Diagonalization of system plus environment Hamiltonians

Details Diagonalization of system plus environment Hamiltonians Diagonalization of system plus environment Hamiltonians

1997-01-17

arxiv.org/abs/cond-mat/9701123v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, Latex, uses Revtex

Scientific paper

10.1023/A:1023289323069

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.

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