A universal formula for the entanglement asymmetry of matrix product states - Archive ouverte HAL
Article Dans Une Revue Journal Of Physics A-mathematical And Theoretical Année : 2024

A universal formula for the entanglement asymmetry of matrix product states

Résumé

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.

Dates et versions

hal-04827765 , version 1 (09-12-2024)

Identifiants

Citer

Luca Capizzi, Vittorio Vitale. A universal formula for the entanglement asymmetry of matrix product states. Journal Of Physics A-mathematical And Theoretical, 2024, 57, pp.45. ⟨10.1088/1751-8121/ad8796⟩. ⟨hal-04827765⟩

Partager

More