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Назив: Dynamical emergence of Markovianity in local time scheme
Аутори: Jeknić-Dugić, J.
Arsenijević, Momir
Dugic, Miroljub
Часопис: Proceedings A. Mathematical, physical, and engineering sciences
Датум издавања: 2016
Сажетак: Recently we pointed out the so-called local time scheme as a novel approach to quantum foundations that solves the preferred pointer-basis problem. In this paper, we introduce and analyse in depth a rather non-standard dynamical map that is imposed by the scheme. On the one hand, the map does not allow for introducing a properly defined generator of the evolution nor does it represent a quantum channel. On the other hand, the map is linear, positive, trace preserving and unital as well as completely positive, but is not divisible and therefore non-Markovian. Nevertheless, we provide quantitative criteria for dynamical emergence of time-coarse-grained Markovianity, for exact dynamics of an open system, as well as for operationally defined approximation of a closed or open many-particle system. A closed system never reaches a steady state, whereas an open system may reach a unique steady state given by the Lüders-von Neumann formula; where the smaller the open system, the faster a steady state is attained. These generic findings extend the standard open quantum systems theory and substantially tackle certain cosmological issues.
URI: https://scidar.kg.ac.rs/handle/123456789/17371
Тип: article
DOI: 10.1098/rspa.2016.0041
ISSN: 1364-5021
Налази се у колекцијама:Faculty of Science, Kragujevac

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