Transition of an Ensemble of Radiative Oscillators to the Dark State when Interacting with a Resonant Dissipative Subsystem

We theoretically study a fairly universal effect of screening the quantum states of an optical field from interaction with the system as a result of excitation of the modes initially being in the ground (vacuum) state. The cases of two-level and harmonic perturbing subsystems are considered. In the case of a sufficiently large number of “screening” modes, the formation of the corresponding dark state occurs with a relatively weak modification of the initial state. Therefore, an ensemble of resonators with the fields in the vacuum state is able to screen an arbitrary (including entangled) quantum state of a relatively small group of excited resonators from interaction with a dissipative subsystem.