Abstract
This paper presents the results of stationary-phase Monte Carlo simulations for the dynamics of the spin-boson problem. The problem of alternating weights ubiquitous in dynamical simulations has been solved using discretized path-integral simulations in conjunction with stationary-phase filtering techniques. Our computation covers the bulk of the parameter space, including non-zero bias and frequency-dependent dissipation. Besides a comparison with analytic predictions, we present some new results. For sub-Ohmic dissipation, the dynamics at low temperatures depends significantly on the initial preparation. In the Ohmic regime 1/2<K<1, whereK is Kondo's dimensionless coupling strength, we find significant deviations from the predictions of the non-interacting blip approximation at long times and low temperatures.
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Egger, R., Weiss, U. Quantum Monte Carlo simulation of the dynamics of the spin-boson model. Z. Physik B - Condensed Matter 89, 97–107 (1992). https://doi.org/10.1007/BF01320834
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DOI: https://doi.org/10.1007/BF01320834