Dissipation-induced antiferromagneticlike frustration in coupled photonic resonators

We propose a photonic quantum simulator for anti-ferromagnetic spin systems based on reservoir engineering. consider scheme where quadratically driven dissipative Kerr cavities are indirectly coupled via lossy ancillary cavities. show that the can produce an effective and Hamiltonian anti-ferromagnetic-like coupling between By solving master equation triangular cavity configuration, we demonstrate non-equilibrium steady state of system bears full analogy with ground antiferromagnetic Ising model, exhibiting key signatures frustration. when photon hopping amplitude is zero, engineered non-local dissipation alone capable inducing interaction This simple be generalised to arbitrary lattice geometries, providing fully controllable recipe simulating antiferromagnetism frustration controlled optical platform.