Real-time Monte-Carlo simulations for dissipative tight-binding systems and time local master equations

TL;DR

This paper extends the path integral Monte Carlo method to simulate real-time dynamics of dissipative quantum systems with continuous and many-body configurations, assessing the applicability of Markovian master equations beyond simple models.

Contribution

It introduces a generalized Monte Carlo approach for complex dissipative systems, enabling analysis of Markovian approximations in more realistic settings.

Findings

Extended PIMC to continuous and many-body systems

Assessed validity of Markovian master equations in complex models

Provided benchmarks for dissipative quantum dynamics simulations

Abstract

The numerically exact path integral Monte Carlo approach for the real-time evolution of dissipative quantum systems (PIMC), particularly suited for systems with discrete configuration space (tight-binding systems), is extended to treat spatially continuous and correlated many-body systems. This way, one has to consider generalized tight-binding lattices with either non-equidistant spacing or in higher dimensions, which in turn allows to analyze to what extent Markovian master equations can be applied beyond the usually studied spin-boson type of models.