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Pathway to chaos through hierarchical superfluidity in blue-detuned cavity-BEC systems

Rui Lin, Paolo Molignini, Axel U. J. Lode, and R. Chitra
Phys. Rev. A 101, 061602(R) – Published 30 June 2020
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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 beyond-mean-field many-body approach, 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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  • Received 8 October 2019
  • Revised 25 May 2020
  • Accepted 28 May 2020

DOI:https://doi.org/10.1103/PhysRevA.101.061602

©2020 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Rui Lin1, Paolo Molignini1,2, Axel U. J. Lode3, and R. Chitra1

  • 1Institute for Theoretical Physics, ETH Zurich, 8093 Zurich, Switzerland
  • 2Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom
  • 3Institute of Physics, Albert-Ludwig University of Freiburg, Hermann-Herder-Straße 3, 79104 Freiburg, Germany

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Issue

Vol. 101, Iss. 6 — June 2020

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