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arXiv · 1910.01143

Pathway to chaos through hierarchical superfluidity in a cavity-BEC system

Rui Lin·Paolo Molignini·Axel U. J. Lode·R. Chitra
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Abstract

We explore the role of atomic correlations in a harmonically trapped Bose-Einstein condensate coupled to a dissipative cavity, where both the atoms and the cavity are blue detuned from the external pumping laser. Using a genuine many-body approach that goes beyond mean-field, we extract density distributions and many-body correlations to unveil a pathway to chaos at large pump power through a hierarchical self-organization of the atoms, where the atoms transition from a single-well optical lattice to a double-well optical lattice. Correlated states of the atoms emerge and are characterized by local superfluid correlations in phases which are globally superfluid or Mott insulating. Local superfluid-Mott transitions are precluded by a dynamical instability to chaos which occurs via quasiperiodic attractors. Our results explain the mechanism behind the dynamical instabilities observed in experiments.

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Rui Lin, Paolo Molignini, Axel U. J. Lode, R. Chitra. 2019-10-02. Pathway to chaos through hierarchical superfluidity in a cavity-BEC system. https://doi.org/10.1103/physreva.101.061602

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