Delocalization of weakly interacting bosons in a 1D quasiperiodic potential - Laboratoire de Physique Théorique et Modèles Statistiques

V. P. Michal ¹ B. L. Altshuler ² G. V. Shlyapnikov ^{1, 3, 4}

Physical Review Letters, American Physical Society, 2014, 113, pp.045304

We consider weakly interacting bosons in a 1D quasiperiodic potential (Aubry-Azbel-Harper model) in the regime where all single-particle states are localized. We show that the interparticle interaction may lead to the many-body delocalization and we obtain the finite-temperature phase diagram. Counterintuitively, in a wide range of parameters the delocalization requires stronger cou- pling as the temperature increases. This means that the system of bosons can undergo a transition from a fluid to insulator (glass) state under heating.

1. LPTMS – Laboratoire de Physique Théorique et Modèles Statistiques
2. Physics Dept.
3. VAN DER WAALS-ZEEMAN INSTITUTE – University of Amsterdam Van der Waals-Zeeman Institute
4. Russian Quantum Center

V. P. Michal 1 B. L. Altshuler 2 G. V. Shlyapnikov 1, 3, 4

Physical Review Letters, American Physical Society, 2014, 113, pp.045304

V. P. Michal ¹ B. L. Altshuler ² G. V. Shlyapnikov ^{1, 3, 4}