2022/03/18 by Luca Salasnich, L. Salasnich
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Curvature #Curved space #Eccentricity (behavior) #Ellipse #Geometry #Ground state #Mathematics #Phase (matter) #Phase transition #Physics #Quantum #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #Superfluidity #Waveguide #cond-mat.quant-gas
paper · pdf · doi:10.21468/scipostphyscore.5.1.015
published as SciPost Phys. Core 5, 015 (2022) · 12 pages, 4 figures, to be published in SciPost Physics Core
arxiv created 2022/03/18 · openalex publication_date 2022/03/22 · arxiv updated 2022/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.