Non-Abelian monopoles in the multiterminal Josephson effect

Abstract

In this work we present a detailed theoretical analysis for the spectral properties of Andreev bound states in the multiterminal Josephson junctions by employing a symmetry-constrained scattering matrix approach. We find that in the synthetic multidimensional space of superconducting phases, crossings of Andreev bands may support non-Abelian SU(2) monopoles with a topological charge characterized by the second class Chern number. We propose that these topological defects can be detected via a nonlinear response measurement of the current autocorrelations. In addition, multiterminal Josephson junction devices can be tested as a hardware platform for realizing holonomic quantum computation.

7 pages, 2 figures

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Cited by in corpus (13)

• Gate-tunable Superconducting Diode Effect in a Three-terminal Josephson Device
• Selective Control of Conductance Modes in Multi-terminal Josephson Junctions
• Andreev processes in mesoscopic multi-terminal graphene Josephson junctions
• Non-hermitian topology in multiterminal superconducting junctions
• Evidence for $\pi$-shifted Cooper quartets and few-mode transport in PbTe nanowire three-terminal Josephson junctions
• Ground state topology of a four-terminal superconducting double quantum dot
• Quartet Tomography in Multiterminal Josephson Junctions
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Probing the topological band structure of diffusive multiterminal Josephson junction devices with conductance measurements
• Exploring the energy spectrum of a four-terminal Josephson junction: Towards topological Andreev band structures
• Full tomography of topological Andreev bands in graphene Josephson junctions
• Self-heating effects and switching dynamics in graphene multiterminal Josephson junctions
• Drastic effect of weak interaction near special points in semiclassical multiterminal superconducting nanostructures