Voltage-Current curves for small Josephson junction arrays

Abstract

We compute the current voltage characteristic of a chain of identical Josephson circuits characterized by a large ratio of Josephson to charging energy that are envisioned as the implementation of topologically protected qubits. We show that in the limit of small coupling to the environment it exhibits a non-monotonous behavior with a maximum voltage followed by a parametrically large region where $V\propto 1/I$. We argue that its experimental measurement provides a direct probe of the amplitude of the quantum transitions in constituting Josephson circuits and thus allows their full characterization.

12 pages, 4 figures

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Cited by in corpus (6)

• Superconducting Nanocircuits for Topologically Protected Qubits
• Microwave Spectroscopy of a Cooper-Pair Transistor Coupled to a Lumped-Element Resonator
• Quantum phase slips in a resonant Josephson junction
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• Insulating regime of an underdamped current-biased Josephson junction supporting ${\mathbb{Z}}_3$ and ${\mathbb{Z}}_4$ parafermions
• Topologically protected qubits as minimal Josephson junction arrays with non trivial boundary conditions: a proposal