The Lieb excitations and topological flat mode of spectral function of Tonks-Girardeau gas in Kronig-Penney potential
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913663579848704 |
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| author | He, Wen-Bin Žlabys, Giedrius Hiyane, Hoshu Nair, Sarika Sasidharan Busch, Thomas |
| author_facet | He, Wen-Bin Žlabys, Giedrius Hiyane, Hoshu Nair, Sarika Sasidharan Busch, Thomas |
| contents | Lieb excitations are fundamental to the understanding of the low energy behaviour of many-body quantum gases. Here we study the spectral function of a Tonks-Girardeau gas in a finite sized Kronig-Penney potential and show that the Lieb-I and Lieb-II excitations can become gapped as a function of the barrier height. Moreover, we reveal the existence of a topological flat mode near the Fermi energy and at zero momentum and show that this is robust to perturbations in the system. Through a scaling analysis, we determine the divergent behaviour of the spectral function. Our results provide a significant reference for the observation and understanding of the gapped Lieb excitations and the topological flat mode of quantum gases in experimentally realistic subwavelength optical lattice potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_13302 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Lieb excitations and topological flat mode of spectral function of Tonks-Girardeau gas in Kronig-Penney potential He, Wen-Bin Žlabys, Giedrius Hiyane, Hoshu Nair, Sarika Sasidharan Busch, Thomas Quantum Gases Lieb excitations are fundamental to the understanding of the low energy behaviour of many-body quantum gases. Here we study the spectral function of a Tonks-Girardeau gas in a finite sized Kronig-Penney potential and show that the Lieb-I and Lieb-II excitations can become gapped as a function of the barrier height. Moreover, we reveal the existence of a topological flat mode near the Fermi energy and at zero momentum and show that this is robust to perturbations in the system. Through a scaling analysis, we determine the divergent behaviour of the spectral function. Our results provide a significant reference for the observation and understanding of the gapped Lieb excitations and the topological flat mode of quantum gases in experimentally realistic subwavelength optical lattice potentials. |
| title | The Lieb excitations and topological flat mode of spectral function of Tonks-Girardeau gas in Kronig-Penney potential |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2410.13302 |