Hilbert space shattering and disorder-free localization in polar lattice gases

• URL: http://arxiv.org/abs/2103.13780v4
• Date: Tue, 9 Nov 2021 13:44:59 GMT
• Title: Hilbert space shattering and disorder-free localization in polar lattice gases
• Authors: Wei-Han Li, Xiaolong Deng, and Luis Santos
• Abstract summary: In absence of disorder hard-core Hubbard models with only strong nearest-neighbor interactions present Hilbert space fragmentation but no many-body localization for typical states. Our results show that the study of the intriguing interplay between disorder- and interaction-induced many-body localization is within reach of future experiments with magnetic atoms and polar molecules.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Emerging dynamical constraints resulting from inter-site interactions severely limit particle mobility in polar lattice gases. Whereas in absence of disorder hard-core Hubbard models with only strong nearest-neighbor interactions present Hilbert space fragmentation but no many-body localization for typical states, the $1/r^3$ tail of the dipolar interaction results in Hilbert space shattering, as well as in a dramatically slowed down dynamics and eventual disorder-free localization. Our results show that the study of the intriguing interplay between disorder- and interaction-induced many-body localization is within reach of future experiments with magnetic atoms and polar molecules.

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