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

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 $\varphi$ 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 $2\pi$ increment of $\varphi$, 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 Phys. Rev. B 102, 140501(R) (2020) -- but now for a non-topological Andreev qubit.

7 pages, 7 figures, Appendix added

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Cited by in corpus (11)

• Nonadiabatic Landau-Zener-Stückelberg-Majorana transitions, dynamics, and interference
• Microwave response of an Andreev bound state
• Josephson effect in a junction coupled to an electron reservoir
• Flux-tunable Kitaev chain in a quantum dot array
• Quantum phase slips in a resonant Josephson junction
• Microscopic theory of the current-voltage characteristics of Josephson tunnel junctions
• Non-Hermitian superconducting diode effect
• Topological Josephson Junctions in the Integer Quantum Hall Regime
• Transport theory for topological Josephson junctions with a Majorana qubit
• Quantum dynamics of semiconductor quantum dot Josephson junctions
• Josephson radiation patterns in underdamped topological Josephson junctions