Bogoliubov sound speed in periodically modulated Bose-Einstein condensates
arXiv:cond-mat/0308194 · doi:10.1103/PhysRevA.68.053611
Abstract
We study the Bogoliubov excitations of a Bose-condensed gas in an optical lattice. Of primary interest is the long wavelength phonon dispersion for both current-free and current-carrying condensates. We obtain the dispersion relation by carrying out a systematic expansion of the Bogoliubov equations in powers of the phonon wave vector. Our result for the current-carrying case agrees with the one recently obtained by means of a hydrodynamic theory.
16 pages, no figures
References in corpus (5)
- Dynamical Superfluid-Insulator Transition in a Chain of Weakly Coupled Bose-Einstein Condensates
- Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
- Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential
- Dynamic structure factor of a Bose Einstein condensate in a 1D optical lattice
- Effective mass analysis of Bose-Einstein condensates in optical lattices -- stabilization and levitation
Cited by in corpus (48)
- The physics of dipolar bosonic quantum gases
- Momentum-Resolved Bragg Spectroscopy in Optical Lattices
- The Nonlinear Dirac Equation in Bose-Einstein Condensates: Foundation and Symmetries
- Ultracold bosons with short-range interaction in regular optical lattices
- Spectral weight redistribution in strongly correlated bosons in optical lattices
- Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices
- Bogoliubov Excitations of Disordered Bose-Einstein Condensates
- Nonlinear Band Structure in Bose Einstein Condensates: The Nonlinear Schrödinger Equation with a Kronig-Penney Potential
- Critical velocity of superfluid flow through single barrier and periodic potentials
- Superfluid fraction in an interacting spatially modulated Bose-Einstein condensate
- Excitation dynamics in a lattice Bose gas within the time-dependent Gutzwiller mean-field approach
- Stability of Bose-Einstein condensates in a Kronig-Penney potential
- Sound speed of a Bose-Einstein condensate in an optical lattice
- Bragg spectroscopy of a superfluid Bose-Hubbard gas
- Propagation of sound in a Bose Einstein condensate in an optical lattice
- Condition for emergence of complex eigenvalues in the Bogoliubov-de Gennes equations
- Stability Spectroscopy of Rotons in a Dipolar Bose Gas
- Probing condensate order in deep optical lattices
- Metastability, excitations, fluctuations, and multiple-swallowtail structures of a superfluid in a Bose-Einstein condensate in the presence of a uniformly moving defect
- Instability of superfluid Fermi gases induced by a roton-like density mode in optical lattices
- Bogoliubov Excitations in a Kronig-Penney Potential
- Bogoliubov speed of sound for a dilute Bose-Einstein condensate in a 3d optical lattice
- Geometric Stability Spectra of Dipolar Bose Gases in Tunable Optical Lattices
- High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices
- Longitudinal sound mode of a Bose-Einstein condensate in an optical lattice
- Effects of periodic potentials on the critical velocity of superfluid Fermi gases in the BCS-BEC crossover
- Collective excitations of a trapped Bose-Einstein condensate in the presence of weak disorder and a two-dimensional optical lattice
- Oscillations of Bose condensates in a one-dimensional optical superlattice
- Velocity of sound in a Bose-Einstein condensate in the presence of an optical lattice and transverse confinement
- Coarse-Grained Finite-Temperature Theory for the Condensate in Optical Lattices
- Flow-Induced Charge Modulation in Superfluid Atomic Fermions Loaded into an Optical Kagome Lattice
- Superfluidity breakdown of periodic matter waves in quasi one-dimensional annular traps via resonant scattering with moving defects
- Multibranch Bogoliubov-Bloch spectrum of a cigar shaped Bose condensate in an optical lattice
- Unifying treatment of nonequilibrium and unstable dynamics of cold bosonic atom system with time-dependent order parameter in Thermo Filed Dynamics
- Aspects of Superfluid Cold Atomic Gases in Optical Lattices
- Ultracold Bosons with 3-Body Attractive Interactions in an Optical Lattice
- Anomalous Doppler effect in superfluid and supersolid atomic gases
- Analytical study on parameter regions of dynamical instability for two-component Bose--Einstein condensates with coaxial quantized vortices
- Probing Sound Speed of an Optically-Trapped Bose Gas with Periodically Modulated Interactions by Bragg Spectroscopy
- Collective excitation and stability of flow-induced gapless Fermi superfluids
- Semiclassical dynamics of a dark soliton in a one-dimensional bosonic superfluid in an optical lattice
- Exact nonlinear Bloch-state solutions for Bose-Einstein condensates in a periodic array of quantum wells
- Bragg spectroscopy of a cigar shaped Bose condensate in optical lattices
- Unusual behavior of sound velocity of a Bose gas in an optical superlattice at quasi-one-dimension
- Landau and dynamical instabilities of Bose-Einstein condensates with superfluid flow in a Kronig-Penney potential
- Quantum Field Theoretical Analysis on Unstable Behavior of Bose-Einstein Condensates in Optical Lattices
- Optical Lattices: Theory
- Supersolid phase of a spin-orbit-coupled Bose-Einstein condensate: a perturbation approach