Archive ouverte HAL – Many-body localization in continuum systems: Two-dimensional bosons

G. Bertoli 1 B. L. Altshuler 2 G. V. Shlyapnikov 1

G. Bertoli, B. L. Altshuler, G. V. Shlyapnikov. Many-body localization in continuum systems: Two-dimensional bosons. Physical Review A, American Physical Society 2019, 100 (1), ⟨10.1103/PhysRevA.100.013628⟩. ⟨hal-02291788⟩

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.

  • 1. LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
  • 2. Physics Dept.