# Many-body localization in continuum systems: two-dimensional bosons

## TL;DR

This paper shows that two-dimensional weakly interacting bosons can remain localized in disordered systems at low temperatures, with stability depending on energy distribution and disorder strength, relevant for cold atom experiments.

## Contribution

It demonstrates the stability of many-body localization in 2D bosonic systems and identifies conditions under which localization persists at finite temperatures.

## Key findings

- Localization stable at low temperatures in 2D bosons
- High-energy particles can destroy localization above a critical temperature
- Truncating high-energy states can maintain localization at any temperature

## Abstract

We demonstrate that many-body localization of two-dimensional weakly interacting bosons in disorder remains stable in the thermodynamic limit at sufficiently low temperatures. Highly energetic particles destroy the localized state only above a critical temperature, which increases with the strength of the disorder. If the particle distribution is truncated at high energies, as it does for cold atom systems, the localization can be stable at any temperature.