Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains
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arXiv
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914960333864960 |
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| author | Bera, Mohit Lal de Almeida, Jessica O. Dziurawiec, Marlena Płodzień, Marcin Maśka, Maciej M. Lewenstein, Maciej Grass, Tobias Bhattacharya, Utso |
| author_facet | Bera, Mohit Lal de Almeida, Jessica O. Dziurawiec, Marlena Płodzień, Marcin Maśka, Maciej M. Lewenstein, Maciej Grass, Tobias Bhattacharya, Utso |
| contents | Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been suggested as a tool for detecting the topological phase. Specifically, it has been shown that when the SSH chain is coupled to an external laser field of a frequency much smaller than the band gap, the emitted light at harmonic frequencies strongly differs between the trivial and the topological phase. However, it remains unclear whether various non-trivial topological phases -- differing in the number of edge states -- can also be distinguished by the high harmonic generation (HHG). In this paper, we investigate this problem by studying an extended version of the SSH chain with extended-range hoppings, resulting in a topological model with different topological phases. We explicitly show that HHG spectra are a sensitive and suitable tool for distinguishing topological phases when there is more than one topological phase. We also propose a quantitative scheme based on tuning the filling of the system to precisely locate the number of edge modes in each topological phase of this chain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_02025 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains Bera, Mohit Lal de Almeida, Jessica O. Dziurawiec, Marlena Płodzień, Marcin Maśka, Maciej M. Lewenstein, Maciej Grass, Tobias Bhattacharya, Utso Mesoscale and Nanoscale Physics Optics Quantum Physics Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes when the bulk of the system has a non-zero topological winding invariant. Recently, high-harmonic spectroscopy has been suggested as a tool for detecting the topological phase. Specifically, it has been shown that when the SSH chain is coupled to an external laser field of a frequency much smaller than the band gap, the emitted light at harmonic frequencies strongly differs between the trivial and the topological phase. However, it remains unclear whether various non-trivial topological phases -- differing in the number of edge states -- can also be distinguished by the high harmonic generation (HHG). In this paper, we investigate this problem by studying an extended version of the SSH chain with extended-range hoppings, resulting in a topological model with different topological phases. We explicitly show that HHG spectra are a sensitive and suitable tool for distinguishing topological phases when there is more than one topological phase. We also propose a quantitative scheme based on tuning the filling of the system to precisely locate the number of edge modes in each topological phase of this chain. |
| title | Topological phase detection through high-harmonic spectroscopy in extended Su-Schrieffer-Heeger chains |
| topic | Mesoscale and Nanoscale Physics Optics Quantum Physics |
| url | https://arxiv.org/abs/2305.02025 |