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Properties of many-body localization in quasi-disordered Haldane-Shastry model
S. Lu, T. T. Hu, H. Ren, X. X. Gu, X. D. Li, Y. W. Gao, Y. N. Zhang, J. M. Hong and Y. T. Li
2023
发表期刊Quantum Information Processing
ISSN1570-0755
卷号22期号:10页码:14
摘要In this work, through the exact matrix diagonalization, we theoretically study the properties of many-body localization (MBL) in one-dimensional quasi-disordered Haldane-Shastry chains. The Haldane-Shastry (HS) model is an integrable quantum spin chain with long-range interactions, it is the generalized Heisenberg XXX model which only contains the nearest-neighbor two-body interactions. By studying the HS model, it is worth noting that we extend the MBL problem of disordered systems to quasi-disordered many-body systems, where the quasi-disorder is adjustable. Firstly, we use excited-state fidelity to study the phase transition, it is found that the interplay between quasi-disorder and interaction can cause the system to occur the many-body localized phase transition, which is similar to that in the random disordered systems. It shows that quasi-disorder forms and system size both affect the critical point of the MBL phase transition. Secondly, we use local magnetization to further demonstrate that the many-body localized phase transition does occur in the quasi-disordered HS model. We also discuss the effect of periodic driving on the quasi-disordered HS systems. It shows that periodic driving will cause the quasi-disordered systems to occur the phase transition between the ergodic phase and the localized phase.
DOI10.1007/s11128-023-04145-4
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收录类别sci ; ei
语种英语
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文献类型期刊论文
条目标识符http://ir.ciomp.ac.cn/handle/181722/67746
专题中国科学院长春光学精密机械与物理研究所
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S. Lu, T. T. Hu, H. Ren, X. X. Gu, X. D. Li, Y. W. Gao, Y. N. Zhang, J. M. Hong and Y. T. Li. Properties of many-body localization in quasi-disordered Haldane-Shastry model[J]. Quantum Information Processing,2023,22(10):14.
APA S. Lu, T. T. Hu, H. Ren, X. X. Gu, X. D. Li, Y. W. Gao, Y. N. Zhang, J. M. Hong and Y. T. Li.(2023).Properties of many-body localization in quasi-disordered Haldane-Shastry model.Quantum Information Processing,22(10),14.
MLA S. Lu, T. T. Hu, H. Ren, X. X. Gu, X. D. Li, Y. W. Gao, Y. N. Zhang, J. M. Hong and Y. T. Li."Properties of many-body localization in quasi-disordered Haldane-Shastry model".Quantum Information Processing 22.10(2023):14.
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