By exploiting the nonlinear nature of the Jaynes Cumming interaction, one can get photon population trapping in cavity-QED arrays. However, the unavoidable dissipative effects in a realistic system would destroy the self-trapped state by continuous photon leakage, and the self-trapping remains only as a temporary effect. To circumvent this issue, we aim to achieve an indefinitely long-lived self-trapped steady state rather than a localization with limited lifetime. We show that a careful engineering of drive, dissipation, and Hamiltonian results in achieving indefinitely sustained self-trapping. We show that the intricate interplay between drive, dissipation, and light-matter interaction results in requiring an optimal window of drive strengths in order to achieve such nontrivial steady states. We treat the two-cavity and four-cavity cases by using exact open quantum many-body calculations. Additionally, in the semiclassical limit we scale up the system to a long one-dimensional chain and demonstrate localized and delocalized steady-states in a driven-dissipative cavity-QED lattice. Although our analysis is performed by keeping cavity-QED systems in mind, our work is applicable to other driven-dissipative systems where nonlinearity plays a pivotal role.
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics