Non-Markoffian effects of a simple nonlinear bath

Hanno Gassmann, Florian Marquardt, and C. Bruder
Phys. Rev. E 66, 041111 – Published 24 October 2002
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Abstract

We analyze a model of a nonlinear bath consisting of a single two-level system coupled to a linear bath (a classical noise force in the limit considered here). This allows us to study the effects of a nonlinear, non-Markoffian bath in a particularly simple situation. We analyze the effects of this bath onto the dynamics of a spin by calculating the decay of the equilibrium correlator of the z-component of the spin. The exact results are compared with those obtained using three commonly used approximations: a Markoffian master equation for the spin dynamics, a weak-coupling approximation, and the substitution of a linear bath for the original nonlinear bath.

  • Received 29 April 2002

DOI:https://doi.org/10.1103/PhysRevE.66.041111

©2002 American Physical Society

Authors & Affiliations

Hanno Gassmann*, Florian Marquardt, and C. Bruder

  • Department of Physics and Astronomy, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland

  • *Electronic address: Hanno.Gassmann@unibas.ch

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Vol. 66, Iss. 4 — October 2002

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