Chaos and bi-partite entanglement between Bose-Joephson junctions
- URL: http://arxiv.org/abs/2208.08192v1
- Date: Wed, 17 Aug 2022 09:59:44 GMT
- Title: Chaos and bi-partite entanglement between Bose-Joephson junctions
- Authors: Amichay Vardi
- Abstract summary: The entanglement between two bosonic Josephson junctions is studied in relation to the classical mixed phasespace structure of the system.
The symmetry-resolved entanglement spectrum and bi-partite entanglement entropy of the system's energy eigenstates are calculated.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The entanglement between two weakly coupled bosonic Josephson junctions is
studied in relation to the classical mixed phasespace structure of the system,
containing symmetry-related regular islands separated by chaos. The
symmetry-resolved entanglement spectrum and bi-partite entanglement entropy of
the system's energy eigenstates are calculated and compared to their expected
structure for random states that exhibit complete or partial ergodicity. The
entanglement spectra of chaos-supported eigenstates match the microcanonical
structure of a Generalized Gibbs Ensemble due to the existence of an adiabatic
invariant that restricts ergodization on the energy shell. The
symmetry-resolved entanglement entropy of these quasistochastic states consists
of a mean-field maximum entanglement term and a fluctuation correction due to
the finite size of the constituent subsystems. The total bi-partite
entanglement entropy of the eigenstates correlates with their chaoticity.
Island-supported eigenstates are macroscopic Schr\"odinger cat states for
particles and excitations, with substantially lower entanglement.
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