Non-Abelian symmetry can increase entanglement entropy
- URL: http://arxiv.org/abs/2209.14303v2
- Date: Tue, 3 Jan 2023 19:00:00 GMT
- Title: Non-Abelian symmetry can increase entanglement entropy
- Authors: Shayan Majidy, Aleksander Lasek, David A. Huse, Nicole Yunger Halpern
- Abstract summary: We quantify the effects of charges' noncommutation on Page curves.
We show analytically and numerically that the noncommuting-charge case has more entanglement.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The pillars of quantum theory include entanglement and operators' failure to
commute. The Page curve quantifies the bipartite entanglement of a many-body
system in a random pure state. This entanglement is known to decrease if one
constrains extensive observables that commute with each other (Abelian
``charges''). Non-Abelian charges, which fail to commute with each other, are
of current interest in quantum thermodynamics. For example, noncommuting
charges were shown to reduce entropy-production rates and may enhance
finite-size deviations from eigenstate thermalization. Bridging quantum
thermodynamics to many-body physics, we quantify the effects of charges'
noncommutation -- of a symmetry's non-Abelian nature -- on Page curves. First,
we construct two models that are closely analogous but differ in whether their
charges commute. We show analytically and numerically that the
noncommuting-charge case has more entanglement. Hence charges' noncommutation
can promote entanglement.
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