Quantum harmonically kicked environments

In this work we derive a generalized map which describes the time evolution of a quantum system coupled to a quantum environment composed by a finite number of free particles kicked harmonically at periodic times. Dissipation is introduced via the interaction between system and environment, which is...

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Bibliographic Details
Published in:Physica A Vol. 486; pp. 337 - 346
Main Authors: Custódio, M.S., Strunz, W.T., Beims, M.W.
Format: Journal Article
Language:English
Published: Elsevier B.V 15-11-2017
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Summary:In this work we derive a generalized map which describes the time evolution of a quantum system coupled to a quantum environment composed by a finite number of free particles kicked harmonically at periodic times. Dissipation is introduced via the interaction between system and environment, which is switched on and off simultaneously at regular time intervals. The dynamics of the environmental particles occurs along rotated ellipsis in phase space and can be described by unrotated harmonic oscillators with a new frequency which depends on the kicking time. With the definition of a thermal bath we show that our quantum kicked environment induces an unusual fluctuation–dissipation relation. •The effect of quantum kicked environments on an arbitrary system is analyzed.•Kicked environments generate unusual fluctuation–dissipation relation.•Kicking times can be used to contract or expand the difference between energy levels of the environment.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2017.05.094