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

TL;DR

This paper demonstrates that in polar lattice gases, long-range dipolar interactions cause Hilbert space shattering and disorder-free localization, revealing new dynamical constraints and slowing particle dynamics without disorder.

Contribution

It uncovers how $1/r^3$ dipolar interactions induce Hilbert space shattering and localization in disorder-free polar gases, extending understanding beyond short-range models.

Findings

Long-range interactions cause Hilbert space shattering.

Disorder-free localization emerges from dipolar interactions.

Dynamics are dramatically slowed in polar lattice gases.

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.