Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Apr;81(4):041114. doi: 10.1103/PhysRevE.81.041114. Epub 2010 Apr 15.

Dissipative dynamics with trapping in dimers.

Physical review. E, Statistical, nonlinear, and soft matter physics

Oliver Mülken, Lothar Mühlbacher, Tobias Schmid, Alexander Blumen

PMID: 20481684 DOI: 10.1103/PhysRevE.81.041114

Abstract

The trapping of excitations in systems coupled to an environment allows one to study the quantum to classical crossover by different means. We show how to combine the phenomenological description by a non-Hermitian Liouville-von Neumann equation (LvNE) approach with the numerically exact path integral Monte Carlo (PIMC) method, and exemplify our results for a system of two coupled two-level systems. By varying the strength of the coupling to the environment we are able to estimate the parameter range in which the LvNE approach yields satisfactory results. Moreover, by matching the PIMC results with the LvNE calculations, we have a powerful tool to extrapolate the numerically exact PIMC method to long times.

Publication Types

• Journal Article
• Research Support, Non-U.S. Gov't