Real-Time-RG Analysis of the Dynamics of the Spin-Boson Model

Details Real-Time-RG Analysis of the Dynamics of the Spin-Boson Model Real-Time-RG Analysis of the Dynamics of the Spin-Boson Model

2000-11-02

arxiv.org/abs/cond-mat/0011051v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, 1 table

Scientific paper

10.1103/PhysRevB.63.180302

Using a real-time renormalization group method we determine the complete dynamics of the spin-boson model with ohmic dissipation for coupling strengths $\alpha\lesssim 0.1-0.2$. We calculate the relaxation and dephasing time, the static susceptibility and correlation functions. Our results are consistent with quantum Monte Carlo simulations and the Shiba relation. We present for the first time reliable results for finite cutoff and finite bias in a regime where perturbation theory in $\alpha$ or in tunneling breaks down. Furthermore, an unambigious comparism to results from the Kondo model is achieved.

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