amplification, can be shown explicitly in the entangled state representation of the density operators. Squeezing transformation is applied to the density operator for decoherence to generate a master equation for describing the phase sensitive process. Partial trace method for deriving new density operators is also introduced. Throughout our discussion, the technique of integration within an ordered product (IWOP) of operators is fully used.We solve various master equations to obtain density operators' infinite operator-sum representation via a new approach, i.e., by virtue of the thermo-entangled state representation that has a fictitious mode as a counterpart mode of the system mode. The corresponding Kraus operators from the point of view of quantum channel are derived, whose normalization conditions are proved. Miscellaneous characters possessed by different quantum channels, such as decoherence, phase diffusion, damping, and amplification, can be shown explicitly in the entangled state representation of the density operators. Squeezing transformation is applied to the density operator for decoherence to generate a master equation for describing the phase sensitive process. Partial trace method for deriving new density operators is also introduced. Throughout our discussion, the technique of integration within an ordered product (IWOP) of operators is fully used.

Modern Physics Letters BOct 10, 2008111 citations

Numerical Investigation of Phase Space Entropy for a Quantum System in Kerr Medium Under Cavity Damping Effects

Bothayna S. H. Kashkari, S. Abdel‐Khalek

Journal of Computational and Theoretical NanoscienceAug 1, 20170 citations

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

Hong-Yi Fan, Gang Ren, Liyun Hu +1 more

This paper solves the newly constructed nonlinear master equation dρ/d t = κ[2 f ( N ) a ρ (1/ f ( N − 1)) a † − a † a ρ−ρ 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) whenThis paper solves the newly constructed nonlinear master equation dρ/d t = κ[2 f ( N ) a ρ (1/ f ( N − 1)) a † − a † a ρ−ρ 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

Chinese Physics BNov 1, 20109 citations

Infinite Operator-Sum Representation of Density Operator for a Dissipative Cavity with Kerr Medium Derived by Virtue of Entangled State Representation

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