Fermionization and collective excitations of 1D polariton lattices

• DOI: 10.48550/arxiv.2405.02251
• Publication Date: 2024-05-03
• Authors: Johannes Knörzer; Rafał Ołdziejewski; Puneet A. Murthy; Ivan Amelio
• Keywords: Quantum Physics; Condensed Matter - Mesoscale and Nanoscale Physics; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); FOS: Physical sciences; Quantum Physics (quant-ph)

We theoretically demonstrate that the hallmarks of correlation and fermionization in a one-dimensional exciton-polaritons gas can be observed with state-of-the-art technology. Our system consists chain excitonic quantum dots coupled to photonic waveguide, low filling polaritons. analytically identify Tonks-Girardeau, Tavis-Cummings mean-field limits relate them different regimes anharmonicity bandwidth. Using matrix-product states, we numerically calculate ground-state energies, functions dynamic structure factor system. In particular, latter has finite weight Lieb-Liniger hole branch, density-density correlator displays Friedel-like oscillations for realistic parameters, which reveal onset close Tonks-Girardeau regime. work encourages future experiments aimed at observing, first time spite moderate anharmonicity, strongly correlated exciton-polariton physics.