Geometric phases of a vortex in a superfluid
arXiv:2101.07438 · doi:10.1103/PhysRevA.104.L041305
Abstract
We consider geometric phases of mobile quantum vortices in superfluid Bose-Einstein condensates. Haldane and Wu [Phys. Rev. Lett. 55, 2887 (1985)] showed that the geometric phase, , of such a vortex is determined by the number of condensate atoms enclosed by the vortex trajectory. Considering an experimentally realistic freely orbiting vortex leads to an apparent disagreement with this prediction. We resolve it using the superfluid electrodynamics picture, which allows us to identify two additional contributions to the measured geometric phase; (i) a topologically protected edge current of vortices at the condensate boundary, and (ii) a superfluid displacement current. Our results generalise to, and pave the way for experimental measurements of vortex geometric phases using scalar and spinor Bose--Einstein condensates, and superfluid Fermi gases.
arXiv comment8 pages, 7 figures, 5 videos. Submitted to Physical Review Letters
References in corpus (28)
- Non-Abelian Anyons and Topological Quantum Computation
- Vortices in a Bose-Einstein Condensate
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- A Duality Web in 2+1 Dimensions and Condensed Matter Physics
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Vortex precession in Bose-Einstein condensates: observations with filled and empty cores
- Particle-Vortex Duality from 3d Bosonization
- Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
- Dual Dirac liquid on the surface of the electron topological insulator
- Explicit derivation of duality between a free Dirac cone and quantum electrodynamics in (2+1) dimensions
- Motion of a Solitonic Vortex in the BEC-BCS Crossover
- Transverse force on a quantized vortex in a superfluid
- Introduction to topological quantum computation with non-Abelian anyons
- Observation of two-species vortex lattices in a mixture of mass-imbalance Bose and Fermi superfluids
- Interferometric measurement of the current-phase relationship of a superfluid weak link
- Geometric squeezing into the lowest Landau level
- Vortex reconnections and rebounds in trapped atomic Bose--Einstein condensates
- In situ imaging of vortices in Bose-Einstein condensates
- Interferometric detection of a single vortex in a dilute Bose-Einstein condensate
- Motion of vortices in inhomogeneous Bose-Einstein condensates
- Vortex Mass in a Superfluid
- Vortex mass in a superfluid at low frequencies
- Abe homotopy classification of topological excitations under the topological influence of vortices
- Surface modes and vortex formation in dilute Bose-Einstein condensates at finite temperatures
- Braiding and fusion of non-Abelian vortex anyons
- Gravitational vortex mass in a superfluid
- Adiabaticity Criterion for Moving Vortices in Dilute Bose-Einstein Condensates
- Topological influence and back-action between topological excitations