Superfluidity and Interference Pattern of Ultracold Bosons in Optical Lattices
arXiv:cond-mat/0209066 · doi:10.1103/PhysRevA.67.031602
Abstract
We present a study of the superfluid properties of atomic Bose gases in optical lattice potentials using the Bose-Hubbard model. To do this, we use a microscopic definition of the superfluid fraction based on the response of the system to a phase variation imposed by means of twisted boundary conditions. We compare the superfluid fraction to other physical quantities, i.e., the interference pattern after ballistic expansion, the quasi-momentum distribution, and number fluctuations. We have performed exact numerical calculations of all these quantities for small one-dimensional systems. We show that the superfluid fraction alone exhibits a clear signature of the Mott-insulator transition. Observables like the fringe visibility, which probe only ground state properties, do not provide direct information on superfluidity and the Mott-insulator transition.
4 pages, 3 figures, using REVTEX4
References in corpus (2)
Cited by in corpus (82)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Probing many-body states of ultra-cold atoms via noise correlations
- Atomic Bose and Anderson glasses in optical lattices
- Routes towards Anderson-Like localization of Bose-Einstein condensates in disordered optical lattices
- Interference of an array of independent Bose-Einstein condensates
- Cold Bosons in Optical Lattices
- Ultracold quantum gases in triangular optical lattices
- Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Phase coherence of an atomic Mott insulator
- Interference between independent fluctuating condensates
- Interference pattern and visibility of a Mott insulator
- Effective three-body interactions of neutral bosons in optical lattices
- Spatial correlations of trapped 1d bosons in an optical lattice
- Ultracold atoms in optical lattices
- Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition
- Bogoliubov approach to superfluidity of atoms in an optical lattice
- Ultracold bosons with short-range interaction in regular optical lattices
- Dynamics of the superfluid to Mott insulator transition in one dimension
- Quantum phases of atomic boson-fermion mixtures in optical lattices
- Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices
- Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature
- Fully Frustrated Cold Atoms
- Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
- Dynamic response of trapped ultracold bosons on optical lattices
- Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model
- Itinerant-localized dual character of a strongly-correlated superfluid Bose gas in an optical lattice
- Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices
- Variational Cluster Perturbation Theory for Bose-Hubbard models
- Theory of correlations between ultra-cold bosons released from an optical lattice
- Laser probing of single-particle energy gap of a Bose gas in an optical lattice in the Mott insulator phase
- Dynamics of Bloch Oscillations in Disordered Lattice Potentials
- Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
- Gutzwiller approach to the Bose-Hubbard model with random local impurities
- Superfluid to Bose-glass transition of hard core bosons in one-dimensional incommensurate optical lattice
- Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard model
- Ultracold bosons in lattices with binary disorder
- Phase coherence, visibility, and the superfluid--Mott-insulator transition on one-dimensional optical lattices
- Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
- Insulator-Superfluid transition of spin-1 bosons in an optical lattice in magnetic field
- Quantum theory of a vortex line in an optical lattice
- Localization and delocalization of ultracold bosonic atoms in finite optical lattices
- Physical replicas and the Bose-glass in cold atomic gases
- Bond Order via Light-Induced Synthetic Many-body Interactions of Ultracold Atoms in Optical Lattices
- Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
- Effects of Inhomogeneity on the Spectrum of the Mott-Insulator State
- Probing condensate order in deep optical lattices
- Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
- Extended self-energy functional approach for strongly-correlated lattice bosons in the superfluid phase
- Phase Diagram of Bosons in Two-Color Superlattices from Experimental Parameters
- Persistent currents in ultracold gases
- Noise Correlations of Hard-core Bosons: Quantum Coherence and Symmetry Breaking
- The single-atom box: bosonic staircase and effects of parity
- Matter Wave Scattering from Ultracold Atoms in an Optical Lattice
- Preparation of stable excited states in an optical lattice via sudden quantum quench
- Engineering many-body quantum dynamics by disorder
- Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
- Perturbative calculation of critical exponents for the Bose-Hubbard model
- Optical lattices as a tool to study defect-induced superfluidity
- Localization and Anomalous Transport in a 1-D Soft Boson Optical Lattice
- Spatial noise correlations of a chain of ultracold fermions - A numerical study
- Response of Bose gases in time-dependent optical superlattices
- Excitations of Bose-Einstein condensates in optical lattices
- Mean-field description of ultracold Bosons on disordered two-dimensional optical lattices
- Fermionized photons in the ground state of one-dimensional coupled cavities
- Theory of spin nematic to spin-Peierls quantum phase transition in ultracold spin-1 atoms in optical lattices
- Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer
- Exact one-particle density matrix for SU() fermionic matter-waves in the strong repulsive limit
- Ultracold Bose gases in time-dependent 1D superlattices: response and quasimomentum structure
- Long-time averaged dynamics of a Bose-Einstein condensate in a bichromatic optical lattice with external harmonic confinement
- Bogoliubov approach to superfluid-Bose glass phase transition of a disordered Bose-Hubbard Model in weakly interacting regime
- Self-consistent approach for Bose-condensed atoms in optical lattices
- Interference of Bose-Einstein condensates and entangled single-atom state in a spin-dependent optical lattice
- Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
- Glassy dynamics and Landau-Zener phenomena in trapped quasi-one dimensional coupled Bose-Einstein condensates
- Global and local condensate and superfluid fraction of a few hard core bosons in a cubic optical lattice plus external harmonic confinement
- Fine-grained domain counting and percolation analysis in 2D lattice systems with linked-lists
- Spin-flip induced superfluidity in a ring of spinful hard-core bosons
- Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice
- Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the Sine-Gordon transition: a Worm Algorithm Monte Carlo study
- Short-range coherence of a lattice Bose atom gas in the Mott insulating phase