Solution of the Lindblad Equation in the Kraus Representation

Details Solution of the Lindblad Equation in the Kraus Representation Solution of the Lindblad Equation in the Kraus Representation

2006-06-23

arxiv.org/abs/quant-ph/0606193v2

Phys. Rev. A 74 (2006) 062113

Physics

Quantum Physics

9 pages

Scientific paper

10.1103/PhysRevA.74.062113

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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