Spinor Condensates on a Cylindrical Surface in Synthetic Gauge Fields

Abstract

We point out that by modifying the setup of a recent experiment that generates a Dirac string, one can create a quasi 2D spinor Bose condensate on a cylindrical surface with a synthetic magnetic field pointing radially outward from the cylindrical surface. The synthetic magnetic field takes the form of the Landau gauge. It is generated by the Berry's phase of a spin texture, frozen by an external quadrupolar magnetic field. Unlike in the planar case, there are two types of vortices (called A and B) with the same vorticity. The ground state for $5\le S\le 9$ consists of a row of alternating AB vortices lying at the equatorial circle of the cylinder. For higher values of $S$, the A and B vortices split into two rows and are displaced from each other along the cylindrical axis $z$. The fact that many properties of a BEC are altered in a cylindrical surface implies many rich phenomena will emerge for ground states in curved surfaces.

4+εpages, 4 figures

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• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Non-Abelian gauge fields and topological insulators in shaken optical lattices
• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Charge inhomogeneities due to smooth ripples in graphene sheets
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Cited by in corpus (15)

• Curving the space by non-Hermiticity
• Low-dimensional quantum gases in curved geometries
• Quantized superfluid vortex dynamics on cylindrical surfaces and planar annuli
• Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder
• Superfluid vortex dynamics on an ellipsoid and other surfaces of revolution
• Superfluid vortex dynamics on a spherical film
• Emergent periodic and quasiperiodic lattices on surfaces of synthetic Hall tori and synthetic Hall cylinders
• Synthetic Landau levels and spinor vortex matter on Haldane spherical surface with magnetic monopole
• Shell-Shaped Quantum Droplet in a Three-Component Ultracold Bose Gas
• Superfluid Vortex Dynamics on Planar Sectors and Cones
• Emergent Gauge Field for a Chiral Bound State on Curved Surface
• Spontaneous dipolar Bose-Einstein condensation on the surface of a cylinder
• Artificial magnetic field for synthetic quantum matter without dynamical modulation
• Topological spinor vortex matter on spherical surface induced by non-Abelian spin-orbital-angular-momentum coupling
• Expansion dynamics of a cylindrical-shell-shaped strongly dipolar condensate