Strongly interacting bosons in multichromatic potentials supporting mobility edges: Localization, quasi-condensation, and expansion dynamics
Abstract
We provide an account of the static and dynamic properties of hard-core bosons in a one-dimensional lattice subject to a multichromatic quasiperiodic potential for which the single-particle spectrum has mobility edges. We use the mapping from strongly interacting bosons to weakly interacting fermions and provide exact numerical results for hard-core bosons in and out of equilibrium. In equilibrium, we find that the system behaves like a quasi-condensate (insulator) depending on whether the Fermi surface of the corresponding fermionic system lies in a spectral region where the single-particle states are delocalized (localized). We also study nonequilibrium expansion dynamics of initially trapped bosons and demonstrate that the extent of partial localization is determined by the single-particle spectrum.
- Publication:
-
Physical Review A
- Pub Date:
- April 2013
- DOI:
- 10.1103/PhysRevA.87.043635
- arXiv:
- arXiv:1211.6012
- Bibcode:
- 2013PhRvA..87d3635R
- Keywords:
-
- 03.75.Kk;
- 03.75.Hh;
- 05.30.Jp;
- 72.15.Rn;
- Dynamic properties of condensates;
- collective and hydrodynamic excitations superfluid flow;
- Static properties of condensates;
- thermodynamical statistical and structural properties;
- Boson systems;
- Localization effects;
- Condensed Matter - Quantum Gases;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Other Condensed Matter
- E-Print:
- Phys. Rev. A 87, 043635 (2013)