Dissipation-induced antiferromagnetic-like frustration in coupled photonic resonators

Abstract

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

arXiv comment8 pages, 6 figures

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• Stabilization of multi-mode Schrodinger cat states via normal-mode dissipation engineering
• Measurement-induced phase transitions in monitored infinite-range interacting systems
• Bath-engineering magnetic order in quantum spin chains: An analytic mapping approach
• Steady-state phases of dissipative spin-1/2 XYZ model with frustrated interaction
• Steady-state susceptibility in continuous phase transitions of dissipative systems
• Emergent deterministic entanglement dynamics in monitored infinite-range bosonic systems
• Reservoir-assisted energy migration through multiple spin-domains