• Accepted Paper

Josephson and spin currents in coupled polariton condensates

A. Kudlis, I. Yu. Chestnov, A. N. Osipov, A. V. Yulin, and I. A. Shelykh

Phys. Rev. B - Accepted 24 September, 2026

DOI: https://doi.org/10.1103/4z43-lq5p

Abstract

We analyze particle and spin currents in conservative networks of localized, coherently coupled spinor exciton–polariton condensates arranged as plaquettes and regular polygonal rings. In closed geometries, spin-conserving and TE–TM-induced spin-flip tunnelling combine to generate circulating particle currents, hidden spin counterflows, and bond-dependent spin-current patterns. For the minimal geometries – an equilateral triangle, and a square plaquette – we derive analytical expressions for edge-resolved currents from stationary configurations obtained by energy minimization. We then show how particle, in-plane spin, and out-of-plane spin currents partition the parameter plane and provide direct signatures of the equilibrium phases. Finally, we apply the same current-resolved diagnostics to larger rings, where winding numbers and a branch-invariant common-phase coherence metric organize the resulting phase structure.

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