Quantum nonlinear optics on the edge of small lattice fractional quantum Hall fluids

• URL: http://arxiv.org/abs/2403.10598v2
• Date: Wed, 20 Mar 2024 09:21:37 GMT
• Title: Quantum nonlinear optics on the edge of small lattice fractional quantum Hall fluids
• Authors: Alberto Nardin, Daniele De Bernardis, Rifat Onur Umucalilar, Leonardo Mazza, Matteo Rizzi, Iacopo Carusotto,
• Abstract summary: We study the quantum dynamics of the edge modes of lattice fractional quantum Hall liquids in response to time-dependent external potentials. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattice geometries.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the quantum dynamics of the edge modes of lattice fractional quantum Hall liquids in response to time-dependent external potentials. We show that the nonlinear chiral Luttinger liquid theory provides a quantitatively accurate description even for the small lattice geometries away from the continuum limit that are available in state-of-the-art experiments. Experimentally accessible signatures of 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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