Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets

Year: 2023

Authors: Nardin A., Carusotto I.

Autors Affiliation: Univ Trento, BEC Ctr, CNR, INO, Via Sommar 14, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, Via Sommar 14, I-38123 Trento, Italy.

Abstract: We report numerical studies of the linear and nonlinear edge dynamics of a non-harmonically-confined macroscopic fractional quantum Hall fluid. In the long-wavelength and weak excitation limit, observable consequences of the fractional transverse conductivity are recovered. The first nonuniversal corrections to the chiral Luttinger liquid theory are then characterized: for a weak excitation in the linear response regime, cubic corrections to the linear wave dispersion and a broadening of the dynamical structure factor of the edge excitations are identified; for stronger excitations, sizable nonlinear effects are found in the dynamics. The numerically observed features are quantitatively captured by a nonlinear chiral Luttinger liquid quantum Hamiltonian that reduces to a driven Korteweg-de Vries equation in the semiclassical limit. Experimental observability of our predictions is finally discussed.

Journal/Review: PHYSICAL REVIEW A

Volume: 107 (3)      Pages from: 33320-1  to: 33320-13

More Information: We acknowledge financial support from the H2020- FETFLAG-2018-2020 project ’PhoQuS’ (Grant No. 820392) . I.C. acknowledges financial support from the Provincia Autonoma di Trento and from the Q@TN initiative. Continuous discussions with Elia Macaluso, Zeno Bacciconi, and Daniele De Bernardis are warmly acknowledged.
KeyWords: States; Excitations; Liquids; Anyons; Bosons; Fluid
DOI: 10.1103/PhysRevA.107.033320

Citations: 4
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