Measuring Hall voltage and Hall resistance in an atom-based quantum simulator
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arXiv
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| Format: | Preprint |
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2024
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| author | Zhou, T. -W. Beller, T. Masini, G. Parravicini, J. Cappellini, G. Repellin, C. Giamarchi, T. Catani, J. Filippone, M. Fallani, L. |
| author_facet | Zhou, T. -W. Beller, T. Masini, G. Parravicini, J. Cappellini, G. Repellin, C. Giamarchi, T. Catani, J. Filippone, M. Fallani, L. |
| contents | In the Hall effect, a voltage drop develops perpendicularly to the current flow in the presence of a magnetic field, leading to a transverse Hall resistance. Recent developments with quantum simulators have unveiled strongly correlated and universal manifestations of the Hall effect. However, a direct measurement of the Hall voltage and of the Hall resistance in a non-electronic system of strongly interacting fermions was not achieved to date. Here, we demonstrate a technique for measuring the Hall voltage in a neutral-atom-based quantum simulator. From that we provide the first direct measurement of the Hall resistance in a cold-atom analogue of a solid-state Hall bar and study its dependence on the carrier density, along with theoretical analyses. Our work closes a major gap between analogue quantum simulations and measurements performed in solid-state systems, providing a key tool for the exploration of the Hall effect in highly tunable and strongly correlated systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09744 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measuring Hall voltage and Hall resistance in an atom-based quantum simulator Zhou, T. -W. Beller, T. Masini, G. Parravicini, J. Cappellini, G. Repellin, C. Giamarchi, T. Catani, J. Filippone, M. Fallani, L. Quantum Gases Mesoscale and Nanoscale Physics Strongly Correlated Electrons Quantum Physics In the Hall effect, a voltage drop develops perpendicularly to the current flow in the presence of a magnetic field, leading to a transverse Hall resistance. Recent developments with quantum simulators have unveiled strongly correlated and universal manifestations of the Hall effect. However, a direct measurement of the Hall voltage and of the Hall resistance in a non-electronic system of strongly interacting fermions was not achieved to date. Here, we demonstrate a technique for measuring the Hall voltage in a neutral-atom-based quantum simulator. From that we provide the first direct measurement of the Hall resistance in a cold-atom analogue of a solid-state Hall bar and study its dependence on the carrier density, along with theoretical analyses. Our work closes a major gap between analogue quantum simulations and measurements performed in solid-state systems, providing a key tool for the exploration of the Hall effect in highly tunable and strongly correlated systems. |
| title | Measuring Hall voltage and Hall resistance in an atom-based quantum simulator |
| topic | Quantum Gases Mesoscale and Nanoscale Physics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2411.09744 |