Subwavelength arrays of quantum emitters: nonlinearities enter the weak-drive regime, and lead to correlated subradiant states

• URL: http://arxiv.org/abs/2409.01386v3
• Date: Tue, 05 Aug 2025 07:24:06 GMT
• Title: Subwavelength arrays of quantum emitters: nonlinearities enter the weak-drive regime, and lead to correlated subradiant states
• Authors: Orazio Scarlatella, Nigel R. Cooper,
• Abstract summary: Quantum emitter arrays have emerged as important platforms in which strong light-matter interactions can be achieved and precisely controlled.<n>In subwavelength regimes, they are characterised by a manifold of subradiant eigenstates, which can host novel quantum many-body states.<n>The weak-drive regime has been widely regarded as a linear regime, well described by classical equations.<n>We show that higher-order, resonant and momentum-conserving processes exciting subradiant states lead to a steady state of interacting subradiant excitation pairs.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum emitter arrays have emerged as important platforms in which strong light-matter interactions can be achieved and precisely controlled. In subwavelength regimes, they are characterised by a manifold of subradiant eigenstates, which can host novel quantum many-body states and are promising for several applications. Nevertheless, their excitation under a weak far-field driving is prevented by their subradiant nature. Consequently, the weak-drive regime has been widely regarded as a linear regime, well described by classical equations. In this work, we find that, suprisingly, the weak-drive regime is instead strongly non-linear for regular geometries, due to the important contribution of higher-order, resonant and momentum-conserving processes exciting subradiant states. Using a Dynamical Mean-Field Theory (DMFT) we show that these processes lead to a steady state of interacting subradiant excitation pairs, with quantum correlations of two-mode squeezing and long-range character, realising a novel strongly-correlated driven-dissipative state. These findings have potential impact for non-linear optics and quantum metrology.

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