Many-body localization in continuum systems: two-dimensional bosons

Abstract

We demonstrate that many-body localization of two-dimensional weakly interacting bosons in disorder remains stable in the thermodynamic limit at sufficiently low temperatures. Highly energetic particles destroy the localized state only above a critical temperature, which increases with the strength of the disorder. If the particle distribution is truncated at high energies, as it does for cold atom systems, the localization can be stable at any temperature.

arXiv comment7 pages, 3 figures

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• Classification of symmetry-protected topological phases in two-dimensional many body-localized systems
• Contour-time approach to the disordered Bose-Hubbard model in the strong coupling regime
• Inspiration from machine learning on example of optimization of the Bose-Einstein condensate of thulium atoms in a 1064-nm trap
• Finite-size scaling analysis of localization transitions in the disordered two-dimensional Bose-Hubbard model within the fluctuation operator expansion method
• Critical localization with Van der Waals interactions