Non-Markovian effects in quantum system: an exact stochastic mean-field treatment

TL;DR

This paper introduces an exact stochastic mean-field approach using quantum Monte Carlo to model quantum systems with memory effects, specifically applied to fusion and fission processes involving inverted harmonic potentials.

Contribution

It presents a novel quantum Monte Carlo method that accurately incorporates non-Markovian memory effects in quantum fluctuation and dissipation dynamics.

Findings

Effective modeling of fusion/fission with memory effects

Application to inverted harmonic potential systems

Demonstration of the method's accuracy

Abstract

A quantum Monte-Carlo is proposed to describe fusion/fission processes when fluctuation and dissipation, with memory effects, are important. The new theory is illustrated for systems with inverted harmonic potentials coupled to a heat-bath.