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arXiv:1203.6804 · Physica A Statistical Mechanics and its Applications

Minimal coupling in oscillator models of quantum dissipation

Heiner Kohler, Fernando Sols

Published Jan 11, 2013• 14 citations
arXivHTMLPDF
DOI
10.1016/j.physa.2013.01.019

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We consider a resistance element (R) as an environment of an LC circuit, which is treated as the main system modeled by a Hamiltonian containing an oscillator with a continuous range of frequencies. Using a minimal coupling method which is appropriate for dissipative quantum systems, we investigate the quantum dynamics of this system. The Heisenberg equation for such a dissipative system contains a dissipative term proportional to Ohmic damping. Some transition probabilities indicating the way energy flows between the subsystems are obtained.