Time-of-Flight Measurements as a Possible Method to Observe Anyonic Statistics
arXiv:1712.07940 · doi:10.1103/PhysRevLett.120.230403
Abstract
We propose a standard time-of-flight experiment as a method for observing the anyonic statistics of quasiholes in a fractional quantum Hall state of ultracold atoms. The quasihole states can be stably prepared by pinning the quasiholes with localized potentials and a measurement of the mean square radius of the freely expanding cloud, which is related to the average total angular momentum of the initial state, offers direct signatures of the statistical phase. Our proposed method is validated by Monte Carlo calculations for and fractional quantum Hall liquids containing a realistic number of particles. Extensions to quantum Hall liquids of light and to non-Abelian anyons are briefly discussed.
Title change, enhanced Supplemental Material, almost published version (to appear in Phys. Rev. Lett.)
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- Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
- Vortex patterns in the almost-bosonic anyon gas
- Tracing non-Abelian anyons via impurity particles
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- Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
- Real-space probe for lattice quasiholes
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- Ring-shaped fractional quantum Hall liquids with hard-wall potentials
- Quantum statistics transmutation via magnetic flux attachment
- Anyonic braiding via quench dynamics in fractional quantum Hall liquids
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- Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap
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- Properties of 2D anyon gas
- Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
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