Measuring Hall voltage and Hall resistance in an atom-based quantum simulator

Year: 2025

Authors: Zhou TW., Beller T., Masini G., Parravicini J., Cappellini G., Repellin C., Giamarchi T., Catani J., Filippone M., Fallani L.

Autors Affiliation: Univ Florence, Dept Phys & Astron, I-50019 Sesto Fiorentino, Italy; European Lab Nonlinear Spect LENS, I-50019 Sesto Fiorentino, Italy; Consiglio Nazl Ric CNR, Ist Nazl Ott INO, I-50019 Sesto Fiorentino, Italy; Univ Grenoble Alpes, CNRS, LPMMC, F-38000 Grenoble, France; Univ Geneva, Dept Quantum Matter Phys, CH-1211 Geneva, Switzerland; Univ Grenoble Alpes, CEA, IRIG, MEM L Sim, F-38000 Grenoble, France.

Abstract: In the Hall effect, a voltage drop develops perpendicularly to the current flow in the presence of a magnetic field, leading to a transverse Hall resistance. Recent developments with quantum simulators have unveiled strongly correlated and universal manifestations of the Hall effect. However, a direct measurement of the Hall voltage and of the Hall resistance in a non-electronic system of strongly interacting fermions was not achieved to date. Here, we demonstrate a technique for measuring the Hall voltage in a neutral-atom-based quantum simulator. From that we provide the first direct measurement of the Hall resistance in a cold-atom analogue of a solid-state Hall bar and study its dependence on the carrier density, along with theoretical analyses. Our work closes a major gap between analogue quantum simulations and measurements performed in solid-state systems, providing a key tool for the exploration of the Hall effect in highly tunable and strongly correlated systems.

Journal/Review: NATURE COMMUNICATIONS

Volume: 16 (1)      Pages from: 10247-1  to: 10247-7

More Information: We gratefully acknowledge J. Mellado Munoz for discussions and critical reading of the manuscript. For the experimental activity we acknowledge financial support by PNRR MUR project PE0000023-NQSTI financed by the European Union – Next Generation EU and by the Horizon Europe program HORIZON-CL4-2022-QUANTUM-02-SGA via the project 101 113690 (PASQuanS2.1). This work is supported in part by the Swiss National Science Foundation under grant 200020_219400. M.F. acknowledges support from EPiQ ANR-22-PETQ-0007 part of Plan France 2030. C.R. acknowledges support from ANR through Grant No. ANR-22-CE30-0022-01.
KeyWords: Edge States; Constant; Realization; Matter; Phase
DOI: 10.1038/s41467-025-65083-6