Dipole-dipole interactions mediated by a photonic flat band

Abstract

Flat bands (FBs) are energy bands with zero group velocity, which in electronic systems were shown to favor strongly correlated phenomena. Indeed, a FB can be spanned with a basis of strictly localized states, the so called "compact localized states" (CLSs), which are yet generally non-orthogonal. Here, we study emergent dipole-dipole interactions between emitters dispersively coupled to the photonic analogue of a FB, a setup within reach in state-of the-art experimental platforms. We show that the strength of such photon-mediated interactions decays exponentially with distance with a characteristic localization length which, unlike typical behaviours with standard bands, saturates to a finite value as the emitter's energy approaches the FB. Remarkably, we find that the localization length grows with the overlap between CLSs according to an analytically-derived universal scaling law valid for a large class of FBs both in 1D and 2D. Using giant atoms (non-local atom-field coupling) allows to tailor interaction potentials having the same shape of a CLS or a superposition of a few of these.

18 pages, 6 figures

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Cited by in corpus (7)

• Cavity-Quantum Electrodynamics with Moiré Flatband Photonic Crystals
• Band engineering and study of disorder using topology in compact high kinetic inductance cavity arrays
• Input-Output Hierarchical Equations Of Motion
• Observation of non-Markovian Radiative Phenomena in Structured Photonic Lattices
• Resonant cavity-QED with chiral flat bands
• Many-body quantum optics in a Bose-Hubbard waveguide
• Flat band mediated photon-photon interactions in 2D waveguide QED networks