Title: A driven-dissipative spin chain model based on exciton-polariton condensates,
Abstract: An infinite chain of driven-dissipative condensate spins with uniform
nearest-neighbor coherent coupling is solved analytically and investigated
numerically. Above a critical occupation threshold the condensates undergo
spontaneous spin bifurcation (becoming magnetized) forming a binary chain of
spin-up or spin-down states. Minimization of the bifurcation threshold
determines the magnetic order as a function of the coupling strength. This
allows control of multiple magnetic orders via adiabatic (slow ramping of)
pumping. In addition to ferromagnetic and anti-ferromagnetic ordered states we
show the formation of a paired-spin ordered state $\left|\dots \uparrow
\uparrow \downarrow \downarrow \dots \right. \rangle$ as a consequence of the
phase degree of freedom between condensates.