Thouless pumping in a driven-dissipative Kerr resonator array
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917969306583040 |
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| author | Ravets, S. Pernet, N. Mostaan, N. Goldman, N. Bloch, J. |
| author_facet | Ravets, S. Pernet, N. Mostaan, N. Goldman, N. Bloch, J. |
| contents | Thouless pumping is an emblematic manifestation of topology in physics, referring to the ability to induce a quantized transport of charge across a system by simply varying one of its parameters periodically in time. The original concept of Thouless pumping involves a non-interacting system, and has been implemented in several platforms. One current challenge in the field is to extend this concept to interacting systems. In this article, we propose a Thouless pump that solely relies on nonlinear physics, within a chain of coupled Kerr resonators. Leveraging the driven-dissipative nature of the system, we modulate in space and time the onsite Kerr interaction energies, and generate 1+1-dimensional topological bands in the Bogoliubov spectrum of excitations. These bands present the same topology as the ones obtained within the Harper-Hofstadter framework, and the Wannier states associated to each band experience a net displacement and show quantized transport according to the bands Chern numbers. Remarkably, we find driving configurations leading to band inversion, revealing an interaction-induced topological transition. Our numerical simulations are performed using realistic parameters inspired from exciton polaritons, which form a platform of choice for investigating driven topological phases of matter. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_02627 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Thouless pumping in a driven-dissipative Kerr resonator array Ravets, S. Pernet, N. Mostaan, N. Goldman, N. Bloch, J. Mesoscale and Nanoscale Physics Other Condensed Matter Quantum Gases Optics Thouless pumping is an emblematic manifestation of topology in physics, referring to the ability to induce a quantized transport of charge across a system by simply varying one of its parameters periodically in time. The original concept of Thouless pumping involves a non-interacting system, and has been implemented in several platforms. One current challenge in the field is to extend this concept to interacting systems. In this article, we propose a Thouless pump that solely relies on nonlinear physics, within a chain of coupled Kerr resonators. Leveraging the driven-dissipative nature of the system, we modulate in space and time the onsite Kerr interaction energies, and generate 1+1-dimensional topological bands in the Bogoliubov spectrum of excitations. These bands present the same topology as the ones obtained within the Harper-Hofstadter framework, and the Wannier states associated to each band experience a net displacement and show quantized transport according to the bands Chern numbers. Remarkably, we find driving configurations leading to band inversion, revealing an interaction-induced topological transition. Our numerical simulations are performed using realistic parameters inspired from exciton polaritons, which form a platform of choice for investigating driven topological phases of matter. |
| title | Thouless pumping in a driven-dissipative Kerr resonator array |
| topic | Mesoscale and Nanoscale Physics Other Condensed Matter Quantum Gases Optics |
| url | https://arxiv.org/abs/2407.02627 |