Engineering Collective Dissipation with Multi-Photon Processes

Many-body decay is an emergent phenomenon arising from the collective relaxation of multiple emitters and governed by interference among their emitted fields. Such collective dissipation provides a versatile platform for a range of applications, including the preparation of entangled dark states, building photonic sources and components, and the study of dissipative dynamics. Achieving these goals requires control over the structure and strength of the dissipative interactions. We propose to engineer programmable, long-range dissipative couplings using multi-photon processes. For multi-level atoms prepared in ground-state manifolds and driven far off-resonance, virtual excitation pathways induce Raman transitions between ground states. Each transition involves the absorption of a dressing-laser photon followed by spontaneous emission, thereby defining an effective decay channel that intertwines coherent dressing with dissipative relaxation. Since the emission frequency is set by the dressing fields, interactions arise selectively among atoms addressed by the same drive tone. Collective decay is therefore mediated by shared emission channels rather than by spatial proximity, enabling programmable long-range interaction networks. Frequency-domain control of the driving lasers thus supports the independent design of network connectivity and topology, providing a route to engineered nonlocal dissipation for controlling many-body dynamics and enabling open-system quantum simulation.