Quantum Many-body Scar Models in One Dimensional Spin Chains

Fuente: arXiv
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Hauptverfasser: Wang, Jia-Wei, Zhou, Xiang-Fa, Guo, Guang-Can, Zhou, Zheng-Wei
Format: Preprint
Veröffentlicht: 2024
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author Wang, Jia-Wei
Zhou, Xiang-Fa
Guo, Guang-Can
Zhou, Zheng-Wei
author_facet Wang, Jia-Wei
Zhou, Xiang-Fa
Guo, Guang-Can
Zhou, Zheng-Wei
contents The phenomenon of quantum many-body scars has received widespread attention both in theoretical and experimental physics in recent years due to its unique physical properties. In this paper, based on the $su(2)$ algebraic relations, we propose a general method for constructing scar models by combining simple modules.This allows us to investigate many-body scar phenomena in high-spin systems. We numerically verify the thermalization and non-integrability of this model and demonstrate the dynamical properties of the scar states. We also provide a theoretical analysis of the properties of these scar states. For spin-$1$ case, we find that our 1D chain model reduces to the famous PXP model[C. J. Turner et al. Phys. Rev. B 98, 155134(2018)] under special parameter condition. In addition, due to the continuous tunability of the parameters, our model also enables us to investigate the transitions of QMBS from non-integrable to integrable system.
format Preprint
id arxiv_https___arxiv_org_abs_2403_05015
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum Many-body Scar Models in One Dimensional Spin Chains
Wang, Jia-Wei
Zhou, Xiang-Fa
Guo, Guang-Can
Zhou, Zheng-Wei
Quantum Physics
Statistical Mechanics
Strongly Correlated Electrons
The phenomenon of quantum many-body scars has received widespread attention both in theoretical and experimental physics in recent years due to its unique physical properties. In this paper, based on the $su(2)$ algebraic relations, we propose a general method for constructing scar models by combining simple modules.This allows us to investigate many-body scar phenomena in high-spin systems. We numerically verify the thermalization and non-integrability of this model and demonstrate the dynamical properties of the scar states. We also provide a theoretical analysis of the properties of these scar states. For spin-$1$ case, we find that our 1D chain model reduces to the famous PXP model[C. J. Turner et al. Phys. Rev. B 98, 155134(2018)] under special parameter condition. In addition, due to the continuous tunability of the parameters, our model also enables us to investigate the transitions of QMBS from non-integrable to integrable system.
title Quantum Many-body Scar Models in One Dimensional Spin Chains
topic Quantum Physics
Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2403.05015