Weyl singularities in polaritonic multi-terminal Josephson junctions

Abstract

We study theoretically analog multi-terminal Josephson junctions formed by gapped superfluids created upon resonant pumping of cavity exciton-polaritons. We study the $p$-like bands of a 5-terminal junction in the 4D parameter space created by the superfluid phases acting as quasi-momenta. We find 4/6 Weyl points in 3D subspaces with preserved/broken time-reversal symmetry. We link the real space topology (vortices) to the parameter space one (Weyl points). We derive an effective Hamiltonian encoding the creation, motion, and annihilation of Weyl nodes in 4D. Our work paves the way to the study of exotic topological phases in a platform allowing direct measurement of eigenstates and band topology.

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Cited by in corpus (8)

• Non-hermitian topology in multiterminal superconducting junctions
• Thouless pumping in a driven-dissipative Kerr resonator array
• Ground state topology of a four-terminal superconducting double quantum dot
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Full tomography of topological Andreev bands in graphene Josephson junctions
• Design of a room-temperature topological exciton-polariton laser in a ZnO/TiO${}_2$-photonic crystal slab
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Multiterminal Josephson junctions with tunable topological properties