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International Journal of Theoretical Physics

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

Xiang‐Gao Meng, Ji‐Suo Wang, Hua-Chao Gao

Published Mar 28, 2016• 12 citations
Publisher
DOI
10.1007/s10773-016-2992-0

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We solve the fermionic master equation for a thermal bath to obtain its explicit Kraus operator solutions via the fermionic state approach. The normalization condition of the Kraus operators is proved. The matrix representation for these solutions is obtained, which is incongruous with the result in the book completed by Nielsen and Chuang [ Quantum Computation and Quantum Information , Cambridge University Press, 2000]. As especial cases, we also present the Kraus operator solutions to master equations for describing the amplitude-decay model and the diffusion process at finite temperature.