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Solution of the Lindblad Equation in the Kraus Representation

H. Nakazato·Y. Hida·K. Yuasa·B. Militello·A. Napoli·A. Messina
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Abstract

The so-called Lindblad equation, a typical master equation describing the dissipative quantum dynamics, is shown to be solvable for finite-level systems in a compact form without resort to writing it down as a set of equations among matrix elements. The solution is then naturally given in an operator form, known as the Kraus representation. Following a few simple examples, the general applicability of the method is clarified.

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H. Nakazato, Y. Hida, K. Yuasa, B. Militello, A. Napoli, A. Messina. 2006-12-28. Solution of the Lindblad Equation in the Kraus Representation. https://doi.org/10.1103/physreva.74.062113

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