Finite-size effects on the Bose-Einstein condensation critical temperature in a harmonic trap
arXiv:1603.07975 · doi:10.1016/j.physleta.2015.10.052
Abstract
We obtain second and higher order corrections to the shift of the Bose-Einstein critical temperature due to finite-size effects. The confinement is that of a harmonic trap with general anisotropy. Numerical work shows the high accuracy of our expressions. We draw attention to a subtlety involved in the consideration of experimental values of the critical temperature in connection with analytical expressions for the finite-size corrections.
arXiv comment5 pages, 2 eps figures
References in corpus (25)
- Theory of Bose-Einstein condensation in trapped gases
- Condensate fraction and critical temperature of a trapped interacting Bose gas
- 39-K Bose-Einstein condensate with tunable interactions
- Bose-Einstein condensation of atomic gases in a harmonic oscillator confining potential trap
- The critical temperature of a trapped, weakly interacting Bose gas
- Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
- A more accurate analysis of Bose-Einstein condensation in harmonic traps
- Critical temperature of a trapped Bose gas: comparison of theory and experiment
- Bose-Einstein Condensation in Anisotropic Harmonic Traps
- T_c for trapped dilute Bose gases: a second-order result
- Density of states for Bose-Einstein condensation in harmonic oscillator potentials
- Critical Temperature of a Trapped Bose Gas: Mean-Field Theory and Fluctuations
- Condensed Fraction of an Atomic Bose Gas Induced by Critical Correlations
- Bose-Einstein condensation with a finite number of particles in a power-law trap
- Trapped Bose-Einstein condensates with Planck-scale induced deformation of the energy-momentum dispersion relation
- Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential
- Ideal-Modified Bosonic Gas Trapped in an Arbitrary Three Dimensional Power-Law Potential
- Thermodynamics of a trapped interacting Bose gas and the renormalization group
- Nonperturbative Effects on T_c of Interacting Bose Gases in Power-Law Traps
- Bose-Einstein condensation in the three-sphere and the infinite slab: analytical results
- Condensate fraction and critical temperature of interacting Bose gas in anharmonic trap
- Statistical mechanics of an ideal Bose gas in a confined geometry
- Critical correlations in an ultracold Bose gas revealed by means of a temporal Talbot-Lau interferometer
- Interaction effects on atomic laboratory trapped Bose-Einstein condensates
- Origin of nonlinear contribution to the shift of the critical temperature in atomic Bose-Einstein condensates
Cited by in corpus (5)
- Analytical theory of enhanced Bose-Einstein condensation in thin films
- Bose-Einstein condensation temperature of finite systems
- Representations for the derivative at zero and finite parts of the Barnes zeta function
- Bose-Einstein statistics for a finite number of particles
- Condensation temperature of strongly interacting condensates in the mean-field and semi-classical approximations