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Controlling the emission and interaction properties of quantum emitters (QEs)embedded within an optical cavity is a key technique in engineeringlight-matter interactions at the nanoscale, as well as in the development ofquantum information processing. State-of-the-art optical cavities are based onhigh Q photonics crystals and dielectric resonators. However, wealthierresponses might be attainable with cavities carved in more exotic materials.Here, we theoretically investigate the emission and interaction properties ofQEs embedded in open epsilon-near-zero (ENZ) cavities. Using analytical methodsand numerical simulations, it is demonstrated that open ENZ cavities presentthe unique property of supporting nonradiating modes independently of thegeometry of the external boundary of the cavity (shape, size, topology...).Moreover, the possibility of switching between radiating and nonradiating modesenables a dynamic control of both the emission by, and the interaction between,QEs. These phenomena provide unprecedented degrees of freedom in controllingand trapping fields within optical cavities, as well as in the design of cavityopto- and acousto-mechanical systems.

Nonradiating and radiating modes excited by quantum emitters in open epsilon-near-zero cavities