Observation of universal Hall response in strongly interacting Fermions

• DOI: 10.1126/science.add1969
• Publication Date: 2023-07-27T18:02:48Z
• Authors: T.-W. Zhou; G. Cappellini; D. Tusi; L. Franchi; J. Parravicini; C. Repellin; S. Greschner; M. Inguscio; T. Giamarchi; M. Filippone; J. Catani; L. Fallani
• Keywords: [PHYS.COND.GAS]Physics [physics]/Condensed Matter [cond-mat]/Quantum Gases [cond-mat.quant-gas]; quenching; FOS: Physical sciences; magnetic field; 530; 01 natural sciences; low; info:eu-repo/classification/ddc/500.2; topological; hall effect; Condensed Matter - Strongly Correlated Electrons; tunneling; [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]; 0103 physical sciences; [PHYS.COND]Physics [physics]/Condensed Matter [cond-mat]; ultracold atoms; quantum simulation; [PHYS]Physics [physics]; quantum technologies; Quantum Physics; condensed matter; Strongly Correlated Electrons (cond-mat.str-el); magnetic field, low; Hall effect; 500; cold atoms, quantum simulations; tracks; charged particle; Quantum Gases (cond-mat.quant-gas); Simulazione quantistica, tecnologie quantistiche, atomi ultrafreddi, effetto Hall, fisica quantistica, quantum simulation, quantum technologies, ultracold atoms, Hall effect, quantum physics; [PHYS.COND.CM-SCE]Physics [physics]/Condensed Matter [cond-mat]/Strongly Correlated Electrons [cond-mat.str-el]; Condensed Matter - Quantum Gases; Quantum Physics (quant-ph)

The Hall effect, which originates from the motion of charged particles in magnetic fields, has deep consequences for the description of materials, extending far beyond condensed matter. Understanding such an effect in interacting systems represents a fundamental challenge, even for small magnetic fields. In this work, we used an atomic quantum simulator in which we tracked the motion of ultracold fermions in two-leg ribbons threaded by artificial magnetic fields. Through controllable quench dynamics, we measured the Hall response for a range of synthetic tunneling and atomic interaction strengths. We unveil a universal interaction-independent behavior above an interaction threshold, in agreement with theoretical analyses. The ability to reach hard-to-compute regimes demonstrates the power of quantum simulation to describe strongly correlated topological states of matter.