Low temperature equilibrium correlation functions in dissipative quantum systems

Details Low temperature equilibrium correlation functions in dissipative quantum systems Low temperature equilibrium correlation functions in dissipative quantum systems

1996-07-23

arxiv.org/abs/cond-mat/9607160v2

Physics

Condensed Matter

38 pages, LaTeX2e, seven postscript figures included, figure 8 is available on request from one of the authors (A.M.). The rev

Scientific paper

10.1002/andp.19975090203

We 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 spin-boson model is discussed in some detail. For the super-Ohmic bath we obtain a very satisfactory description of short, intermediate and long time scales at small temperatures. This can be tested from the generalized Shiba-relation that is fulfilled within numerical errors.

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