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Title: Entanglement dynamics of nonidentical oscillators under decohering environments

Abstract

We study the evolution of entanglement for a pair of coupled nonidentical harmonic oscillators in contact with an environment. For both cases of a common bath and of two separate baths for each of the oscillators, a full master equation is provided without rotating-wave approximation. The entanglement dynamics is analyzed as a function of the diversity between the oscillators' frequencies and their positive or negative mutual coupling and also the correlation between the occupation numbers. The singular effect of the resonance condition (identical oscillators) and its relationship with the possibility of preserving asymptotic entanglement are discussed. The importance of the bath's memory properties is investigated by comparing Markovian and non-Markovian evolutions.

Authors:
; ;  [1]
  1. IFISC (UIB-CSIC), Instituto de Fisica Interdisciplinar y Sistemas Complejos, UIB Campus, E-07122 Palma de Mallorca (Spain)
Publication Date:
OSTI Identifier:
21407899
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 81; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.81.062117; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; APPROXIMATIONS; ASYMPTOTIC SOLUTIONS; CORRELATIONS; COUPLING; EQUATIONS; EVOLUTION; FUNCTIONS; HARMONIC OSCILLATORS; MARKOV PROCESS; OSCILLATORS; QUANTUM ENTANGLEMENT; RESONANCE; CALCULATION METHODS; ELECTRONIC EQUIPMENT; EQUIPMENT; MATHEMATICAL SOLUTIONS; STOCHASTIC PROCESSES

Citation Formats

Galve, Fernando, Giorgi, Gian Luca, and Zambrini, Roberta. Entanglement dynamics of nonidentical oscillators under decohering environments. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.81.062117.
Galve, Fernando, Giorgi, Gian Luca, & Zambrini, Roberta. Entanglement dynamics of nonidentical oscillators under decohering environments. United States. https://doi.org/10.1103/PHYSREVA.81.062117
Galve, Fernando, Giorgi, Gian Luca, and Zambrini, Roberta. 2010. "Entanglement dynamics of nonidentical oscillators under decohering environments". United States. https://doi.org/10.1103/PHYSREVA.81.062117.
@article{osti_21407899,
title = {Entanglement dynamics of nonidentical oscillators under decohering environments},
author = {Galve, Fernando and Giorgi, Gian Luca and Zambrini, Roberta},
abstractNote = {We study the evolution of entanglement for a pair of coupled nonidentical harmonic oscillators in contact with an environment. For both cases of a common bath and of two separate baths for each of the oscillators, a full master equation is provided without rotating-wave approximation. The entanglement dynamics is analyzed as a function of the diversity between the oscillators' frequencies and their positive or negative mutual coupling and also the correlation between the occupation numbers. The singular effect of the resonance condition (identical oscillators) and its relationship with the possibility of preserving asymptotic entanglement are discussed. The importance of the bath's memory properties is investigated by comparing Markovian and non-Markovian evolutions.},
doi = {10.1103/PHYSREVA.81.062117},
url = {https://www.osti.gov/biblio/21407899}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 81,
place = {United States},
year = {Tue Jun 15 00:00:00 EDT 2010},
month = {Tue Jun 15 00:00:00 EDT 2010}
}