# Many-Body Dynamical Localization in a Kicked Lieb-Liniger Gas

## TL;DR

This paper demonstrates that many-body dynamical localization can persist in an interacting one-dimensional Bose gas, challenging the expectation that interactions always destroy localization in such systems.

## Contribution

It provides evidence that dynamical localization survives in a kicked Lieb-Liniger gas, a significant insight into many-body quantum dynamics.

## Key findings

- Localization persists despite interactions
- Evidence from theoretical modeling
- Challenges conventional wisdom on many-body localization

## Abstract

The kicked rotor system is a textbook example of how classical and quantum dynamics can drastically differ. The energy of a classical particle confined to a ring and kicked periodically will increase linearly in time whereas in the quantum version the energy saturates after a finite number of kicks. The quantum system undergoes Anderson localization in the angular-momentum space. Conventional wisdom says that in a many-particle system with short-range interactions the localization will be destroyed due to the coupling of widely separated momentum states. Here we provide evidence that for an interacting one-dimensional Bose gas, the Lieb-Linger model, the dynamical localization can persist.