Hilbert Space Shattering and Disorder-Free Localization in Polar Lattice Gases

Emerging dynamical constraints resulting from intersite interactions severely limit particle mobility in polar lattice gases. Whereas in absence of disorder hard-core Hubbard models with only strong nearestneighbor interactions present Hilbert space fragmentation but no many-body localization for typical states, the 1=r3 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.

Automated summary

Study shows that in polar lattice gases, intersite interactions severely limit particle mobility and lead to fragmentation and localization of Hilbert space. Future experiments with magnetic atoms and polar molecules can explore the intriguing interplay between disorder- and interaction-induced many-body localization.