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Solution of the Lindblad Equation in the Kraus Representation

Quantum Physics 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.quant-ph/0606193,
  title  = {Solution of the Lindblad Equation in the Kraus Representation},
  author = {H. Nakazato and Y. Hida and K. Yuasa and B. Militello and A. Napoli and A. Messina},
  journal= {arXiv preprint arXiv:quant-ph/0606193},
  year   = {2007}
}

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9 pages