Monodromy and chaos for condensed bosons in optical lattices

Geva Arwas; Doron Cohen

doi:10.1103/PhysRevA.99.023625

Monodromy and chaos for condensed bosons in optical lattices

Geva Arwas, Doron Cohen

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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 separatrices in phase space.

Original language	English
Article number	023625
Journal	Physical Review A
Volume	99
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.99.023625
State	Published - 25 Feb 2019

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.99.023625

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title = "Monodromy and chaos for condensed bosons 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 separatrices in phase space.",

author = "Geva Arwas and Doron Cohen",

note = "Funding Information: This research was supported by the Israel Science Foundation (Grant No. 283/18). APPENDIX A: Publisher Copyright: {\textcopyright} 2019 American Physical Society.",

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AB - 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 separatrices in phase space.

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Monodromy and chaos for condensed bosons in optical lattices

Abstract

ASJC Scopus subject areas

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