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Infinitive Operator-Sum Representation for Damping in a Squeezed Heat Reservoir via the Thermo Entangled State Approach

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Abstract

Using the thermo entangled state approach, we successfully solve the master equation of a damped harmonic oscillator affected by a linear resonance force in a squeezed heat reservoir, and obtain the analytical evolution formula for the density operator in the infinitive Kraus operator-sum representation. Interestingly, the Kraus operators M l,m,n,r and \(\mathfrak {M}_{l,m,n,r}^{\dag }\) are not Hermite conjugate, but they are still trace-preserving quantum operations because of the normalization condition. We also investigate the evolution for an initial coherent state for damping in a squeezed heat reservoir, which shows that the initial coherent state decays to a complex mixed state as a result of damping and thermal noise.

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Authors and Affiliations

  1. College of Mechanical and Electrical Engineering, Chizhou University, Chizhou, Anhui, 247000, China

    Wei-Feng Wu

  2. Department of Materials Science and Engineering, University of Science and Technology of China, Hefei, 230026, China

    Wei-Feng Wu

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  1. Wei-Feng Wu
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Correspondence to Wei-Feng Wu.

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Wu, WF. Infinitive Operator-Sum Representation for Damping in a Squeezed Heat Reservoir via the Thermo Entangled State Approach. Int J Theor Phys 55, 5062–5068 (2016). https://doi.org/10.1007/s10773-016-3127-3

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  • DOI: https://doi.org/10.1007/s10773-016-3127-3

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