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Monodromy and chaos for condensed bosons in optical lattices


  Geva Arwas [1,2]  ,  Doron Cohen [1]  
 [1] Department of Physics, Ben-Gurion University of the Negev
[2] Department of Physics of Complex Systems, Weizmann Institute of Science

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.