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

Year: 2024

Authors: Nardin A., De Bernardis D., Umucalilar R.O., Mazza L., Rizzi M., Carusotto I.

Autors Affiliation: Univ Paris Saclay, CNRS, LPTMS, F-91405 Orsay, France; Univ Trento, CNR, Pitaevskii BEC Ctr, INO, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy; CNR, European Lab Nonlinear Spect LENS, Natl Inst Opt, INO, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy; Mimar Sinan Fine Arts Univ, Dept Phys, TR-34380 Istanbul, Turkiye; Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany; Forschungszentrum Julich, Inst Quantum Control, Peter Grunberg Inst PGI 8, D-52425 Julich, Germany.

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 nu = 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.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 133 (18)      Pages from: 183401-1  to: 183401-8

More Information: Acknowledgments – We are thankful to E. Macaluso for continuous collaboration in the first ground-breaking steps of this work, and N. Goldman, J. Kwan, M. Greiner, and his group for insightful discussions. A. N. acknowledges financial support from Fondazione Angelo dalla Riccia , LoCoMacro 805252 from the European Research Council and LPTMS for warm hospitality. D. D. B. acknowledges funding from the European Union – NextGeneration EU, Integrated infrastructure initiative in Photonic and Quantum Sciences I-PHOQS [IR0000016, ID D2B8D520, CUP B53C22001750006] . M. R. acknowl-edges support from the Deutsche Forschungsgemein-schaft (DFG) via project Grant No. 277101999 within the CRC ne twork TR 183 (B01) and under Germany ’ s Excellence Strategy – Cluster of Excellence Matter and Light for Quantum Computing (ML4Q) EXC 2004/1 – 390534769. I. C. acknowledges financial support from the European Union H2020-FETFLAG-2018-2020 project PhoQuS (No. 820392) , from the Provincia Autonoma di Trento, from the Q@TN initiative, and from the PNRR-MUR Project No. PE0000023-NQSTI project, co-funded by the European Union – NextGeneration EU. This work is part of HQI initiative and is supported by France 2030 under the French National Research Agency Award No. ANR-22-PNCQ-0002.
KeyWords: Luttinger Liquid; Excitations; States; Realization; Statistics
DOI: 10.1103/PhysRevLett.133.183401