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Many-body localization transition of disordered Heisenberg XXX spin-1 chains

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Abstract

In this paper, the properties of many-body localization (MBL) in one-dimensional disordered Heisenberg XXX spin-1 chains are studied theoretically by using the methods of exact matrix diagonalization. We compare it with the MBL properties of the Heisenberg spin-1/2 chains. We first study properties of the eigenstates of the model through the excited-state fidelity. By analyzing the inflection point of excited-state fidelity curves, we can roughly determine the critical point of MBL phase transition. Moreover, for the case of random disorder, we calculated the bipartite entanglement entropy, and the critical points obtained from the intersection of curves for different systems sizes were basically consistent with those obtained from excited-state fidelity. Then we study the dynamical properties of the model by the dynamical behavior of diagonal entropy (DE), local magnetization and the time evolution of fidelity to further prove the occurrence of MBL phase transition in the disordered Heisenberg XXX spin-1 chain and distinguish the ergodic phase (thermal phase) and the many-body localized phase. We can illustrate that in the localized phase, the information of the initial state can be well protected if the disorder strength of the system is large enough. There are various forms of disorder, and we compare the effects of different forms of quasi-disorder and random disorder on MBL in this article. We also investigate the effect of non-uniform disorder external field on MBL. Our results reveal that disorder can cause the occurrence of MBL in the one-dimensional disordered Heisenberg XXX spin-1 chains. Furthermore, the form of disorder, the properties of the spin, and the size of the system all affect the critical point of the MBL phase transition.

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Acknowledgements

This work was supported by the Plan for Scientific and Technological Development of Jilin Province (No. 20230101018JC).

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Authors and Affiliations

  1. School of Physics, Northeast Normal University, Changchun, 130024, People’s Republic of China

    Taotao Hu, Yiwen Gao, Yining Zhang, Jiameng Hong, Yuting Li & Dongyan Guo

  2. College of Science, University of Shanghai for Science and Technology, Shanghai, 200093, People’s Republic of China

    Xiaodan Li

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  1. Taotao Hu
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Contributions

Taotao Hu contributed the idea. Yiwen Gao, Yining Zhang, Jiameng Hong performed the calculations and prepared the figures. Yiwen Gao, Taotao Hu wrote the main manuscript. Xiaodan Li, Yuting Li and Dongyan Guo checked the calculations, and Taotao Hu improved the manuscript. All authors contributed to discussions and reviewed the manuscript.

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Correspondence to Taotao Hu.

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Hu, T., Gao, Y., Zhang, Y. et al. Many-body localization transition of disordered Heisenberg XXX spin-1 chains. Quantum Inf Process 23, 142 (2024). https://doi.org/10.1007/s11128-024-04332-x

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