
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
Andreas Mielke: Diagonalization of Dissipative Quantum Systems I: Exact solution of the SpinBoson Model with an Ohmic bath at $\alpha =1/2$
preprint,
(2000)
.
AbstractThis paper shows how flow equations can be used to diagonalize dissipative quantum systems. Applying a continuous unitary transformation to the spinboson model, one obtains exact flow equations for the Hamiltonian and for an observable. They are solved exactly for the case of an Ohmic bath with a coupling $\alpha =1/2$. Using the explicite expression for the transformed observable one obtains dynamical correlation functions. This yields some new insight to the exactly solvable case $\alpha =1/2$. The main motivation of this work is to demonstrate, how the method of flow equations can be used to treat dissipative quantum systems in a new way. The approach can be used to construct controllable approximation schemes for other environments.
BibTeXentry
@article{Mielke2000,
author="Andreas Mielke",
title="Diagonalization of Dissipative Quantum Systems I: Exact solution of the SpinBoson Model with an Ohmic bath at $\alpha =1/2$",
journal="preprint",
year="2000"
}
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Last changes: 17.6.2018.
mielke@tphys.uniheidelberg.de
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