Fractional angular momentum in cold atom systems
arXiv:1409.6251 · doi:10.1103/PhysRevLett.113.160404
Abstract
The quantum statistics of bosons or fermions are manifest through even or odd relative angular momentum of a pair. We show theoretically that, under certain conditions, a pair of certain test particles immersed in a fractional quantum Hall state possesses, effectively, a fractional relative angular momentum, which can be interpreted in terms of fractional braid statistics. We propose that the fractionalization of the angular momentum can be detected directly through the measurement of the pair correlation function in rotating ultra-cold atomic systems in the fractional quantum Hall regime. Such a measurement will also provide direct evidence for the effective magnetic field, resulting from Berry phases arising from attached vortices, and of excitations with fractional particle number, analogous to fractional charge of electron fractional quantum Hall effect.
5 pages, 3 figures
References in corpus (23)
- Vortex formation in a stirred Bose-Einstein condensate
- Vortices in a Bose-Einstein Condensate
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Synthetic magnetic fields for ultracold neutral atoms
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Rapidly Rotating Atomic Gases
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Vortex Nucleation in a Stirred Bose-Einstein Condensate
- Driving Bose-Einstein condensate vorticity with a rotating normal cloud
- A synthetic electric force acting on neutral atoms
- Condensation of `composite bosons' in a rotating BEC
- Bose-Einstein Condensates with Large Number of Vortices
- Quantum Hall fractions in rotating Bose-Einstein condensates
- A Composite Fermion Description of Rotating Bose-Einstein Condensates
- Quantum Hall physics in rotating Bose-Einstein condensates
- Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
- Fractional statistics in the fractional quantum Hall effect
- Numerical study of charge and statistics of Laughlin quasi-particles
- Charge and Statistics of Quantum Hall Quasi-Particles. A numerical study of mean values and fluctuations
- Filled Landau levels in neutral quantum gases
- Universality of Many-Body States in Rotating Bose and Fermi Systems
- Rotational properties of two-component Bose gases in the lowest Landau level
Cited by in corpus (30)
- Thirty Years of Composite Fermions and Beyond
- Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
- Interferometric Measurements of Many-body Topological Invariants using Mobile Impurities
- Emergence of fractional statistics for tracer particles in a Laughlin liquid
- 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
- Kohn-Sham Theory of the Fractional Quantum Hall Effect
- Local density approximation for the almost-bosonic anyon gas
- Vortex patterns in the almost-bosonic anyon gas
- Tracing non-Abelian anyons via impurity particles
- Anyonic molecules in atomic fractional quantum Hall liquids: a quantitative probe of fractional charge and anyonic statistics
- A Quantum Impurity Model for Anyons
- Local incompressibility estimates for the Laughlin phase
- Excitation of exciton-polariton vortices in pillar microcavities by a Gaussian beam
- Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
- Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
- Molecular Impurities as a Realization of Anyons on the Two-Sphere
- Emergent Fermi sea in a system of interacting bosons
- Some contributions to many-body quantum mathematics
- Kohn-Sham Density Functional Theory of Abelian Anyons
- Quantum statistics transmutation via magnetic flux attachment
- Quasimomentum distribution and expansion of an anyonic gas
- Properties of 2D anyon gas
- Ground and Low-Lying Collective States of Rotating Three-Boson System
- Synthetic anyons in noninteracting systems
- Anyon-trions in atomically thin semiconductor heterostructures
- Crossover from Integer to Fractional Quantum Hall Effect
- Realization of cyons and anyons by atoms
- An exactly solvable model for anyons with non-Abelian flux