Bose-Einstein Condensation in Anisotropic Harmonic Traps
T. Haugset, H. Haugerud, J. O. Andersen
TL;DR
This paper investigates the thermodynamics of an ideal bosonic gas in anisotropic harmonic traps, analyzing condensate formation, specific heat, and effects of dimensionality and ensemble choice.
Contribution
It provides a detailed analysis of Bose-Einstein condensation in anisotropic traps, including finite particle effects and lower-dimensional systems, using the Euler-Maclaurin approximation.
Findings
No true phase transition for finite particles
Identifies a well-defined condensation temperature
Shows dependence of condensate fraction on ensemble and dimension
Abstract
We study the thermodynamic behaviour of an ideal gas of bosons trapped in a three-dimensional anisotropic harmonic oscillator potential. The condensate fraction as well as the specific heat is calculated using the Euler-Maclaurin approximation. For a finite number of particles there is no phase transition, but there is a well defined temperature at which the condensation starts. We also consider condensation in lower dimensions, and for one-dimensional systems we discuss the dependence of the condensate fraction and heat capacity on the ensemble used.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.