# Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations

## TL;DR

This paper investigates the complex dynamics of trapped interacting quantum particles under a Stark potential, revealing a mix of localization and thermalization behaviors, with analytic solutions at integrable points and decoherence analysis away from them.

## Contribution

It provides new analytic solutions for initial trapped quantum systems at integrable limits and explains the decoherence of Bloch oscillations in non-integrable regimes.

## Key findings

- Analytic solutions for integrable limits of fermions and bosons.
- Identification of the decoherence time scale for Bloch oscillations.
- Demonstration of mixed localization and thermalization features.

## Abstract

We analyze the dynamics of an initially trapped cloud of interacting quantum particles on a lattice under a linear (Stark) potential. We reveal a dichotomy: initially trapped interacting systems possess features typical of both many-body-localized and self-thermalizing systems. We consider both fermions ($t$-$V$ model) and bosons (Bose-Hubbard model). For the zero and infinite interaction limits, both systems are integrable: we provide analytic solutions in terms of the moments of the initial cloud shape, and clarify how the recurrent dynamics (many-body Bloch oscillations) depends on the initial state. Away from the integrable points, we identify and explain the time scale at which Bloch oscillations decohere.