# Many-body interband tunneling as a witness for complex dynamics in the Bose-Hubbard model

## TL;DR

This paper presents a perturbative model for many-body interband tunneling in ultracold atoms, offering an experimentally accessible way to detect the transition from regular to chaotic dynamics in the Bose-Hubbard model.

## Contribution

It introduces a novel tunneling rate distribution method as a signature of the regular-chaotic transition in strongly correlated many-body systems.

## Key findings

- Tunneling rate distributions indicate the regular-chaotic transition.
- The model mimics Landau-Zener decay in optical lattices.
- Experimental signatures of complex many-body dynamics are identified.

## Abstract

A perturbative model is studied for the tunneling of many-particle states from the ground band to the first excited energy band, mimicking Landau-Zener decay for ultracold, spinless atoms in quasi-one dimensional optical lattices subjected to a tunable tilting force. The distributions of the computed tunneling rates provide an independent and experimentally accessible signature of the regular-chaotic transition in the strongly correlated many-body dynamics of the ground band.