Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics

Description:

This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics.

Creator(s):
Creation Date: August 4, 2009
Partner(s):
UNT College of Arts and Sciences
Collection(s):
UNT Scholarly Works
Usage:
Total Uses: 110
Past 30 days: 11
Yesterday: 0
Creator (Author):
Budini, Adrián A.

Centro Atómico Bariloche; University of North Texas

Creator (Author):
Grigolini, Paolo

University of North Texas, Area della Ricerca di Pisa; Universitá di Pisa

Publisher Info:
Publisher Name: American Physical Society
Place of Publication: [College Park, Maryland]
Date(s):
  • Creation: August 4, 2009
Description:

This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics.

Degree:
Department: Physics
Note:

Copyright 2009 American Physical Society. The following article appeared in Physical Review A, 80:2; http://pra.aps.org/abstract/PRA/v80/i2/e022103

Note:

Abstract: By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored nonstandard statistical properties. The renewal approach is defined by a set of disruptive events, consisting in the action of a completely positive superoperator over the system density matrix. The random time intervals between events are described by an arbitrary waiting-time distribution. We show that, in contrast to the Markovian case, if one performs a system preparation (measurement) at an arbitrary time, the subsequent evolution of the density-matrix evolution is modified. The nonstationary character refers to the absence of an asymptotic master equation even when the preparation is performed at arbitrary long times. In spite of this property, we demonstrate that operator expectation values and operators correlations have the same dynamical structure, establishing the validity of a nonstationary quantum regression hypothesis. The nonstationary property of the dynamics is also analyzed through the response of the system to an external weak perturbation.

Physical Description:

13 p.

Language(s):
Subject(s):
Keyword(s): Markovian | quantum dynamics
Source: Physical Review A, 2009, College Park: American Physical Society
Partner:
UNT College of Arts and Sciences
Collection:
UNT Scholarly Works
Identifier:
  • DOI: 10.1103/PhysRevA.80.022103
  • ARK: ark:/67531/metadc40393
Resource Type: Article
Format: Text
Rights:
Access: Public
Citation:
Publication Title: Physical Review A
Volume: 80
Issue: 2
Pages: 13
Peer Reviewed: Yes