Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917970444288000 |
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| author | Chen, Xi-Yu Jiang, Lijia Bai, Wen-Kai Yang, Tao Zheng, Jun-Hui |
| author_facet | Chen, Xi-Yu Jiang, Lijia Bai, Wen-Kai Yang, Tao Zheng, Jun-Hui |
| contents | Magnetic monopoles are crucial in explaining the quantization of electric charges and quantum Hall effects, while artificially creating a minimal magnetic monopole in experiments remains a challenge. Here, we come up with a flexible way to simulate a half-integer-type monopole in Bose gases and investigate the induced vortex dynamics on a sphere. We list the possible experiment parameter settings for different isotopes and discuss their experimental feasibility. With the assumption of a rigid monopole-vortex structure, we analytically predict the vortex trajectory in an external magnetic field. We then confirm the result by numerically solving the Gross-Pitaevskii equation, which employs two gauges simultaneously (the Wu-Yang approach) to prevent singularity in the one-gauge method when a monopole is present. The study offers significant insight into the characteristics of monopoles and vortices, facilitating avenues for experimental validation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_19690 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates Chen, Xi-Yu Jiang, Lijia Bai, Wen-Kai Yang, Tao Zheng, Jun-Hui Quantum Gases Pattern Formation and Solitons Quantum Physics Magnetic monopoles are crucial in explaining the quantization of electric charges and quantum Hall effects, while artificially creating a minimal magnetic monopole in experiments remains a challenge. Here, we come up with a flexible way to simulate a half-integer-type monopole in Bose gases and investigate the induced vortex dynamics on a sphere. We list the possible experiment parameter settings for different isotopes and discuss their experimental feasibility. With the assumption of a rigid monopole-vortex structure, we analytically predict the vortex trajectory in an external magnetic field. We then confirm the result by numerically solving the Gross-Pitaevskii equation, which employs two gauges simultaneously (the Wu-Yang approach) to prevent singularity in the one-gauge method when a monopole is present. The study offers significant insight into the characteristics of monopoles and vortices, facilitating avenues for experimental validation. |
| title | Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates |
| topic | Quantum Gases Pattern Formation and Solitons Quantum Physics |
| url | https://arxiv.org/abs/2407.19690 |