Many-body quantum state diffusion for non-Markovian dynamics in strongly interacting systems

TL;DR

This paper introduces a novel approach combining non-Markovian quantum state diffusion with tensor networks to simulate complex non-Markovian dynamics in strongly interacting many-body quantum systems, revealing regimes of enhanced correlation spreading.

Contribution

It presents a new method integrating non-Markovian quantum state diffusion with tensor networks for simulating strongly interacting open quantum systems.

Findings

Non-Markovian effects can enhance correlation growth in many-body systems.

The approach accurately models dissipative dynamics in a Hubbard-Holstein model.

Potential applications in solid state and cold atom experiments.

Abstract

Capturing non-Markovian dynamics of open quantum systems is generally a challenging problem, especially for strongly-interacting many-body systems. In this work, we combine recently developed non-Markovian quantum state diffusion techniques with tensor network methods to address this challenge. As a first example, we explore a Hubbard-Holstein model with dissipative phonon modes, where this new approach allows us to quantitatively assess how correlations spread in the presence of non-Markovian dissipation in a 1D many-body system. We find regimes where correlation growth can be enhanced by these effects, offering new routes for dissipatively enhancing transport and correlation spreading, relevant for both solid state and cold atom experiments.