Non-Markoffian effects of a simple nonlinear bath

Details Non-Markoffian effects of a simple nonlinear bath Non-Markoffian effects of a simple nonlinear bath

2002-04-17

arxiv.org/abs/cond-mat/0204372v1

Phys. Rev. E 66, 041111 (2002)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevE.66.041111

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 spin's z-component. 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.

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