# Scrambled Mean Field Approach to the Quantum Dynamics of Degenerate Bose Gases

## TL;DR

This paper introduces a new method for modeling the quantum dynamics of degenerate Bose gases that extends beyond traditional mean field approaches, capturing phenomena like coherence collapse with simplified equations.

## Contribution

It develops a scrambled mean field approach using a multimode coherent-state ansatz that accurately models quantum effects beyond the Gross--Pitaevskii equation.

## Key findings

- Captures coherence collapse in Bose gases
- Provides equations simpler than traditional many-body methods
- Extends modeling capabilities beyond mean field approximation

## Abstract

We present a novel approach to modeling dynamics of trapped, degenerate, weakly interacting Bose gases beyond the mean field limit. We transform a many-body problem to the interaction representation with respect to a suitably chosen part of the Hamiltonian and only then apply a multimode coherent-state ansatz. The obtained equations are almost as simple as the Gross--Pitaevskii equation, but our approach captures essential features of the quantum dynamics such as the collapse of coherence.