Collective excitations in Bose-Einstein condensates in triaxially anisotropic parabolic traps
Andr\'as Csord\'as (Research Group for Statistical Physics of the, Hungarian Academy of Sciences, Budapest, Hungary), Robert Graham, (Fachbereich Physik, Universit\"at-Gesamthochschule Essen, Germany)
TL;DR
This paper provides an analytical solution for low-frequency collective excitations in Bose-Einstein condensates confined in arbitrarily anisotropic harmonic traps, using the Thomas-Fermi approximation and elliptic coordinate separation.
Contribution
It offers a complete analytical solution for mode functions and eigenfrequencies in anisotropic traps, advancing understanding of condensate excitations.
Findings
Mode functions are polynomials of finite order.
Eigenfrequencies are characterized by three quantum numbers.
Solution applies to arbitrary anisotropic harmonic traps.
Abstract
The wave equation of low-frequency density waves in Bose-Einstein condensates at vanishing temperature in arbitrarily anisotropic harmonic traps is separable in elliptic coordinates, provided the condensate can be treated in the Thomas-Fermi approximation. We present a complete solution of the mode functions, which are polynomials of finite order, and their eigenfrequencies which are characterized by three integer quantum numbers.
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.