Quantum Nonlinear Optics on the Edge of a Few-Particle Fractional Quantum Hall Fluid in a Small Lattice

Year: 2024

Type: article

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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.133.183401

Authors: Alberto Nardin, Daniele De Bernardis, Rifat Onur Umucalılar, Leonardo Mazza, Matteo Rizzi, Iacopo Carusotto

Institutions: Université Paris-Sud, Université Paris-Saclay, Laboratoire de Physique Théorique et Modèles Statistiques, European Laboratory for Non-Linear Spectroscopy, University of Trento, Mimar Sinan Güzel Sanatlar Üniversitesi, Forschungszentrum Jülich, University of Cologne

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Deutsche Forschungsgemeinschaft, Agence Nationale de la Recherche, Provincia Autonoma di Trento, Horizon 2020 Framework Programme, Multidisciplinary University Research Initiative, H2020 European Research Council

OpenAlex ID: W4392971916