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Title: Geometric phase for open quantum systems and stochastic unravelings

Abstract

We analyze the geometric phase for an open quantum system when computed by resorting to a stochastic unraveling of the reduced density matrix (quantum jump approach or stochastic Schroedinger equations). We show that the resulting phase strongly depends on the type of unraveling used for the calculations: as such, this phase is not a geometric object since it depends on nonphysical parameters, which are not related to the path followed by the density matrix during the evolution of the system.

Authors:
;  [1]
  1. Mathematisches Institut, Universitaet Muenchen, Theresienstrasse 39, 80333 Munich (Germany) and Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste (Italy)
Publication Date:
OSTI Identifier:
20787432
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.73.062104; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; DENSITY MATRIX; EVOLUTION; GEOMETRY; QUANTUM MECHANICS; SCHROEDINGER EQUATION; STOCHASTIC PROCESSES

Citation Formats

Bassi, Angelo, Ippoliti, Emiliano, and Department of Theoretical Physics, University of Trieste, Strada Costiera 11, 34014 Trieste. Geometric phase for open quantum systems and stochastic unravelings. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Bassi, Angelo, Ippoliti, Emiliano, & Department of Theoretical Physics, University of Trieste, Strada Costiera 11, 34014 Trieste. Geometric phase for open quantum systems and stochastic unravelings. United States. https://doi.org/10.1103/PHYSREVA.73.0
Bassi, Angelo, Ippoliti, Emiliano, and Department of Theoretical Physics, University of Trieste, Strada Costiera 11, 34014 Trieste. 2006. "Geometric phase for open quantum systems and stochastic unravelings". United States. https://doi.org/10.1103/PHYSREVA.73.0.
@article{osti_20787432,
title = {Geometric phase for open quantum systems and stochastic unravelings},
author = {Bassi, Angelo and Ippoliti, Emiliano and Department of Theoretical Physics, University of Trieste, Strada Costiera 11, 34014 Trieste},
abstractNote = {We analyze the geometric phase for an open quantum system when computed by resorting to a stochastic unraveling of the reduced density matrix (quantum jump approach or stochastic Schroedinger equations). We show that the resulting phase strongly depends on the type of unraveling used for the calculations: as such, this phase is not a geometric object since it depends on nonphysical parameters, which are not related to the path followed by the density matrix during the evolution of the system.},
doi = {10.1103/PHYSREVA.73.0},
url = {https://www.osti.gov/biblio/20787432}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 73,
place = {United States},
year = {Thu Jun 15 00:00:00 EDT 2006},
month = {Thu Jun 15 00:00:00 EDT 2006}
}