Bose-Einstein condensate in an elliptical waveguide
arXiv:2203.09922 · doi:10.21468/SciPostPhysCore.5.1.015
Abstract
We investigate the effects of spatial curvature for an atomic Bose-Einstein condensate confined in an elliptical waveguide. The system is well described by an effective 1D Gross-Pitaevskii equation with a quantum-curvature potential, which has the shape of a double-well but crucially depends on the eccentricity of the ellipse. The ground state of the system displays a quantum phase transition from a two-peak configuration to a one-peak configuration at a critical attractive interaction strength. In correspondence of this phase transition the superfluid fraction strongly reduces and goes to zero for a sufficiently attractive Bose-Bose interaction.
12 pages, 4 figures, to be published in SciPost Physics Core
References in corpus (5)
- Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
- Matter-wave vortices in cigar-shaped and toroidal waveguides
- One-dimensional description of a Bose-Einstein condensate in a rotating closed-loop waveguide
- Probing the supersolid order via high-energy scattering: analytical relations among response, density modulation, and superfluid fraction
- Dimensional reduction in Bose-Einstein condensed clouds of atoms confined in tight potentials of any geometry and any interaction strength