Lack of symmetry restoration after a quantum quench: An entanglement asymmetry study

Ares, Filiberto; Murciano, Sara; Vernier, Eric; Calabrese, Pasquale

doi:10.21468/SciPostPhys.15.3.089

SciPost Physics

Lack of symmetry restoration after a quantum quench: An entanglement asymmetry study

Filiberto Ares, Sara Murciano, Eric Vernier, Pasquale Calabrese

SciPost Phys. 15, 089 (2023) · published 12 September 2023

doi: 10.21468/SciPostPhys.15.3.089
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Abstract

We consider the quantum quench in the XX spin chain starting from a tilted Néel state which explicitly breaks the $U(1)$ symmetry of the post-quench Hamiltonian. Very surprisingly, the $U(1)$ symmetry is not restored at large time because of the activation of a non-Abelian set of charges which all break it. The breaking of the symmetry can be effectively and quantitatively characterised by the recently introduced entanglement asymmetry. By a combination of exact calculations and quasi-particle picture arguments, we are able to exactly describe the behaviour of the asymmetry at any time after the quench. Furthermore we show that the stationary behaviour is completely captured by a non-Abelian generalised Gibbs ensemble. While our computations have been performed for a non-interacting spin chain, we expect similar results to hold for the integrable interacting case as well because of the presence of non-Abelian charges also in that case.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.089
TI  - Lack of symmetry restoration after a quantum quench: An entanglement asymmetry study
PY  - 2023/09/12
UR  - https://www.scipost.org/SciPostPhys.15.3.089
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 089
A1  - Ares, Filiberto
AU  - Murciano, Sara
AU  - Vernier, Eric
AU  - Calabrese, Pasquale
AB  - We consider the quantum quench in the XX spin chain starting from a tilted Néel state which explicitly breaks the $U(1)$ symmetry of the post-quench Hamiltonian. Very surprisingly, the $U(1)$ symmetry is not restored at large time because of the activation of a non-Abelian set of charges which all break it. The breaking of the symmetry can be effectively and quantitatively characterised by the recently introduced entanglement asymmetry. By a combination of exact calculations and quasi-particle picture arguments, we are able to exactly describe the behaviour of the asymmetry at any time after the quench. Furthermore we show that the stationary behaviour is completely captured by a non-Abelian generalised Gibbs ensemble. While our computations have been performed for a non-interacting spin chain, we expect similar results to hold for the integrable interacting case as well because of the presence of non-Abelian charges also in that case.
ER  -

@Article{10.21468/SciPostPhys.15.3.089,
	title={{Lack of symmetry restoration after a quantum quench: An entanglement asymmetry study}},
	author={Filiberto Ares and Sara Murciano and Eric Vernier and Pasquale Calabrese},
	journal={SciPost Phys.},
	volume={15},
	pages={089},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.089},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.089},
}

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Quantum quenches Quantum spin chains

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