Engineering indefinitely long-lived localization in cavity-QED arrays

TL;DR

This paper demonstrates how to engineer drive, dissipation, and Hamiltonian parameters to achieve indefinitely sustained photon localization in cavity-QED arrays, overcoming dissipative effects that typically destroy self-trapped states.

Contribution

It introduces a method to maintain long-lived localization in driven-dissipative cavity-QED systems through precise parameter engineering, supported by exact quantum calculations and semiclassical analysis.

Findings

Achieving indefinite photon self-trapping in cavity-QED arrays.

Identifying optimal drive strength window for steady states.

Observing localization-delocalization transition in a 1-D chain.

Abstract

By exploiting the nonlinear nature of the Jaynes Cumming's 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. To circumvent this issue, 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 non-trivial steady states. We treat the two-cavity and four-cavity cases using exact open quantum many-body calculations. Additionally, in the semiclassical limit we scale up the system to a long 1-D chain and demonstrate localization de-localization transition in a driven-dissipative system. Although, our analysis is performed keeping cavity-QED systems in mind, our work is applicable to other driven-dissipative systems where nonlinearity plays a defining role.