Equilibrium Correlation Functions of the Spin-Boson Model with Sub-Ohmic Bath

Details Equilibrium Correlation Functions of the Spin-Boson Model with Sub-Ohmic Bath Equilibrium Correlation Functions of the Spin-Boson Model with Sub-Ohmic Bath

2002-07-17

arxiv.org/abs/cond-mat/0207414v2

Phys. Lett. A 305, 275-280 (2002)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1016/S0375-9601(02)01416-0

The spin-boson model is studied by means of flow equations for Hamiltonians. Our truncation scheme includes all coupling terms which are linear in the bosonic operators. Starting with the canonical generator $\eta_c=[H_0,H]$ with $H_0$ resembling the non-interacting bosonic bath, the flow equations exhibit a universal attractor for the Hamiltonian flow. This allows to calculate equilibrium correlation functions for super-Ohmic, Ohmic and sub-Ohmic baths within a uniform framework including finite bias.

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