Single-particle losses in a Josephson junction can produce a reversed (pi) supercurrent, and spin-selective losses induce a dissipation-generated spin supercurrent.
Nitta, Josephson junction of non-abelian supercon- ductors and non-abelian josephson vortices, Nuclear Physics B899, 78 (2015)
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Anomalous supercurrents in the presence of particle losses
Single-particle losses in a Josephson junction can produce a reversed (pi) supercurrent, and spin-selective losses induce a dissipation-generated spin supercurrent.