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Title: Relaxation process of quantum system: Stochastic Liouville equation and initial correlation

Abstract

Time evolution of a quantum system which is influenced by a stochastically fluctuating environment is studied by means of the stochastic Liouville equation. The two different types of the stochastic Liouville equation and their relation are discussed. The stochastic Liouville equation is shown to be derived from the quantum master equation of the Lindblad under certain conditions. Relaxation processes of single and bipartite quantum systems which are initially correlated with a stochastic environment are investigated. It is shown the possibility that the stochastic fluctuation can create coherence and entanglement of a quantum system with the assistance of the initial correlation. The results are examined in the pure dephasing processes of qubits, which are caused by the nonstationary Gauss-Markov process and two-state jump Markov process.

Authors:
;  [1];  [1]
  1. Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610 (Japan)
Publication Date:
OSTI Identifier:
21448438
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 82; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.82.022111; (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; 74 ATOMIC AND MOLECULAR PHYSICS; BOLTZMANN-VLASOV EQUATION; CORRELATIONS; ENERGY LEVELS; FLUCTUATIONS; MARKOV PROCESS; QUANTUM ENTANGLEMENT; QUANTUM STATES; QUBITS; RELAXATION; TIME DEPENDENCE; DIFFERENTIAL EQUATIONS; EQUATIONS; INFORMATION; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM INFORMATION; STOCHASTIC PROCESSES; VARIATIONS

Citation Formats

Ban, Masashi, Kitajima, Sachiko, Shibata, Fumiaki, and International Christian University, Mitaka, Tokyo 181-8585. Relaxation process of quantum system: Stochastic Liouville equation and initial correlation. United States: N. p., 2010. Web. doi:10.1103/PHYSREVA.82.022111.
Ban, Masashi, Kitajima, Sachiko, Shibata, Fumiaki, & International Christian University, Mitaka, Tokyo 181-8585. Relaxation process of quantum system: Stochastic Liouville equation and initial correlation. United States. https://doi.org/10.1103/PHYSREVA.82.022111
Ban, Masashi, Kitajima, Sachiko, Shibata, Fumiaki, and International Christian University, Mitaka, Tokyo 181-8585. 2010. "Relaxation process of quantum system: Stochastic Liouville equation and initial correlation". United States. https://doi.org/10.1103/PHYSREVA.82.022111.
@article{osti_21448438,
title = {Relaxation process of quantum system: Stochastic Liouville equation and initial correlation},
author = {Ban, Masashi and Kitajima, Sachiko and Shibata, Fumiaki and International Christian University, Mitaka, Tokyo 181-8585},
abstractNote = {Time evolution of a quantum system which is influenced by a stochastically fluctuating environment is studied by means of the stochastic Liouville equation. The two different types of the stochastic Liouville equation and their relation are discussed. The stochastic Liouville equation is shown to be derived from the quantum master equation of the Lindblad under certain conditions. Relaxation processes of single and bipartite quantum systems which are initially correlated with a stochastic environment are investigated. It is shown the possibility that the stochastic fluctuation can create coherence and entanglement of a quantum system with the assistance of the initial correlation. The results are examined in the pure dephasing processes of qubits, which are caused by the nonstationary Gauss-Markov process and two-state jump Markov process.},
doi = {10.1103/PHYSREVA.82.022111},
url = {https://www.osti.gov/biblio/21448438}, journal = {Physical Review. A},
issn = {1050-2947},
number = 2,
volume = 82,
place = {United States},
year = {Sun Aug 15 00:00:00 EDT 2010},
month = {Sun Aug 15 00:00:00 EDT 2010}
}