Tunneling of fluxons via a Josephson resonant level

• URL: http://arxiv.org/abs/2310.03102v3
• Date: Mon, 12 Aug 2024 19:52:22 GMT
• Title: Tunneling of fluxons via a Josephson resonant level
• Authors: T. Vakhtel, P. D. Kurilovich, M. Pita-Vidal, A. Bargerbos, V. Fatemi, B. van Heck,
• Abstract summary: A superconducting loop can be coherently coupled by quantum phase slips occurring at a weak link such as a Josephson junction. We analyze this scenario by computing the coupling between fluxons as the level is brought into resonance with the superconducting condensate. These findings can inform experiments on bifluxon qubits as well as the design of novel types of protected qubits.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Fluxons in a superconducting loop can be coherently coupled by quantum phase slips occurring at a weak link such as a Josephson junction. If Cooper pair tunneling at the junction occurs through a resonant level, $2\pi$ quantum phase slips are suppressed, and fluxons are predominantly coupled by $4\pi$ quantum phase slips. We analyze this scenario by computing the coupling between fluxons as the level is brought into resonance with the superconducting condensate. The results indicate that the $4\pi$-dominated regime can be observed directly in the transition spectrum for circuit parameters typical of a fluxonium qubit. We also show that, if the inductive energy of the loop is much smaller than the plasma frequency of the junction, the low-energy Hamiltonian of the circuit is dual to that of a topological superconducting island. These findings can inform experiments on bifluxon qubits as well as the design of novel types of protected qubits.

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