Collective excitations of a dilute Bose gas at finite temperature: TDHFB Theory
arXiv:1710.04003 · doi:10.1088/1751-8121/aa8a0e
Abstract
Using the time-dependent Hartree-Fock-Bogoliubov approach, where the condensate is coupled with the thermal cloud and the anomalous density, we study the equilibrium and the dynamical properties of three-dimensional quantum-degenerate Bose gas at finite temperature. Effects of the anomalous correlations on the condensed fraction and the critical temperature are discussed. In uniform Bose gas, useful expressions for the Bogoliubov excitations spectrum, the first and second sound, the condensate depletion and the superfluid fraction are derived. Our results are tested by comparing the findings computed by Quantum Monte Carlo simulations. We present also a systematic investigation of the collective modes of a Bose condensate confined in an external trap. Our predictions are in qualitative agreement with previous experimental and theoretical results. We show in particular that our theory is capable of explaining the so-called anomalous behavior of the m=0 mode.
arXiv comment15 pages, 5 figures, published version
References in corpus (49)
- Theory of Bose-Einstein condensation in trapped gases
- Collective excitations of a trapped Bose-condensed gas
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Conserving and Gapless Approximations for an Inhomogeneous Bose Gas at Finite Temperatures
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Exciting Collective Oscillations in a Trapped 1D Gas
- Excitation of phonons in a Bose-Einstein condensate by light scattering
- The Excitation Spectrum of a Bose-Einstein Condensate
- Collective excitations of atomic Bose-Einstein condensates
- Condensate fraction and critical temperature of a trapped interacting Bose gas
- Finite Temperature Models of Bose-Einstein Condensation
- Dynamics of Bose condensed gases in highly deformed traps
- Quantum Monte Carlo Calculations for a large number of bosons in a harmonic trap
- Formation of Pairing Fields in Resonantly Coupled Atomic and Molecular Bose-Einstein Condensates
- Quantum Kinetic Theory of Condensate Growth---Comparison of Experiment and Theory
- Two-Fluid Hydrodynamics for a Trapped Weakly-Interacting Bose Gas
- A Gapless Theory of Bose-Einstein Condensation in Dilute Gases at Finite Temperature
- Microscopic Treatment of Binary Interactions in the Non-Equilibrium Dynamics of Partially Bose-condensed Trapped Gases
- Collisionless dynamics of dilute Bose gases: Role of quantum and thermal fluctuations
- Microscopic theory of atom-molecule oscillations in a Bose-Einstein condensate
- Quantum Kinetic Theory for a Condensed Bosonic Gas
- Gapless finite- theory of collective modes of a trapped gas
- Quench-induced breathing mode of one-dimensional Bose gases
- Representative statistical ensembles for Bose systems with broken gauge symmetry
- Variational Thomas-Fermi Theory of a Nonuniform Bose Condensate at Zero Temperature
- Quadrupole collective modes in trapped finite-temperature Bose-Einstein condensates
- Precision Monte Carlo Test of the Hartree-Fock Approximation for a trapped Bose Gas
- Two-dimensional dipolar Bose gas with the roton-maxon excitation spectrum
- First and second sound in a uniform Bose gas
- Incoherent matter-wave solitons
- Quantitative test of thermal field theory for Bose-Einstein condensates
- Beliaev technique for a weakly interacting Bose gas
- Collisionless modes of a trapped Bose gas
- Collisionless modes of a trapped Bose gas
- Self-localized state and solitons in a Bose-Einstein-condensate-impurity mixture at finite temperature
- Behavior of the anomalous correlation function in uniform 2D Bose gas
- On the anomalous density for Bose gases at finite temperature
- Many-body physics in the classical-field description of a degenerate Bose gas
- Kinetic Theory of Collective Excitations and Damping in Bose-Einstein Condensed Gases
- Generalized coherent state representation of Bose-Einstein condensates
- Self-consistent theory of Bose-Einstein condensate with impurity at finite temperature
- Variational self-consistent theory for trapped Bose gases at finite temperature
- Spontaneous formation of bright solitons in self-localized impurities in Bose-Einstein condensate
- Superfluidity and Bose-Einstein condensation in a dipolar Bose gas with weak disorder
- Collective modes of a one-dimensional trapped Bose gas in the presence of the anomalous density
- Collective modes and generation of a new vortex in a trapped Bose gas at finite temperature
- Many-body effects in the excitation spectrum of weakly-interacting Bose-Einstein condensates in one-dimensional optical lattices
- The Poisson structure of the mean-field equations in the Phi^4 theory
- Normal and anomalous densities in Bose-Einstein condensate with optical lattices
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