Related papers: Non-Abelian symmetry can increase entanglement entropy

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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