Minimal coupling in oscillator models of quantum dissipation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2013Embargo end date: 01 Jan 2012 English Publisher:Elsevier BVJournal:Physica A: Statistical Mechanics and its Applications, volume 392, pages 1,989-1,993 (issn: 0378-4371,

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Authors: Kohler, Heiner; Sols, Fernando;

doi: 10.1016/j.physa.2013.01.019 , 10.48550/arxiv.1203.6804

arXiv: 1203.6804

handle: 10261/178354

Minimal coupling in oscillator models of quantum dissipation

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Abstract

The dissipative harmonic oscillator has two representations. In the first representation the central oscillator couples with its position to an oscillator bath. In the second one it couples with its momentum to the bath. Both representations are related by a unitary transformation. If the central oscillator couples with its position and momentum to two independent baths, no such unitary transformation exists. We discuss two possible models of this type and their physical relevance.

Related Organizations

Instituto de Ciencia de Materiales de Madrid
Spain
Spanish National Research Council
Spain
Complutense University of Madrid
Spain

Keywords

Quantum dissipation, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), Harmonic oscillator, Anomalous dissipation, FOS: Physical sciences, Quantum Physics (quant-ph), Quantum frustration, Condensed Matter - Statistical Mechanics

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