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Lindbladian operators, von Neumann entropy and energy conservation in time-dependent quantum open systems

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dc.contributor.author Ou C.
dc.contributor.author Chamberlin R.
dc.contributor.author Abe S.
dc.date.accessioned 2018-09-19T20:33:26Z
dc.date.available 2018-09-19T20:33:26Z
dc.date.issued 2017
dc.identifier.issn 0378-4371
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/143015
dc.description.abstract © 2016 Elsevier B.V.The Lindblad equation is widely employed in studies of Markovian quantum open systems. Here, the following question is posed: in a quantum open system with a time-dependent Hamiltonian such as a subsystem in contact with the heat bath, what is the corresponding Lindblad equation for the quantum state that keeps the internal energy of the subsystem constant in time? This issue is of importance in realizing quasi-stationary states of open systems such as quantum circuits and batteries. As an illustrative example, the time-dependent harmonic oscillator is analyzed. It is shown that the Lindbladian operator is uniquely determined with the help of a Lie-algebraic structure, and the time derivative of the von Neumann entropy is shown to be nonnegative if the curvature of the harmonic potential monotonically decreases in time.
dc.relation.ispartofseries Physica A: Statistical Mechanics and its Applications
dc.subject Conservation of internal energy
dc.subject Lindblad equation
dc.subject Quantum dissipative systems
dc.subject von Neumann entropy
dc.title Lindbladian operators, von Neumann entropy and energy conservation in time-dependent quantum open systems
dc.type Article
dc.relation.ispartofseries-volume 466
dc.collection Публикации сотрудников КФУ
dc.relation.startpage 450
dc.source.id SCOPUS03784371-2017-466-SID84991258764


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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