Imaging of quantum Hall states in ultracold atomic gases

Abstract

We examine off-resonant light scattering from ultracold atoms in the quantum Hall regime. When the light scattering is spin dependent, we show that images formed in the far field can be used to distinguish states of the system. The spatial dependence of the far-field images is determined by the two-particle spin-correlation functions, which the images are related to by a transformation. Quasiholes in the system appear in images of the density formed by collecting the scattered light with a microscope, where the quasihole statistics are revealed by the reduction in density at the quasihole position.

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Cited by in corpus (13)

• Controlled manipulation of light by cooperative response of atoms in an optical lattice
• Single-site-resolved measurement of the current statistics in optical lattices
• Edge excitations of bosonic fractional quantum Hall phases in optical lattices
• Characterization of quasiholes in fractional Chern insulators
• Spin-orbit coupling and topological phases for ultracold atoms
• Characterization of quasiholes in two-component fractional quantum Hall states and fractional Chern insulators in $|C|=2$ flat bands
• Stochastic electrodynamics simulations for collective atom response in optical cavities
• Fragility of the fractional quantum spin Hall effect in quantum gases
• Matter-wave scattering from interacting bosons in an optical lattice
• Optical signatures of antiferromagnetic ordering of fermionic atoms in an optical lattice
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Cavity quantum electrodynamics of continuously monitored Bose-condensed atoms
• Scattering distributions in the presence of measurement backaction