Flow equation renormalization of a spin-boson model with a structured bath

Abstract

We discuss the dynamics of a spin coupled to a damped harmonic oscillator. This system can be mapped to a spin-boson model with a structured bath, i.e. the spectral function of the bath has a resonance peak. We diagonalize the model by means of infinitesimal unitary transformations (flow equations), thereby decoupling the small quantum system from its environment, and calculate spin-spin correlation functions.

2 pages, to be published in Physica E, proceedings of the LT 2002

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• Dissipative dynamics of a qubit coupled to a nonlinear oscillator
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