Topological superfluid transition in bubble-trapped condensates
arXiv:2104.04585 · doi:10.1103/PhysRevResearch.4.013122
Abstract
Ultracold quantum gases are highly controllable and, thus, capable of simulating difficult quantum many-body problems ranging from condensed matter physics to astrophysics. Although experimental realizations have so far been restricted to flat geometries, recently also curved quantum systems, with the prospect of exploring tunable geometries, are produced in microgravity facilities as ground-based experiments are technically limited. Here we analyze bubble-trapped condensates, in which the atoms are confined on the surface of a thin spherically-symmetric shell by means of external magnetic fields. A thermally-induced proliferation of vorticity yields a vanishing of superfluidity. We describe the occurrence of this topological transition by conceptually extending the theory of Berezinskii, Kosterlitz and Thouless for infinite uniform systems to such finite-size systems. Unexpectedly, we find universal scaling relations for the mean critical temperature and the finite width of the superfluid transition. Furthermore, we elucidate how they could be experimentally observed in finite-temperature hydrodynamic excitations.
9 pages, 3 figures
References in corpus (12)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Extension of Bogoliubov theory to quasi-condensates
- Ultracold atoms confined in rf-induced two-dimensional trapping potentials
- Observation of ultracold atomic bubbles in orbital microgravity
- Ground state energy of the two-dimensional weakly interacting Bose gas: First correction beyond Bogoliubov theory
- Large-scale Monte Carlo simulation of two-dimensional classical XY model using multiple GPUs
- Bose-Einstein condensates in RF-dressed adiabatic potentials
- Thermodynamics in expanding shell-shaped Bose-Einstein condensates
- Superfluid and Mott Insulating shells of bosons in harmonically confined optical lattices
- Condensation and superfluidity of dilute Bose gases with finite-range interaction
- Sound modes in collisional superfluid Bose gases
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- Perspective on Quantum Bubbles in Microgravity
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- Shell-shaped Bose-Einstein condensates realized with dual-species mixtures
- Supersolid phases of bosonic particles in a bubble trap
- Shell-shaped atomic gases
- Equatorial Waves in Rotating Bubble-Trapped Superfluids
- Scattering theory and equation of state of a spherical two-dimensional Bose gas
- Triangular vortex lattices and giant vortices in rotating bubble Bose-Einstein condensates
- BCS-BEC crossover of atomic Fermi superfluid in a spherical bubble trap
- Colloquium: Synthetic quantum matter in non-standard geometries
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- Machine learning of XY model on a spherical Fibonacci lattice
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- Berezinskii-Kosterlitz-Thouless phase transition with Rabi-coupled bosons
- Quantum Vortices in Curved Geometries
- Induced supersolidity and hypersonic flow of a dipolar Bose-Einstein Condensate in a rotating bubble trap
- Faraday waves on a bubble Bose-Einstein condensed binary mixture
- Bose-Einstein condensates and the thin-shell limit in anisotropic bubble traps
- Quantum Simulations with Bilayer 2D Bose Gases in Multiple-RF-dressed Potentials
- Two-component repulsive atomic Fermi gases in a thin spherical shell
- Effects of gravity on supersolid order in bubble-trapped bosons
- Bose-Einstein condensation in exotic lattice geometries
- Simulating the Berezinskii-Kosterlitz-Thouless Transition with Complex Langevin
- All-optical bubble trap for ultracold atoms in microgravity
- Finite-size effects in the two-dimensional BCS-BEC crossover
- Confinement-Induced Resonances in Spherical Shell Traps
- Onsager vortex clusters on a sphere
- Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates
- Holographic homogeneous superfluid on the sphere
- Shell-shaped condensates with gravitational sag: contact and dipolar interactions
- Geometric potential for a Bose-Einstein condensate on a curved surface
- Machine learning of the Ising model on a spherical Fibonacci lattice
- Two-component atomic Fermi superfluid with spin-orbital coupling in thin spherical-shell geometry
- Stability of dark solitons in a bubble Bose-Einstein condensate