Non-Markoffian effects of a simple nonlinear bath

Gassmann, H; Marquardt, F; Bruder, C

doi:10.1103/PhysRevE.66.041111

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Non-Markoffian effects of a simple nonlinear bath

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Gassmann, H., Marquardt, F., & Bruder, C. (2002). Non-Markoffian effects of a simple nonlinear bath. Physical Review E, 66(4): 041111. doi:10.1103/PhysRevE.66.041111.

Cite as: https://hdl.handle.net/21.11116/0000-0001-3058-6

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.