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arXiv · 2203.02539

Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets

Alberto Nardin·Iacopo Carusotto
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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 non-universal 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.

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Alberto Nardin, Iacopo Carusotto. 2022-03-03. Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets. https://doi.org/10.1103/physreva.107.033320

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