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Voltage staircase in a current-biased quantum-dot Josephson junction

D. O. Oriekhov, Y. Cheipesh, C. W. J. Beenakker

DOI 10.1103/PhysRevB.103.094518 · Physical Review B

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Abstract

We calculate the current-voltage (I−V) characteristic of a Josephson junction containing a resonant level in the weakly coupled regime (resonance width small compared to the superconducting gap). The phase ϕ across the junction becomes time dependent in response to a DC current bias. Rabi oscillations in the Andreev levels produce a staircase I−V characteristic. The number of voltage steps counts the number of Rabi oscillations per 2π increment of ϕ, providing a way to probe the coherence of the qubit in the absence of any external AC driving. The phenomenology is the same as the Majorana-induced DC Shapiro steps in topological Josephson junctions of Choi et al. [Phys. Rev. B 102, 140501(R) (2020)]—but now for a nontopological Andreev qubit.

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