PGPE theory of finite temperature collective modes for a trapped Bose gas

Abstract

We develop formalism based on the projected Gross Pitaevskii equation to simulate the finite temperature collective mode experiments of Jin et al. [PRL 78, 764 (1997)]. We examine the $m=0$ and $m=2$ quadrupolar modes on the temperature range $0.51T_c-0.83T_c$ and calculate the frequencies of, and phase between, the condensate and noncondensate modes, and the condensate mode damping rate. This study is the first quantitative comparison of the projected Gross-Pitaevskii equation to experimental results in a dynamical regime.

arXiv comment15 pages, 16 figures

References in corpus (44)

• Collective excitations of a trapped Bose-condensed gas
• Bragg spectroscopy of a Bose-Einstein condensate
• Conserving and Gapless Approximations for an Inhomogeneous Bose Gas at Finite Temperatures
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• A Dynamical Approach to Temperature
• Collective excitations of atomic Bose-Einstein condensates
• Finite Temperature Models of Bose-Einstein Condensation
• Finite temperature excitations of a trapped Bose gas
• The stochastic Gross-Pitaevskii equation II
• The critical temperature of a trapped, weakly interacting Bose gas
• Collective excitations of Bose-Einstein condensed gases at finite temperatures
• Two-Fluid Hydrodynamics for a Trapped Weakly-Interacting Bose Gas
• A Gapless Theory of Bose-Einstein Condensation in Dilute Gases at Finite Temperature
• The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
• Collisionless dynamics of dilute Bose gases: Role of quantum and thermal fluctuations
• Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
• Gapless finite-$T$ theory of collective modes of a trapped gas
• Critical temperature of a trapped Bose gas: comparison of theory and experiment
• Temperature Dependence of Damping and Frequency Shifts of the Scissors Mode of a trapped Bose-Einstein Condensate
• Modelling Bose-condensed gases at finite temperatures with $N$-body simulations
• Dynamics of thermal Bose fields in the classical limit
• Quadrupole collective modes in trapped finite-temperature Bose-Einstein condensates
• Two-fluid dynamics for a Bose-Einstein condensate out of local equilibrium with the non-condensate
• Microcanonical temperature for a classical field: application to Bose-Einstein condensation
• Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases
• Quantitative test of thermal field theory for Bose-Einstein condensates
• Quantum depletion of collapsing Bose-Einstein condensates
• Shifts and widths of collective excitations in trapped Bose gases by the dielectric formalism
• The response of Bose-Einstein condensates to external perturbations at finite temperature
• Collisionless modes of a trapped Bose gas
• Collisionless modes of a trapped Bose gas
• Properties of the stochastic Gross-Pitaevskii equation: Projected Ehrenfest relations and the optimal plane wave basis
• Superfluidity of an interacting trapped quasi-2D Bose gas
• Numerical method for evolving the Projected Gross-Pitaevskii equation
• Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation
• Linear density response in the random phase approximation for confined Bose vapours at finite temperature
• Kinetic Theory of Collective Excitations and Damping in Bose-Einstein Condensed Gases
• Calculation of the microcanonical temperature for the classical Bose field
• Classical Region of a Trapped Bose Gas
• Two point correlations of a trapped interacting Bose gas at finite temperature
• Quantitative test of thermal field theory for Bose-Einstein condensates II
• A Closed Class of Hydrodynamical Solutions for the Collective Excitations of a Bose-Einstein Condensate
• Temperature-Dependent Frequency Shifts in Collective Excitations of a Bose-Einstein Condensate
• Novel Dynamical Resonances in Finite-Temperature Bose-Einstein Condensates

Cited by in corpus (16)

• Decay of a quantum vortex: test of non-equilibrium theories for warm Bose-Einstein condensates
• Quasicondensation and coherence in the quasi-two-dimensional trapped Bose gas
• The stochastic projected Gross-Pitaevskii equation
• Stochastic Projected Gross-Pitaevskii equation for spinor and multi-component condensates
• Numerical method for the stochastic projected Gross-Pitaevskii equation
• Many-body physics in the classical-field description of a degenerate Bose gas
• Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
• Superflow decay in a toroidal Bose gas: The effect of quantum and thermal fluctuations
• Finite-temperature dynamics of a single vortex in a Bose-Einstein condensate: Equilibrium precession and rotational symmetry breaking
• Collapse and revival of the monopole mode of a degenerate Bose gas in an isotropic harmonic trap
• Constructing classical field for a Bose-Einstein condensate in arbitrary trapping potential; quadrupole oscillations at nonzero temperatures
• Complex wave fields in the interacting one-dimensional Bose gas
• Effects of classical stochastic webs on the quantum dynamics of cold atomic gases in a moving optical lattice
• Temporal correlations of elongated Bose gases at finite temperature
• Self-Energy Renormalization for Inhomogeneous Nonequilibrium Systems and Field Expansion via Complete Set of Time-Dependent Wave Functions
• Nonequilibrium Thermo Field Dynamics Using 4x4-Matrix Transformation for System with Bose--Einstein Condensation