The Behavior of Many-body Localization in the Periodically Driven Heisenberg XXX Model

doi:10.1007/s10773-021-04843-8

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	The Behavior of Many-body Localization in the Periodically Driven Heisenberg XXX Model
	H. Zhao; T. T. Hu; K. Xue; H. Y. Li; X. D. Li; S. Y. Ni; J. L. Zhang and H. Ren
	2021
发表期刊	International Journal of Theoretical Physics
ISSN	0020-7748
卷号	60 期号:8 页码:3177-3187
摘要	In this paper, we use exact matrix diagonalization to research property of the many-body localization (MBL) in the disordered Heisenberg XXX model with periodic driving. We get the periodic time-dependent external field by trigonometric function, which is added to periodically drive this model. It is demonstrated that the fidelity of eigenstate is able to capture quantum criticality underlying many-body physics (Zhou et al. Phys. Rev. Lett. 100, 080601, 2008, Zhou and Barjaktarevi J. Phys. A: Math. Theor. 41, 412001 2008), which can be used to characterize the many-body localization transition in this closed spin system (Zanardi and Paunkovic Phys. Rev. E 74, 031123, 2006). We obtain the fidelity for high-energy many-body eigenstates, namely, the excited state fidelity, which shows the phase transition of periodically driven Heisenberg XXX chain with different disordered external field strengths and different system sizes. It is demonstrated that when Heisenberg XXX system is in a very small disorder, periodic driving can cause the occurrence of a transition from ergodic phase to MBL phase. In contrast to the HS model which has global two-body interaction, which we have studied recently with the same situation, there is no MBL phase transition when we drive the HS model in ergodic phase with periodic driving. It also shows that for the strong disordered Heisenberg XXX system, there will exist a critical driving period Tc, when driving period T is higher than Tc, the system will undergo a transition from localized phase to ergodic phase and the MBL phase will be broken. Furthermore, we discover that the size of the system and the strength of disorder will affect the critical point of driving period and the magnitude of the phase change. For the same system, the critical point increases as the strength of disorder increases. We also explore the non-disorder system of HS model with the same driving to explore the properties of MBL, it shows that under periodic driving, the non-disordered HS system has the quantum phase transition rather than MBL phase transition. This illustrates the important role of disorder on MBL.
DOI	10.1007/s10773-021-04843-8
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收录类别	SCI
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文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/65072
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	H. Zhao,T. T. Hu,K. Xue,et al. The Behavior of Many-body Localization in the Periodically Driven Heisenberg XXX Model[J]. International Journal of Theoretical Physics,2021,60(8):3177-3187.
APA	H. Zhao.,T. T. Hu.,K. Xue.,H. Y. Li.,X. D. Li.,...&J. L. Zhang and H. Ren.(2021).The Behavior of Many-body Localization in the Periodically Driven Heisenberg XXX Model.International Journal of Theoretical Physics,60(8),3177-3187.
MLA	H. Zhao,et al."The Behavior of Many-body Localization in the Periodically Driven Heisenberg XXX Model".International Journal of Theoretical Physics 60.8(2021):3177-3187.

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