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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.19597 |
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| _version_ | 1866914989135101952 |
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| author | Reslen, Jose |
| author_facet | Reslen, Jose |
| contents | A many-body Fourier transformation with logarithmic scaling in the number of necessary two-site gates is implemented. The protocol is applied to study the Bethe chain as a prototype of a translationally invariant system. The resulting band diagram features a flat pattern highly correlated to interaction mechanisms. The introduced protocol can be applied to a wide spectrum of scenarios and can offer new possibilities of simulation and analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19597 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Fast Mode-Fourier-Transform and the bands of the Bethe chain Reslen, Jose Quantum Physics A many-body Fourier transformation with logarithmic scaling in the number of necessary two-site gates is implemented. The protocol is applied to study the Bethe chain as a prototype of a translationally invariant system. The resulting band diagram features a flat pattern highly correlated to interaction mechanisms. The introduced protocol can be applied to a wide spectrum of scenarios and can offer new possibilities of simulation and analysis. |
| title | The Fast Mode-Fourier-Transform and the bands of the Bethe chain |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.19597 |