Non-Markovian Dissipative Semiclassical Dynamics

TL;DR

This paper introduces a combined stochastic and semiclassical method to accurately simulate non-Markovian dissipative quantum dynamics in anharmonic potentials, especially effective at moderate friction and low temperatures.

Contribution

It presents a novel approach that merges stochastic decomposition with semiclassical initial value formalism to improve long-time dissipative quantum simulations.

Findings

Accurately describes dissipative dynamics over many oscillations.

Effective in regimes with moderate friction and low temperatures.

Avoids convergence issues common in full quantum methods.

Abstract

The exact stochastic decomposition of non-Markovian dissipative quantum dynamics is combined with the time-dependent semiclassical initial value formalism. It is shown that even in the challenging regime of moderate friction and low temperatures, where non-Markovian effects are substantial, this approach allows for the accurate description of dissipative dynamics in anharmonic potentials over many oscillation periods until thermalization is reached. The problem of convergence of the stochastic average at long times, which plagues full quantum mechanical implementations, is avoided through a joint sampling of the stochastic noise and the semiclassical phase space distribution.