Diagonalization of system plus environment Hamiltonians
Statistical Mechanics
2009-10-30 v1
Abstract
A new approach to dissipative quantum systems modelled by a system plus environment Hamiltonian is presented. Using a continuous sequence of infinitesimal unitary transformations the small quantum system is decoupled from its thermodynamically large environment. Dissipation enters through the observation that system observables generically decay completely into a different structure when the Hamiltonian is transformed into diagonal form. The method is particularly suited for studying low-temperature properties. This is demonstrated explicitly for the super-Ohmic spin-boson model.
Keywords
Cite
@article{arxiv.cond-mat/9701123,
title = {Diagonalization of system plus environment Hamiltonians},
author = {Stefan Kehrein and Andreas Mielke},
journal= {arXiv preprint arXiv:cond-mat/9701123},
year = {2009}
}
Comments
4 pages, Latex, uses Revtex