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    Effect of quasiparticles on the parameters of a gap-engineered transmon

    Daniil S. Antonenko1,*, Pavel D. Kurilovich1,2, Francisco J. Matute-Cañadas1,3, and Leonid I. Glazman1,4

    • 1Department of Physics, Yale University, New Haven, Connecticut 06520, USA
    • 2Department of Applied Physics, Yale University, New Haven, Connecticut 06520, USA
    • 3Departamento de Física Teórica de la Materia Condensada, Condensed Matter Physics Center (IFIMAC) and Instituto Nicolás Cabrera, Universidad Autónoma de Madrid, Madrid 28049, Spain
    • 4Yale Quantum Institute, Yale University, New Haven, Connecticut 06520, USA

    • *Contact author: daniil.antonenko@yale.edu

    Phys. Rev. B 113, 054504 – Published 2 February, 2026

    DOI: https://doi.org/10.1103/t448-147x

    Abstract

    We evaluate the quasiparticle contribution to the frequency shift and relaxation rates of a transmon with the Josephson junctions connecting superconductors that have unequal energy gaps. The gap difference substantially affects the transmon characteristics. We investigate their dependence on the density and effective temperature of the quasiparticles and on the nominal (unperturbed by the quasiparticles) transmon frequency. At temperatures low compared to the qubit frequency, the gap difference can induce an anomalous positive frequency shift, resulting in a nonmonotonic temperature dependence of the transmon frequency. The qubit relaxation rate exhibits a resonance when the qubit frequency matches the gap difference; the shape of the resonance is strongly temperature dependent. We propose to use these effects to access the details of the quasiparticle energy distribution.

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