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arXiv · 2103.13780

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

Wei-Han Li·Xiaolong Deng·Luis Santos
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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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Wei-Han Li, Xiaolong Deng, Luis Santos. 2021-11-09. Hilbert space shattering and disorder-free localization in polar lattice gases. https://doi.org/10.1103/physrevlett.127.260601

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