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Particles 2018, 1(1), 285-295; https://doi.org/10.3390/particles1010023

Energy Conservation and the Correlation Quasi-Temperature in Open Quantum Dynamics

1
MIREA-Russian Technological University, Vernadsky Av. 78, 119454 Moscow, Russia
2
Institute for Condensed Matter Physics, Svientsitskii Str. 1, 79011 Lviv, Ukraine
*
Author to whom correspondence should be addressed.
Received: 25 October 2018 / Revised: 20 November 2018 / Accepted: 27 November 2018 / Published: 30 November 2018
(This article belongs to the Special Issue Nonequilibrium Phenomena in Strongly Correlated Systems)
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Abstract

The master equation for an open quantum system is derived in the weak-coupling approximation when the additional dynamical variable—the mean interaction energy—is included into the generic relevant statistical operator. This master equation is nonlocal in time and involves the “quasi-temperature”, which is a non- equilibrium state parameter conjugated thermodynamically to the mean interaction energy of the composite system. The evolution equation for the quasi-temperature is derived using the energy conservation law. Thus long-living dynamical correlations, which are associated with this conservation law and play an important role in transition to the Markovian regime and subsequent equilibration of the system, are properly taken into account. View Full-Text
Keywords: open quantum system; master equation; non-equilibrium statistical operator; relevant statistical operator; quasi-temperature; dynamic correlations open quantum system; master equation; non-equilibrium statistical operator; relevant statistical operator; quasi-temperature; dynamic correlations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Morozov, V.; Ignatyuk, V. Energy Conservation and the Correlation Quasi-Temperature in Open Quantum Dynamics. Particles 2018, 1, 285-295.

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