Solution of the Lindblad Equation in the Kraus Representation

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.

9 pages

References in corpus (1)

• Purity and decoherence in the theory of a damped harmonic oscillator

Cited by in corpus (7)

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• Influence of dissipation on the extraction of quantum states via repeated measurements
• Estimation of the Repeatedly-Projected Reduced Density Matrix under Decoherence