  We demonstrate tunable dissipative interactions between optically trapped
exciton-polariton condensates. We apply annular shaped nonresonant optical
beams to both generate and confine each condensate to their respective traps,
pinning their natural frequencies. Coupling between condensates is realized
through the finite escape rate of coherent polaritons from the traps leading to
robust phase locking with neighboring condensates. The coupling is controlled
by adjusting the polariton propagation distance between neighbors. This permits
us to map out regimes of both strong and weak dissipative coupling, with the
former characterized by clear in-phase and anti-phase synchronization of the
condensates. With robust single-energy occupation governed by dissipative
coupling of optically-trapped polariton condensates, we present a system which
offers a potential optical platform for the optimization of randomly connected
$XY$ Hamiltonians.
