On symmetry-resolved generalized entropies

• URL: http://arxiv.org/abs/2412.14165v1
• Date: Wed, 18 Dec 2024 18:59:28 GMT
• Title: On symmetry-resolved generalized entropies
• Abstract summary: We develop a computational framework suitable for the study of excited state symmetry-resolved entanglement.<n>We benchmark our results using lattice computation in the XX chain.<n>As a byproduct, our framework provides access to the probability distribution of the symmetry charge contained within a subsystem.
• Score: 1.044961303185204
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Symmetry-resolved entanglement, capturing the refined structure of quantum entanglement in systems with global symmetries, has attracted a lot of attention recently. In this manuscript, introducing the notion of symmetry-resolved generalized entropies, we aim to develop a computational framework suitable for the study of excited state symmetry-resolved entanglement as well as the dynamical evolution of symmetry-resolved entanglement in symmetry-preserving out-of-equilibrium settings. We illustrate our framework using the example of (1+1)-d free massless compact boson theory, and benchmark our results using lattice computation in the XX chain. As a byproduct, our computational framework also provides access to the probability distribution of the symmetry charge contained within a subsystem and the corresponding full counting statistics.

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