Dynamic control of coupling regimes in oscillator systems via tunable open channels

We explore a system comprising two oscillators that are coupled to an open channel at distinct locations. The coupling nature can be adjusted to be coherent, dissipative, or a combination of both, controlled by a tunable phase resulting from wave propagation between the oscillators. This setup allows us to observe characteristic energy level behaviors: Level repulsion occurs with coherent coupling, while level attraction is observed with dissipative coupling. In the regime of dissipative coupling, one of the eigenmodes becomes a dark mode, rendering it immune to external perturbations. By leveraging the tunable coupling through the open channel, we introduce a method for manipulating this dark mode, achieving both efficient excitation and an extended lifetime. Our results have broad applicability across various physical systems, including optical, acoustic, and magnetic configurations, underscoring the potential for innovative applications in mode storage and signal processing.