Dissipative Dynamics with Trapping in Dimers

TL;DR

This paper combines a phenomenological non-Hermitian LvNE approach with the exact PIMC method to analyze excitation trapping in dimers, providing a practical way to study quantum-classical crossover and extend long-time predictions.

Contribution

It introduces a combined LvNE and PIMC approach for analyzing dissipative dynamics in dimers, enabling accurate long-time extrapolations and parameter range estimation.

Findings

LvNE yields accurate results within certain coupling ranges

Matching LvNE with PIMC extends long-time predictions

Method provides insights into quantum to classical crossover

Abstract

The trapping of excitations in systems coupled to an environment allows 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.