Many-Body Localization and Particle Statistics in Disordered Bose-Hubbard Model

• URL: http://arxiv.org/abs/2503.03712v1
• Date: Wed, 05 Mar 2025 18:01:57 GMT
• Title: Many-Body Localization and Particle Statistics in Disordered Bose-Hubbard Model
• Authors: Jie Chen, Chun Chen, Xiaoqun Wang,
• Abstract summary: We study the potential influence of the particle statistics on the stability of the many-body localization in the disordered Bose-Hubbard model.<n>We make a connection linking the disordered Bose-Hubbard model in the lower-energy section to an intricate disordered spin chain model.
• Score: 6.83731714529242
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the potential influence of the particle statistics on the stability of the many-body localization in the disordered Bose-Hubbard model. Within the higher-energy section of the dynamical phase diagram, we find that there is no apparent finite-size boundary drift between the thermal phase and the many-body localized regime. We substantiate this observation by introducing the Van Vleck perturbation theory into the field of many-body localization. The appropriateness of this method rests largely on the peculiar Hilbert-space structure enabled by the particles' Bose statistics. The situation is reversed in the lower-energy section of the dynamical phase diagram, where the significant finite-size boundary drift pushes the putative many-body localized regime up to the greater disorder strengths. We utilize the algebraic projection method to make a connection linking the disordered Bose-Hubbard model in the lower-energy section to an intricate disordered spin chain model. This issue of the finite-size drift could hence be analogous to what happens in the disordered Heisenberg chain. Both trends might be traced back to the particles' intrinsic or emergent Fermi statistics.

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