### 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.

Original language | English |
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Article number | 062113 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 74 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2006 Dec 1 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

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## Cite this

Nakazato, H., Hida, Y., Yuasa, K., Militello, B., Napoli, A., & Messina, A. (2006). Solution of the Lindblad equation in the Kraus representation.

*Physical Review A - Atomic, Molecular, and Optical Physics*,*74*(6), [062113]. https://doi.org/10.1103/PhysRevA.74.062113