Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice

Abstract

We study the quantum dynamics in response to time-dependent external potentials of the edge modes of a small fractional quantum Hall fluid composed of few particles on a lattice in a bosonic Laughlin-like state at filling ν = 1/2. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattices that are available in state-of-the-art experiments, away from the continuum limit. Experimentally-accessible data related to the quantized value of the bulk transverse Hall conductivity are identified both in the linear and the non-linear response to an external excitation. The strong nonlinearity induced by the open boundaries is responsible for sizable quantum blockade effects, leading to the generation of nonclassical states of the edge modes.

arXiv comment4+15 pages

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• Chiral polaron formation on the edge of topological quantum matter
• How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
• Chiral Gravitons on the Lattice
• Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
• Environmental Quantum States Trigger Emission in Nonlinear Photonics
• Berry Phases in the Bosonization of Nonlinear Edge Modes