Fermionization and collective excitations of 1D polariton lattices

• URL: http://arxiv.org/abs/2405.02251v1
• Date: Fri, 3 May 2024 17:09:12 GMT
• Title: Fermionization and collective excitations of 1D polariton lattices
• Authors: Johannes Knörzer, Rafał Ołdziejewski, Puneet A. Murthy, Ivan Amelio,
• Abstract summary: We show that the hallmarks of correlation and fermionization in a one-dimensional exciton-polaritons gas can be observed with state-of-the-art technology. Our work encourages future experiments aimed at observing, for the first time, strongly correlated exciton-polariton physics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 of a chain of excitonic quantum dots coupled to a photonic waveguide, with a low filling of polaritons. We analytically identify the Tonks-Girardeau, Tavis-Cummings and mean-field limits and relate them to different regimes of the excitonic anharmonicity and photonic bandwidth. Using matrix-product states, we numerically calculate the ground-state energies, correlation functions and dynamic structure factor of the system. In particular, the latter has a finite weight in the Lieb-Liniger hole branch, and the density-density correlator displays Friedel-like oscillations for realistic parameters, which reveal the onset of fermionization close to the Tonks-Girardeau regime. Our work encourages future experiments aimed at observing, for the first time and in spite of the moderate excitonic anharmonicity, strongly correlated exciton-polariton physics.

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