Bogoliubov approach to superfluidity of atoms in an optical lattice
arXiv:cond-mat/0210550 · doi:10.1088/0953-4075/36/5/304
Abstract
We use the Bogoliubov theory of atoms in an optical lattice to study the approach to the Mott-insulator transition. We derive an explicit expression for the superfluid density based on the rigidity of the system under phase variations. This enables us to explore the connection between the quantum depletion of the condensate and the quasi-momentum distribution on the one hand and the superfluid fraction on the other. The approach to the insulator phase may be characterized through the filling of the band by quantum depletion, which should be directly observable via the matter wave interference patterns. We complement these findings by self-consistent Hartree-Fock-Bogoliubov-Popov calculations for one-dimensional lattices including the effects of a parabolic trapping potential.
arXiv comment25 pages, 8 figures
References in corpus (10)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Conserving and Gapless Approximations for an Inhomogeneous Bose Gas at Finite Temperatures
- Quantum phases in an optical lattice
- Mott Domains of Bosons Confined on Optical Lattices
- Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
- Thermal vs quantum decoherence in double well trapped Bose-Einstein condensates
- Superfluidity and Interference Pattern of Ultracold Bosons in Optical Lattices
- Collective excitations of Bose-Einstein condensed gases at finite temperatures
- Time dependent mean field theory of the superfluid-insulator phase transition
Cited by in corpus (75)
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Ultracold atoms confined in an optical lattice plus parabolic potential: a closed-form approach
- Observation of Strong Quantum Depletion in a Gaseous Bose-Einstein Condensate
- Nonequilibrium Dynamics of Optical Lattice-Loaded BEC Atoms: Beyond HFB Approximation
- Bose-Einstein Quantum Phase Transition in an Optical Lattice Model
- Bragg Spectroscopy of ultracold atoms loaded in an optical lattice
- Bose-Einstein Condensates in Rotating Lattices
- Excitation spectra of strongly correlated lattice bosons and polaritons
- Nonlinear Band Structure in Bose Einstein Condensates: The Nonlinear Schrödinger Equation with a Kronig-Penney Potential
- Nonadiabatic dynamics of a Bose-Einstein condensate in an optical lattice
- Macroscopic superpositions of superfluid flows
- Spin-1 bosons with coupled ground states in optical lattices
- Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
- Perturbative corrections to the Gutzwiller mean-field solution of the Mott-Hubbard model
- Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices
- Theory of correlations between ultra-cold bosons released from an optical lattice
- Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
- Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice
- Two-species boson mixture on a ring: A group theoretic approach to the quantum dynamics of low-energy excitations
- Quantum dynamics of bosons in a two-ring ladder: dynamical algebra, vortex-like excitations and currents
- Damping of Bogoliubov Excitations in Optical Lattices
- Gutzwiller approach to the Bose-Hubbard model with random local impurities
- Propagation of sound in a Bose Einstein condensate in an optical lattice
- Lattice polarons across the superfluid to Mott insulator transition
- Optical lattice influenced geometry of quasi-2D binary condensates and quasiparticle spectra
- Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices
- Characteristics of Bose-Einstein condensation in an optical lattice
- Insulator-Superfluid transition of spin-1 bosons in an optical lattice in magnetic field
- Finite temperature theory of superfluid bosons in optical lattices
- Landau damping of Bogoliubov excitations in optical lattices at finite temperature
- Quantum Gutzwiller approach for the two-component Bose-Hubbard model
- Quantum fluctuations beyond the Gutzwiller approximation in the Bose-Hubbard model
- Photon and polariton fluctuations in arrays of QED-cavities
- Quantum Kinetic Theory of BEC Lattice Gas:Boltzmann Equations from 2PI-CTP Effective Action
- Persistent current of atoms in a ring optical lattice
- Strong-coupling expansions for the topologically inhomogeneous Bose-Hubbard model
- Effects of Inhomogeneity on the Spectrum of the Mott-Insulator State
- Bose - Einstein Condensate Superfluid-Mott Insulator Transition in an Optical Lattice
- Mean-field treatment of the damping of the oscillations of a 1D Bose gas in an optical lattice
- Extended self-energy functional approach for strongly-correlated lattice bosons in the superfluid phase
- Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
- Superfluid properties of a Bose-Einstein condensate in an optical lattice confined in a cavity
- A Finite Temperature Treatment of Ultracold Atoms in a 1-D Optical Lattice
- Bogoliubov speed of sound for a dilute Bose-Einstein condensate in a 3d optical lattice
- A continuous-variable approach to the spectral properties and quantum states of the two-component Bose-Hubbard dimer
- Topology-induced confined superfluidity in inhomogeneous arrays
- Mean-field phase diagram for Bose-Hubbard Hamiltonians with random hopping
- Kelvin-Helmholtz instability in two-component Bose gases on a lattice
- Frustrated Bose condensates in optical lattices
- Critical temperature of a Bose gas in an optical lattice
- Spontaneous squeezing of a vortex in an optical lattice
- Dynamics of a period-three pattern loaded Bose-Einstein condensate in an optical lattice
- Impurity dephasing in a Bose-Hubbard model
- Ground-state Properties of Small-Size Nonlinear Dynamical Lattices
- Excitations of Bose-Einstein condensates in optical lattices
- Metastable Bose-Einstein Condensation in a Strongly Correlated Optical Lattice
- Studies of bosons in optical lattices in a harmonic potential
- Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model
- Thermodynamics of quantum degenerate gases in optical lattices
- Correlated bosons in a one-dimensional optical lattice: Effects of the trapping potential and of quasiperiodic disorder
- Lattice bosons in quartic confinement
- Supersolid spectroscopy
- Superfluid Dynamics of a Bose-Einstein Condensate in a One Dimensional Optical Super-Lattice
- Quantum States of Matter of Simple Bosonic Systems: BEC's, Superfluids and Quantum Solids
- Optically trapped quasi-two-dimensional Bose gases in random environment: quantum fluctuations and superfluid density
- Bogoliubov approach to superfluid-Bose glass phase transition of a disordered Bose-Hubbard Model in weakly interacting regime
- Measuring atomic NOON-states and using them to make precision measurements
- Coherence Properties of a Bose-Einstein Condensate in an Optical Superlattice
- Adiabaticity when raising a uniform 3D optical lattice in a bimodal Bose-Einstein condensate
- Theory of hydrodynamic phenomena in optical mesh lattices
- Quantum Field Theoretical Analysis on Unstable Behavior of Bose-Einstein Condensates in Optical Lattices
- Signatures of Bose-Einstein condensation in an optical lattice
- Coleman-Weinberg mechanism in spinor Bose-Einstein condensates