Vortex patterns in the almost-bosonic anyon gas
arXiv:1901.10739 · doi:10.1209/0295-5075/126/20005
Abstract
We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a mean-field energy functional, whose ground state displays vortex lattices similar to those found in rotating Bose-Einstein condensates. A crucial difference is however that the vortex density is proportional to the underlying matter density of the gas.
References in corpus (16)
- Non-Abelian Anyons and Topological Quantum Computation
- Rapidly Rotating Atomic Gases
- Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method
- Computation of Ground States of the Gross-Pitaevskii Functional via Riemannian Optimization
- Emergence of fractional statistics for tracer particles in a Laughlin liquid
- Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
- Fractional angular momentum in cold atom systems
- Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
- Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
- Creating and manipulating non-Abelian anyons in cold atom systems using auxiliary bosons
- Anyonic statistics of quantum impurities in two dimensions
- Many-anyon trial states
- Local density approximation for the almost-bosonic anyon gas
- Vortex dynamics in superfluids governed by an interacting gauge theory
- Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates
- Quantized vortices in interacting gauge theories
Cited by in corpus (15)
- A Quantum Impurity Model for Anyons
- Synthetic Flux Attachment
- Vortex patterns of atomic Bose-Einstein condensates in a density-dependent gauge potential
- Average Field Approximation for Almost Bosonic Anyons in a Magnetic Field
- Molecular Impurities as a Realization of Anyons on the Two-Sphere
- Magnetic Perturbations of Anyonic and Aharonov-Bohm Schrödinger Operators
- Few-to-many vortex states of density-angular-momentum coupled Bose-Einstein condensates
- Schrödinger operators with multiple Aharonov-Bohm fluxes
- Semiclassical limit for almost fermionic anyons
- Properties of 2D anyon gas
- Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
- Excitation spectrum of vortex-lattice modes in a rotating condensate with a density-dependent gauge potential
- Quantum kinetic theory of flux-carrying Brownian particles
- Differential Equations of Quantum Mechanics
- 2D magnetic stability