Vortex structure and spectrum of atomic Fermi superfluid in a spherical bubble trap

Abstract

The structures of multiply quantized vortices (MQVs) of an equal-population atomic Fermi superfluid in a rotating spherical bubble trap approximated as a thin shell are analyzed by solving the Bogoliubov-de Gennes (BdG) equation throughout the BCS-Bose Einstein condensation (BEC) crossover. Consistent with the Poincare-Hopf theorem, a pair of vortices emerge at the poles of the rotation axis in the presence of azimuthal symmetry, and the compact geometry provides confinement for the MQVs. While the single-vorticity vortex structure is similar to that in a planar geometry, higher-vorticity vortices exhibit interesting phenomena at the vortex center, such as a density peak due to accumulation of a normal Fermi gas and reversed circulation of current due to in-gap states carrying angular momentum, in the BCS regime but not the BEC regime because of the subtle relations between the order parameter and density. The energy spectrum shows the number of the in-gap state branches corresponds to the vorticity of a vortex, and an explanation based on a topological correspondence is provided.

arXiv comment10 pages, 6 figures

References in corpus (34)

• Topological Insulators
• Topological insulators and superconductors
• Topological Field Theory of Time-Reversal Invariant Insulators
• Classification of topological quantum matter with symmetries
• Vortex phase diagram for mesoscopic superconducting disks
• Experimental Evidence for Giant Vortex States in a Mesoscopic Superconducting Disk
• Dynamical Instability of a Doubly Quantized Vortex in a Bose-Einstein condensate
• Vortices in Superfluid Films on Curved Surfaces
• Giant hole and circular superflow in a fast rotating Bose-Einstein condensate
• Multiply quantized vortices in trapped Bose-Einstein condensates
• From the Bogoliubov-de Gennes equations for superfluid fermions to the Gross-Pitaevskii equation for condensed bosons
• Vortices in Superfluid Fermi Gases through the BEC to BCS Crossover
• Observation of ultracold atomic bubbles in orbital microgravity
• Symmetry-induced giant vortex state in a superconducting film with a Penrose array of magnetic pinning centers
• Vortex-antivortex physics in shell-shaped Bose-Einstein condensates
• Microscopic Structure of a Vortex Line in a Superfluid Fermi Gas
• Giant Vortex Lattice Deformations in Rapidly Rotating Bose-Einstein Condensates
• Dynamically stable multiply quantized vortices in dilute Bose-Einstein condensates
• Low-dimensional quantum gases in curved geometries
• Electronic structure of multiquantum giant vortex states in mesoscopic superconducting disks
• Perspective on Quantum Bubbles in Microgravity
• Mass-driven vortex collisions in flat superfluids
• Ground-state multiquantum vortices in rotating two-species superfluids
• Ground State Description of a Single Vortex in an Atomic Fermi gas: From BCS to Bose-Einstein Condensation
• Multiply quantized vortices in fermionic superfluids: angular momentum, unpaired fermions, and spectral asymmetry
• BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap
• Generation of high winding-number superfluid circulation in Bose-Einstein condensates
• Machine learning of XY model on a spherical Fibonacci lattice
• Spin-polarized vortices with reversed circulation
• Giant vortex in a fast rotating holographic superfluid
• A Theory of Giant Vortices
• Giant vortices in rotating electron droplets
• Majorana Modes of Giant Vortices
• Zero Modes of Fermions Trapped by Giant Vortices

Cited by in corpus (7)

• Shell-shaped atomic gases
• Quantum Vortices in Curved Geometries
• Breaking and trapping Cooper pairs by Rydberg-molecule spectroscopy in atomic Fermi superfluids
• Two-component repulsive atomic Fermi gases in a thin spherical shell
• Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates
• Repulsive fermions and shell effects on the surface of a sphere
• Two-component atomic Fermi superfluid with spin-orbital coupling in thin spherical-shell geometry