### Abstract

We discuss the case of a Markovian master equation for an open system, as it is frequently found from environmental decoherence. We prove two theorems for the evolution of the quantum state. The first one states that for a generic initial state the corresponding Wigner function becomes strictly positive after a finite time has elapsed. The second one states that also the P-function becomes exactly positive after a decoherence time of the same order. Therefore, the density matrix becomes exactly decomposable into a mixture of Gaussian pointer states.

Original language | English |
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Pages (from-to) | 2675-2683 |

Number of pages | 9 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 35 |

Issue number | 11 |

DOIs | |

Publication status | Published - Mar 22 2002 |

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)

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## Cite this

Diósi, L., & Kiefer, C. (2002). Exact positivity of the Wigner and P-functions of a Markovian open system.

*Journal of Physics A: Mathematical and General*,*35*(11), 2675-2683. https://doi.org/10.1088/0305-4470/35/11/312