Long-time memory in non-Markovian evolutions

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.032101· OSTI ID:21408362

Chruscinski, Dariusz ^[1]; Kossakowski, Andrzej ^[1]; Pascazio, Saverio ^[2]

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1. Institute of Physics, Nicolaus Copernicus University GrudziaPdzka 5/7, PL-87-100 Torun (Poland)
2. Dipartimento di Fisica, Universita di Bari, I-70126 Bari (Italy) and Istituto Nazionale di Fisica Nucleare, Sezione di Bari, I-70126 Bari (Italy)

If the dynamics of an open quantum system is non-Markovian, its asymptotic state strongly depends on the initial conditions, even if the dynamics possesses an invariant state. This is the very essence of memory effects. In particular, the asymptotic state can remember and partially preserve its initial entanglement. Interestingly, even if the non-Markovian evolution relaxes to an equilibrium state, this state needs not be invariant. Therefore, the noninvariance of equilibrium becomes a clear sign of non-Markovianity.

• OSTI ID: 21408362
• Journal Information: Physical Review. A, Vol. 81, Issue 3; Other Information: DOI: 10.1103/PhysRevA.81.032101; (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
ASYMPTOTIC SOLUTIONS
EQUILIBRIUM
EVOLUTION
MARKOV PROCESS
QUANTUM ENTANGLEMENT
MATHEMATICAL SOLUTIONS
STOCHASTIC PROCESSES