Fermionization and collective excitations of 1D polariton lattices
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| Format: | Preprint |
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2024
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| _version_ | 1866909188703125504 |
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| author | Knörzer, Johannes Ołdziejewski, Rafał Murthy, Puneet A. Amelio, Ivan |
| author_facet | Knörzer, Johannes Ołdziejewski, Rafał Murthy, Puneet A. Amelio, Ivan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_02251 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fermionization and collective excitations of 1D polariton lattices Knörzer, Johannes Ołdziejewski, Rafał Murthy, Puneet A. Amelio, Ivan Quantum Physics Mesoscale and Nanoscale Physics 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. |
| title | Fermionization and collective excitations of 1D polariton lattices |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2405.02251 |