### 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 |

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### ASJC Scopus subject areas

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

### Cite this

*Journal of Physics A: Mathematical and General*,

*35*(11), 2675-2683. https://doi.org/10.1088/0305-4470/35/11/312

**Exact positivity of the Wigner and P-functions of a Markovian open system.** / Diósi, L.; Kiefer, Claus.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and General*, vol. 35, no. 11, pp. 2675-2683. https://doi.org/10.1088/0305-4470/35/11/312

}

TY - JOUR

T1 - Exact positivity of the Wigner and P-functions of a Markovian open system

AU - Diósi, L.

AU - Kiefer, Claus

PY - 2002/3/22

Y1 - 2002/3/22

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037155768&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037155768&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/35/11/312

DO - 10.1088/0305-4470/35/11/312

M3 - Article

AN - SCOPUS:0037155768

VL - 35

SP - 2675

EP - 2683

JO - Journal Physics D: Applied Physics

JF - Journal Physics D: Applied Physics

SN - 0022-3727

IS - 11

ER -