
Andreas Mielke
Institut for Theoretical Physics
RuprechtKarls University
Philosophenweg 19
D69120 Heidelberg
Germany
Tel.: ++49 6221 549431 (Secretary)
Fax: ++49 6221 549331
email:
mielke@tphys.uniheidelberg.de
Stefan Kehrein, Andreas Mielke: Low temperature equilibrium correlation function in dissipative quantum systems
Ann. Physik (Leipzig)6,
90135
(1997)
.
AbstractWe introduce a new theoretical approach to dissipative quantum systems. By means of a continuous sequence of infinitesimal unitary transformations, we decouple the small quantum system that one is interested in from its thermodynamically large environment. This yields a trivial final transformed Hamiltonian. Dissipation enters through the observation that generically observables 'decay' completely under these unitary transformations, i.e. are completely transformed into other terms. As a nontrivial example the spinboson model is discussed in some detail. For the superOhmic bath we obtain a very satisfactory description of short, intermediate and long time scales at small temperatures. This can be tested from the generalized Shibarelation that is fulfilled within numerical errors.
BibTeXentry
@article{Kehrein1997,
author="Stefan Kehrein, Andreas Mielke",
title="Low temperature equilibrium correlation function in dissipative quantum systems",
journal="Ann. Physik (Leipzig)",
volume="6",
pages="90135",
year="1997"
}
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Last changes: 5.7.2018.
mielke@tphys.uniheidelberg.de
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