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

L. Diósi, Claus Kiefer

Research output: Contribution to journalArticle

37 Citations (Scopus)

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 languageEnglish
Pages (from-to)2675-2683
Number of pages9
JournalJournal of Physics A: Mathematical and General
Volume35
Issue number11
DOIs
Publication statusPublished - Mar 22 2002

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Decoherence
Open systems
Open Systems
Positivity
dials
Wigner Function
Strictly positive
Density Matrix
Master Equation
Quantum State
Decomposable
theorems
Theorem

ASJC Scopus subject areas

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

Cite this

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

In: Journal of Physics A: Mathematical and General, Vol. 35, No. 11, 22.03.2002, p. 2675-2683.

Research output: Contribution to journalArticle

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