Nonlocal Josephson effect in Andreev molecules

Abstract

We propose the "Andreev molecule", an artificial quantum system composed of two closely spaced Josephson junctions. The coupling between Josephson junctions in an Andreev molecule occurs through the overlap and hybridization of the junction's "atomic" orbitals, Andreev Bound States. A striking consequence is that the supercurrent flowing through one junction depends on the superconducting phase difference across the other junction. Using the Bogolubiov-de-Gennes formalism, we derive the energy spectrum and non-local current-phase relation for arbitrary separation. We demonstrate the possibility of creating a $\phi$-junction and propose experiments to verify our predictions. Andreev molecules may have potential applications in quantum information, metrology, sensing, and molecular simulation.

arXiv comment19 pages, 4 figures, accepted version

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Cited by in corpus (56)

• Fine energy splitting of overlapping Andreev bound states in multi-terminal superconducting nanostructures
• Phase-engineering the Andreev band structure of a three-terminal Josephson junction
• Josephson diode effect derived from short-range coherent coupling
• Flux-Tunable Josephson Diode Effect in a Hybrid Four-Terminal Josephson Junction
• Observation of nonlocal Josephson effect on double InAs nanowires
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• Demonstration of nonlocal Josephson effect in Andreev molecules
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• Control of Andreev bound states using superconducting phase texture
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• Engineering of anomalous Josephson effect in coherently coupled Josephson junctions
• Multiplet supercurrent in Josephson tunneling circuits
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• Proposal for detecting the $\pi -$shifted Cooper quartet supercurrent
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• Intermediate states in Andreev bound state fusion
• On-off switch and sign change for non-local Josephson diode in spin-valve Andreev molecules
• Moving Majorana bound states between distinct helical edges across a quantum point contact
• The carbon nanotube gatemon qubit
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• Directional conductance of Andreev crystals in hybrid Josephson junction arrays
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• Andreev molecules at distance
• Towards a $\cos (2\phi )$ Josephson element using aluminum junctions with well-transmitted channels
• Superconducting on-chip spectrometer for mesoscopic quantum systems