Nonlinear Hall response in the driving dynamics of ultracold atoms in optical lattices
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866909293744226304 |
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| author | Chen, Xiao-Long Zheng, Wei |
| author_facet | Chen, Xiao-Long Zheng, Wei |
| contents | We propose that a nonlinear Hall response can be observed in Bloch oscillations of ultracold atoms in optical lattices under the condition of preserved time-reversal symmetry. In the short-time limit of Bloch oscillations driven by a direct current (dc) field, the nonlinear Hall current dominates, being a second-order response to the external field strength. The associated Berry curvature dipole, which is a second-order nonlinear coefficient of the driving field, can be obtained from the oscillation of atoms. In an alternating current (ac) driving field, the nonlinear Hall response has a double frequency of the driving force in the case of time-reversal symmetry. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2106_10848 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Nonlinear Hall response in the driving dynamics of ultracold atoms in optical lattices Chen, Xiao-Long Zheng, Wei Quantum Gases Mesoscale and Nanoscale Physics We propose that a nonlinear Hall response can be observed in Bloch oscillations of ultracold atoms in optical lattices under the condition of preserved time-reversal symmetry. In the short-time limit of Bloch oscillations driven by a direct current (dc) field, the nonlinear Hall current dominates, being a second-order response to the external field strength. The associated Berry curvature dipole, which is a second-order nonlinear coefficient of the driving field, can be obtained from the oscillation of atoms. In an alternating current (ac) driving field, the nonlinear Hall response has a double frequency of the driving force in the case of time-reversal symmetry. |
| title | Nonlinear Hall response in the driving dynamics of ultracold atoms in optical lattices |
| topic | Quantum Gases Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2106.10848 |