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

• URL: http://arxiv.org/abs/2403.10598v3
• Date: Wed, 11 Dec 2024 08:23:52 GMT
• Title: Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• Authors: Alberto Nardin, Daniele De Bernardis, Rifat Onur Umucalilar, Leonardo Mazza, Matteo Rizzi, Iacopo Carusotto,
• Abstract summary: We study the quantum dynamics in response to time-dependent external potentials of the edge modes of a small fractional quantum Hall fluid. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattices.
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• 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 {\nu} = 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.

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