Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
arXiv:1410.1034 · doi:10.1103/PhysRevA.90.063634
Abstract
We investigate the phase diagrams of theoretical models describing bosonic atoms in a lattice in the presence of randomly localized impurities. By including multiband and nonlinear hopping effects we enrich the standard model containing only the chemical-potential disorder with the site-dependent hopping term. We compare the extension of the MI and the BG phase in both models using a combination of the local mean-field method and a Hartree-Fock-like procedure, as well as, the Gutzwiller-ansatz approach. We show analytical argument for the presence of triple points in the phase diagram of the model with chemical-potential disorder. These triple points however, cease to exists after the addition of the hopping disorder.
version accepted in Phys. Rev. A
References in corpus (21)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Double species condensate with tunable interspecies interactions
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Anderson localization in Bose-Einstein condensates
- The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
- Three-dimensional strong localization of matter waves by scattering from atoms in a lattice with a confinement-induced resonance
- Self-Trapping of Bosons and Fermions in Optical Lattices
- The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
- Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature
- Mean-field phase diagram of cold lattice bosons in disordered potentials
- Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
- Gutzwiller approach to the Bose-Hubbard model with random local impurities
- Compression as a tool to detect Bose glass in cold atoms experiments
- Ultracold bosons in lattices with binary disorder
- Analysis of Localization Phenomena in Weakly Interacting Disordered Lattice Gases
- Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices