Lattice bosons in a quasi-disordered environment: The effects of next-nearest-neighbor hopping on localization and Bose-Einstein condensation
arXiv:1308.3993 · doi:10.1016/j.physa.2014.01.049
Abstract
We present a theoretical study of the effects of the next-nearest-neighbor (NNN) hopping () on the properties of non-interacting bosons in optical lattices in the presence of an Aubry-André quasi-disorder. First we investigate, employing exact diagonalization, the effects of on the localization properties of a single boson. The localization is monitored using an entanglement measure as well as with inverse participation ratio. We find that the sign of has a significant influence on the localization effects. We also provide analytical results in support of the trends found in the localization behavior. Further, we extend these results including the effects of a harmonic potential which obtains in experiments. Next, we study the effects of on Bose-Einstein condensation. We find that, a positive strongly enhances the low temperature thermal depletion of the condensate while a negative reduces it. It is also found that, for a fixed temperature, increasing the quasi-disorder strength reduces the condensate fraction in the extended regime while enhancing it in the localized regime. We also investigate the effects of boundary conditions and that of the phase of the AA potential on the condensate. These are found to have significant effects on the condensate fraction in the localization transition region.
12 pages with figures,more references added, revised version
References in corpus (16)
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Anderson localization in Bose-Einstein condensates
- Strongly interacting bosons in a disordered optical lattice
- The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
- Localization in one dimensional lattices with non-nearest-neighbor hopping: Generalized Anderson and Aubry-André models
- Localization in one-dimensional incommensurate lattices beyond the Aubry-André model
- Coherent Backscattering of Ultracold Atoms
- Bose-Einstein-condensed systems in random potentials
- Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
- Bose-Einstein-condensed gases in arbitrarily strong random potentials
- Delocalization and Heisenberg's uncertainty relation
- Correlation function of weakly interacting bosons in a disordered lattice
- Condensation temperature of interacting Bose gases with and without disorder
- Finite-size effects in Anderson localization of one-dimensional Bose-Einstein condensates
- Disorder-Induced Shift of Condensation Temperature for Dilute Trapped Bose Gases
- Lattice bosons in a quasi-disordered environment