Entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far, it has only been used to characterise the breaking of continuous Abelian symmetries. In this paper, we extend the concept to cyclic ZN groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks the Z2 spin parity symmetry in the ferromagnetic phase. We thoroughly investigate the non-equilibrium dynamics of this symmetry after a global quantum quench, generalising known results for the standard order parameter.

Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain / Ferro, Florent; Ares, Filiberto; Calabrese, Pasquale. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2024:2(2024), pp. 1-42. [10.1088/1742-5468/ad138f]

Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain

Ares, Filiberto;Calabrese, Pasquale
2024-01-01

Abstract

Entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far, it has only been used to characterise the breaking of continuous Abelian symmetries. In this paper, we extend the concept to cyclic ZN groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks the Z2 spin parity symmetry in the ferromagnetic phase. We thoroughly investigate the non-equilibrium dynamics of this symmetry after a global quantum quench, generalising known results for the standard order parameter.
2024
2024
2
1
42
023101
10.1088/1742-5468/ad138f
https://arxiv.org/abs/2307.06902
Ferro, Florent; Ares, Filiberto; Calabrese, Pasquale
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/136501
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