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
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- Quantum Vortices in Curved Geometries
- Engineering phase and density of Bose-Einstein condensates in curved waveguides with toroidal topology
- Dispersion Managed Elliptical Atomtronics for Interferometry
- Bose-Einstein condensation in exotic lattice geometries
- Geometric potential for a Bose-Einstein condensate on a curved surface
- Controlled acoustic-driven vortex transport in coupled superfluid rings