Symmetry resolved entanglement entropy after an inhomogeneous quench

Fuente: arXiv
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Autori principali: Chen, Hui-Huang, Zhou, Xin-Liang, Yin, Jiayu, Zhang, Ming
Natura: Preprint
Pubblicazione: 2025
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author Chen, Hui-Huang
Zhou, Xin-Liang
Yin, Jiayu
Zhang, Ming
author_facet Chen, Hui-Huang
Zhou, Xin-Liang
Yin, Jiayu
Zhang, Ming
contents We investigate the non-equilibrium time evolution of symmetry-resolved entanglement entropy (SREE) following an inhomogeneous quench in a critical one-dimensional free fermion system. Using conformal field theory, we derive an exact expression for the SREE and analyze its behavior. We find that, at leading order in the long-time limit, the SREE grows logarithmically as $\log t$. While the equipartition of entanglement holds at leading order, we identify subleading corrections that break it. Our numerical simulations corroborate the analytical predictions with excellent agreement.
format Preprint
id arxiv_https___arxiv_org_abs_2504_14661
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Symmetry resolved entanglement entropy after an inhomogeneous quench
Chen, Hui-Huang
Zhou, Xin-Liang
Yin, Jiayu
Zhang, Ming
High Energy Physics - Theory
Statistical Mechanics
We investigate the non-equilibrium time evolution of symmetry-resolved entanglement entropy (SREE) following an inhomogeneous quench in a critical one-dimensional free fermion system. Using conformal field theory, we derive an exact expression for the SREE and analyze its behavior. We find that, at leading order in the long-time limit, the SREE grows logarithmically as $\log t$. While the equipartition of entanglement holds at leading order, we identify subleading corrections that break it. Our numerical simulations corroborate the analytical predictions with excellent agreement.
title Symmetry resolved entanglement entropy after an inhomogeneous quench
topic High Energy Physics - Theory
Statistical Mechanics
url https://arxiv.org/abs/2504.14661