Electron conductance and many-body marker of a cavity-embedded topological 1D chain
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909397892988928 |
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| author | Nguyen, Danh-Phuong Arwas, Geva Ciuti, Cristiano |
| author_facet | Nguyen, Danh-Phuong Arwas, Geva Ciuti, Cristiano |
| contents | We investigate many-body topological and transport properties of a one-dimensional Su-Schrieffer-Heeger (SSH) topological chain coupled to the quantum field of a cavity mode. The quantum conductance is determined via Green's function formalism in terms of the light-matter eigenstates calculated via exact diagonalization for a finite number of electrons. We show that the topology of the cavity-embedded many-electron system is described by a generalized electron-photon Zak marker. We reveal how the quantization of transport is modified by the cavity vacuum fields for a finite-size chain and how it is impacted by electronic disorder. Moreover, we show that electron-photon entanglement produces dramatic differences with respect to the predictions of mean-field theory, which strongly underestimates cavity-modified transport. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_19244 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Electron conductance and many-body marker of a cavity-embedded topological 1D chain Nguyen, Danh-Phuong Arwas, Geva Ciuti, Cristiano Mesoscale and Nanoscale Physics Other Condensed Matter Quantum Physics We investigate many-body topological and transport properties of a one-dimensional Su-Schrieffer-Heeger (SSH) topological chain coupled to the quantum field of a cavity mode. The quantum conductance is determined via Green's function formalism in terms of the light-matter eigenstates calculated via exact diagonalization for a finite number of electrons. We show that the topology of the cavity-embedded many-electron system is described by a generalized electron-photon Zak marker. We reveal how the quantization of transport is modified by the cavity vacuum fields for a finite-size chain and how it is impacted by electronic disorder. Moreover, we show that electron-photon entanglement produces dramatic differences with respect to the predictions of mean-field theory, which strongly underestimates cavity-modified transport. |
| title | Electron conductance and many-body marker of a cavity-embedded topological 1D chain |
| topic | Mesoscale and Nanoscale Physics Other Condensed Matter Quantum Physics |
| url | https://arxiv.org/abs/2402.19244 |