Monodromy and chaos for condensed bosons in optical lattices

TL;DR

This paper develops a theoretical framework combining monodromy and chaos theory to understand the stability and decay of condensates in optical lattices, highlighting how chaotic pathways lead to depletion.

Contribution

It introduces a novel approach linking monodromy and chaos theory to analyze condensate stability and decay mechanisms in optical lattices.

Findings

Condensate decay occurs via chaotic pathways involving separatrix swaps.

The stability-to-ergodicity transition is governed by monodromy-chaos interactions.

Chaotic pathways facilitate condensate depletion in optical lattices.

Abstract

We introduce a theory for the stability of a condensate in an optical lattice. We show that the understanding of the stability-to-ergodicity transition involves the fusion of monodromy and chaos theory. Specifically, the condensate can decay if a connected chaotic pathway to depletion is formed, which requires swap of seperatrices in phase-space.