A universal formula for the entanglement asymmetry of matrix product states

• URL: http://arxiv.org/abs/2310.01962v2
• Date: Mon, 4 Mar 2024 13:48:07 GMT
• Title: A universal formula for the entanglement asymmetry of matrix product states
• Authors: Luca Capizzi, Vittorio Vitale
• Abstract summary: We provide a universal formula for the entanglement asymmetry of matrix product states with finite bond dimension. We show that the entanglement asymmetry of any compact -- discrete or continuous -- group depends only on the symmetry breaking pattern, and is not related to any other microscopic features.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Symmetry breaking is a fundamental concept in understanding quantum phases of matter, studied so far mostly through the lens of local order parameters. Recently, a new entanglement-based probe of symmetry breaking has been introduced under the name of \textit{entanglement asymmetry}, which has been employed to investigate the mechanism of dynamical symmetry restoration. Here, we provide a universal formula for the entanglement asymmetry of matrix product states with finite bond dimension, valid in the large volume limit. We show that the entanglement asymmetry of any compact -- discrete or continuous -- group depends only on the symmetry breaking pattern, and is not related to any other microscopic features.

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