Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866929236676182016 |
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| author | Ferro, Florent Ares, Filiberto Calabrese, Pasquale |
| author_facet | Ferro, Florent Ares, Filiberto Calabrese, Pasquale |
| contents | The 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 $\mathbb{Z}_N$ groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks the $\mathbb{Z}_2$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_06902 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain Ferro, Florent Ares, Filiberto Calabrese, Pasquale Statistical Mechanics High Energy Physics - Theory Quantum Physics The 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 $\mathbb{Z}_N$ groups. As an application, we consider the XY spin chain, in which the ground state spontaneously breaks the $\mathbb{Z}_2$ 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. |
| title | Non-equilibrium entanglement asymmetry for discrete groups: the example of the XY spin chain |
| topic | Statistical Mechanics High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2307.06902 |