Monodromy and chaos for condensed bosons in optical lattices

2018/10/31 by Geva Arwas, Doron Cohen · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #nlin.CD #quant-ph

paper · pdf · doi:10.1103/physreva.99.023625

published as Phys. Rev. A 99, 023625 (2019)

arxiv created 2019/02/27 · arxiv updated 2019/03/06

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.

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