Dipole-dipole interactions mediated by a photonic flat band

• URL: http://arxiv.org/abs/2405.20382v2
• Date: Thu, 6 Jun 2024 10:02:13 GMT
• Title: Dipole-dipole interactions mediated by a photonic flat band
• Authors: Enrico Di Benedetto, Alejandro Gonzalez-Tudela, Francesco Ciccarello,
• Abstract summary: We study the photon-dipole interactions between emitters dispersively coupled to the photonic analogue of a flat band (FB) We show that the strength of such photon-mediated interactions decays exponentially with distance with a characteristic localization length. 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.
• Score: 44.99833362998488
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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