Kraus Operator-Sum Solution to the Master Equation Describing the Single-Mode Cavity Driven by an Oscillating External Field in the Heat Reservoir

Exploiting the thermo entangled state approach, we successfully solve the master equation for describing the single-mode cavity driven by an oscillating external field in the heat reservoir and then get the analytical time-evolution rule for the density operator in the infinitive Kraus operator-sum...

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Bibliographic Details
Published in:International journal of theoretical physics 2016-08, Vol.55 (8), p.3630-3636
Main Authors: Meng, Xiang-Guo, Wang, Ji-Suo, Gao, Hua-Chao
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:Exploiting the thermo entangled state approach, we successfully solve the master equation for describing the single-mode cavity driven by an oscillating external field in the heat reservoir and then get the analytical time-evolution rule for the density operator in the infinitive Kraus operator-sum representation. It is worth noting that the Kraus operator M l , m is proved to be a trace-preserving quantum operation. As an application, the time-evolution for an initial coherent state ρ | β 〉 = | β 〉〈 β | in such an environment is investigated, which shows that the initial coherent state decays to a new mixed state as a result of thermal noise, however the coherence can still be reserved for amplitude damping.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-016-2992-0