### 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 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*74*(6), [062113]. https://doi.org/10.1103/PhysRevA.74.062113

**Solution of the Lindblad equation in the Kraus representation.** / Nakazato, H.; Hida, Y.; Yuasa, K.; Militello, B.; Napoli, A.; Messina, A.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 74, no. 6, 062113. https://doi.org/10.1103/PhysRevA.74.062113

}

TY - JOUR

T1 - Solution of the Lindblad equation in the Kraus representation

AU - Nakazato, H.

AU - Hida, Y.

AU - Yuasa, K.

AU - Militello, B.

AU - Napoli, A.

AU - Messina, A.

PY - 2006

Y1 - 2006

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33846356292&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846356292&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.74.062113

DO - 10.1103/PhysRevA.74.062113

M3 - Article

VL - 74

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

M1 - 062113

ER -