Classical Region of a Trapped Bose Gas
arXiv:cond-mat/0508669 · doi:10.1088/0953-4075/40/11/007
Abstract
The classical region of a Bose gas consists of all single-particle modes that have a high average occupation and are well-described by a classical field. Highly-occupied modes only occur in massive Bose gases at ultra-cold temperatures, in contrast to the photon case where there are highly-occupied modes at all temperatures. For the Bose gas the number of these modes is dependent on the temperature, the total number of particles and their interaction strength. In this paper we characterize the classical region of a harmonically trapped Bose gas over a wide parameter regime. We use a Hartree-Fock approach to account for the effects of interactions, which we observe to significantly change the classical region as compared to the idealized case. We compare our results to full classical field calculations and show that the Hartree-Fock approach provides a qualitatively accurate description of classical region for the interacting gas.
6 pages, 5 figures; updated to include new results with interactions
References in corpus (7)
- The Projected Gross-Pitaevskii Equation for harmonically confined Bose gases
- Thermal activation of vortex-antivortex pairs in quasi-2D Bose-Einstein condensates
- Critical temperature of a trapped Bose gas: comparison of theory and experiment
- Effect of quantum fluctuations on the dipolar motion of Bose-Einstein condensates in optical lattices
- Quantum depletion of collapsing Bose-Einstein condensates
- Properties of the stochastic Gross-Pitaevskii equation: Projected Ehrenfest relations and the optimal plane wave basis
- Calculation of the microcanonical temperature for the classical Bose field
Cited by in corpus (20)
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Quantum hydrodynamics
- Bose-Einstein Condensation from a Rotating Thermal Cloud: Vortex Nucleation and Lattice Formation
- 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
- A comparison between microscopic methods for finite temperature Bose gases
- Numerical method for evolving the Projected Gross-Pitaevskii equation
- Superfluidity of an interacting trapped quasi-2D Bose gas
- Low-Dimensional Stochastic Projected Gross-Pitaevskii Equation
- Numerical method for evolving the dipolar projected Gross-Pitaevskii equation
- PGPE theory of finite temperature collective modes for a trapped Bose gas
- Collapse and revival of the monopole mode of a degenerate Bose gas in an isotropic harmonic trap
- Transition region properties of a trapped quasi-two-dimensional degenerate Bose gas
- Finite-temperature phase transitions in quasi-two-dimensional spin-1 Bose gases
- Classical fields in the one-dimensional Bose gas: applicability and determination of the optimal cutoff
- Quantitative test of mean-field description of a trapped two-dimensional Bose gas
- Complex wave fields in the interacting one-dimensional Bose gas
- Calorimetry of Bose-Einstein condensates
- Decay of phase-imprinted dark soliton in Bose-Einstein condensate at non-zero temperature
- Observing phase jumps of solitons in Bose-Einstein condensates