Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866913915626061824 |
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| author | Zhao, Huaisong Yuan, Feng Ma, Tianxing Zou, Peng |
| author_facet | Zhao, Huaisong Yuan, Feng Ma, Tianxing Zou, Peng |
| contents | The measurement of the pairing gap plays an essential role in studying the physical properties of superconductors or superfluids. We develop a strategy for measure the pairing gap through the dynamical excitations. With the random phase approximation (RPA), the dynamical excitations of a two-dimensional attractive Fermi-Hubbard model are studied by calculating the dynamical structure factor. Two distinct collective modes are investigated: a Goldstone phonon mode at the transferred momentum ${\bf q}=\left[0,0\right]$ and a roton mode at ${\bf q}=\left[π,π\right]$. The roton mode demonstrates a sharp molecular peak in the low-energy regime. Remarkably, the area under the roton molecular peak scales with the square of the pairing gap, which persists even in three-dimensional and spin-orbit coupled (SOC) optical lattices. This result provides a potential strategy to measure the pairing gap of lattice systems experimentally by measuring the dynamical structure factor at ${\bf q}=\left[π,π\right]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_09685 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model Zhao, Huaisong Yuan, Feng Ma, Tianxing Zou, Peng Quantum Gases Quantum Physics The measurement of the pairing gap plays an essential role in studying the physical properties of superconductors or superfluids. We develop a strategy for measure the pairing gap through the dynamical excitations. With the random phase approximation (RPA), the dynamical excitations of a two-dimensional attractive Fermi-Hubbard model are studied by calculating the dynamical structure factor. Two distinct collective modes are investigated: a Goldstone phonon mode at the transferred momentum ${\bf q}=\left[0,0\right]$ and a roton mode at ${\bf q}=\left[π,π\right]$. The roton mode demonstrates a sharp molecular peak in the low-energy regime. Remarkably, the area under the roton molecular peak scales with the square of the pairing gap, which persists even in three-dimensional and spin-orbit coupled (SOC) optical lattices. This result provides a potential strategy to measure the pairing gap of lattice systems experimentally by measuring the dynamical structure factor at ${\bf q}=\left[π,π\right]$. |
| title | Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model |
| topic | Quantum Gases Quantum Physics |
| url | https://arxiv.org/abs/2305.09685 |