Driven Bose-Hubbard dimer under nonlocal dissipation: A bistable time crystal. (arXiv:1901.04438v3 [quant-ph] UPDATED)

We investigate the critical behavior of the open coherently-driven
Bose-Hubbard dimer under nonlocal dissipation. A conserved quantity arises from
the nonlocal nature of the dissipation, rendering the dimer multistable. In the
weak-coupling semiclassical limit, the displayed criticality takes the form of
amplitude bistability and breaking of spatial and temporal symmetries. A
period-bistable time crystal is formed, consisting of Josephson-like
oscillations. Mean-field dynamics and quantum trajectories complement the
spectral analysis of the Liouvillian in the approach to the semiclassical
limit.

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