Pathway to chaos through hierarchical superfluidity in a cavity-BEC system
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.
Keywords
Cite
@article{arxiv.1910.01143,
title = {Pathway to chaos through hierarchical superfluidity in a cavity-BEC system},
author = {Rui Lin and Paolo Molignini and Axel U. J. Lode and R. Chitra},
journal= {arXiv preprint arXiv:1910.01143},
year = {2020}
}
Comments
14 pages, 9 figures (including 7 pages, 5 figures in the supplementary material)