Numerical evidence for approximate consistency and Markovianity of some quantum histories in a class of finite closed spin systems

Autor(en): Schmidtke, Daniel
Gemmer, Jochen 
Stichwörter: DECOHERENCE; DERIVATION; EQUATION; MECHANICS; Physics; Physics, Fluids & Plasmas; Physics, Mathematical
Erscheinungsdatum: 2016
Herausgeber: AMER PHYSICAL SOC
Journal: PHYSICAL REVIEW E
Volumen: 93
Ausgabe: 1
Zusammenfassung: 
Closed quantum systems obey the Schrodinger equation, whereas nonequilibrium behavior of many systems is routinely described in terms of classical, Markovian stochastic processes. Evidently, there are fundamental differences between those two types of behavior. We discuss the conditions under which the unitary dynamics may be mapped onto pertinent classical stochastic processes. This is first principally addressed based on the notions of ``consistency'' and ``Markovianity.'' Numerical data are presented that show that the above conditions are to good approximation fulfilled for Heisenberg-type spin models comprising 12-20 spins. The accuracy to which these conditions are met increases with system size.
ISSN: 15393755
DOI: 10.1103/PhysRevE.93.012125

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