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29 March 2024
 
  » arxiv » 1309.4366

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Markovian evolution of strongly coupled harmonic oscillators
C. Joshi ; P.Ohberg ; J. D. Cresser ; E. Andersson ;
Date 17 Sep 2013
AbstractWe investigate the Markovian evolution of strongly coupled harmonic oscillators. The unitary evolution of linearly coupled harmonic oscillators can be described analytically, but a complete picture of the dynamics should also take into account the irreversible system-environment coupling. In the present work we provide an explicit derivation of the master equation for two strongly coupled harmonic oscillators which are subject to individual heat baths modelled by a collection of harmonic oscillators. We compare the results with the evolution obtained by phenomenologically introducing dissipation using local Lindblad terms for each individual oscillator, and discuss the validity of such a model, together with the effect it has on the entanglement between the oscillators.
Source arXiv, 1309.4366
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