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    Exchange interaction in gate-defined quantum dots beyond the Hubbard model

    Alexander Willmes1,*, Patrick Bethke1,*, M. Mohamed El Kordy Shehata2, George Simion2, M. A. Wolfe1,†, Tim Botzem1,‡, Robert P. G. McNeil1,§, Julian Ritzmann3, Arne Ludwig3 et al.

    Andreas D. Wieck3, Dieter Schuh4, Dominique Bougeard4, and Hendrik Bluhm1,5,∥

    • *These authors contributed equally to this work.
    • †Present address: Department of Physics, University of Wisconsin-Madison, Madison, Wisconsin 53706, USA.
    • ‡Present address: School of Electrical Engineering and Telecommunication, UNSW Sydney, Sydney, New South Wales, Australia.
    • §Present address: Center for Quantum Devices, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark.
    • ∥Contact author: bluhm@physik.rwth-aachen.de

    Phys. Rev. B 114, 185414 – Published 10 September, 2026

    DOI: https://doi.org/10.1103/fb37-f7ky

    Abstract

    A quantitative description of the exchange interaction in quantum dots is relevant for modeling gate operations of spin qubits. By measuring the amplitude and frequency of exchange-driven qubit state oscillations, we measure the detuning dependence of the exchange coupling in a GaAs double quantum dot over three orders of magnitude. Both one- and three-dimensional full configuration-interaction simulations can replicate the observed behavior. Extending a Hubbard model by including excited states increases the range of detuning where it provides a good fit, thus elucidating the underlying physics.

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