Abstract
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 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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