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

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.022111· OSTI ID:21448438

Ban, Masashi; Kitajima, Sachiko ^[1]; Shibata, Fumiaki ^[1]

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1. Graduate School of Humanities and Sciences, Ochanomizu University, 2-1-1 Ohtsuka, Bunkyo-ku, Tokyo 112-8610 (Japan)

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.

• OSTI ID: 21448438
• Journal Information: Physical Review. A, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevA.82.022111; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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