Non-linear edge dynamics of an integer quantum Hall fluid

Anno: 2020

Autori: Nardin A., Carusotto I.

Affiliazione autori: Univ Trento, INO CNR BEC Ctr, I-38123 Trento, Italy; Univ Trento, Dipartimento Fis, I-38123 Trento, Italy.

Abstract: We report a theoretical study of the linear and nonlinear dynamics of edge excitations of an integer quantum Hall state of non-interacting fermions. New features beyond the chiral Luttinger liquid picture are anticipated to arise from the interplay of the curvature of the Landau level dispersion and of the Pauli exclusion principle. For long-wavelength perturbations, the microscopic numerical results are captured by a chiral nonlinear hydrodynamic equation including a density-dependent velocity term. In the wave-breaking regime, shock waves are found to be regularized into a complex ripple pattern by higher-order dispersive effects. Our results are of specific relevance for experiments with synthetic quantum matter, in particular ultracold atomic gases.

Giornale/Rivista: EUROPHYSICS LETTERS

Volume: 132 (1)      Da Pagina: 10002-1  A: 10002-7

Maggiori informazioni: We acknowledge financial support from the European Union via the FET-Open grant MIR-BOSE (No. 737017) and the H2020-FETFLAG-2018-2020 project PhoQuS (No. 820392), from the Provincia Autonoma di Trento, partly through the Q@TN initiative, and from Google via the quantum NISQ award. IC is indebted to Nicolas Pavloff for stimulating discussions that triggered this research.
Parole chiavi: LIQUIDS; 05; 30; Fk; 05; 45; -a; 73; 43; -f
DOI: 10.1209/0295-5075/132/10002

Citazioni: 2
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-12-08
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