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 (57)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Double species condensate with tunable interspecies interactions
- A Bose-Einstein condensate in a random potential
- Proof of Bose-Einstein Condensation for Dilute Trapped Gases
- Disordered quantum gases under control
- Atomic Bose and Anderson glasses in optical lattices
- Suppression of Transport of an Interacting Elongated Bose-Einstein Condensate in a Random Potential
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Effect of optical disorder and single defects on the expansion of a Bose-Einstein condensate in a one-dimensional waveguide
- Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
- Anderson localization in Bose-Einstein condensates
- Experimental study of the transport of coherent interacting matter-waves in a 1D random potential induced by laser speckle
- Matterwave localization in disordered cold atom lattices
- 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
- Absence of a Direct Superfluid to Mott Insulator Transition in Disordered Bose Systems
- Observation of a disordered bosonic insulator from weak to strong interactions
- Density matrix renormalization group for disordered bosons in one dimension
- Glassy behavior in a binary atomic mixture
- Superfluidity and Interference Pattern of Ultracold Bosons in Optical Lattices
- Superfluid--Insulator Transition in Commensurate Disordered Bosonic Systems:Large-Scale Worm-Algorithm Simulations
- Bosons in one-dimensional incommensurate superlattices
- Ultracold atoms in optical lattices with random on-site interactions
- Bose glass and Mott insulator phase in the disordered boson Hubbard model
- 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
- Transport of a Bose gas in 1D disordered lattices at the fluid-insulator transition
- Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature
- The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
- Mean-field phase diagram of cold lattice bosons in disordered potentials
- Superfluid clusters, percolation and phase transitions in the disordered, two dimensional Bose-Hubbard model
- Stochastic Mean-Field Theory: Method and Application to the Disordered Bose-Hubbard Model at Finite Temperature and Speckle Disorder
- Stochastic Mean-Field Theory for the Disordered Bose-Hubbard Model
- Phase diagram of a Disordered Boson Hubbard Model in Two Dimensions
- Superfluid - Bose-Glass Transition in Weakly Disordered Commensurate One-Dimensional System
- Breakdown of adiabaticity when loading ultra-cold atoms in optical lattices
- Effective multi-body induced tunneling and interactions in the Bose-Hubbard model of the lowest dressed band of an optical lattice
- Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
- Application of a multi-site mean-field theory to 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
- Density-induced processes in quantum gas mixtures in optical lattices
- Bragg spectroscopy of clean and disordered lattice bosons in one dimension: a spectral fingerprint of the Bose glass
- A review of Monte Carlo simulations for the Bose-Hubbard model with diagonal disorder
- Analysis of Localization Phenomena in Weakly Interacting Disordered Lattice Gases
- The superfluid density in continuous and discrete spaces: Avoiding misconceptions
- Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices
- Anomalous suppression of the Bose glass at commensurate fillings in the disordered Bose-Hubbard model
- Glass to superfluid transition in dirty bosons on a lattice