Quantum dynamical bounds for long-range operators with skew-shift potentials
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912099733602304 |
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| author | Liu, Wencai Powell, Matthew Wang, Xueyin |
| author_facet | Liu, Wencai Powell, Matthew Wang, Xueyin |
| contents | We employ Weyl's method and Vinogradov's method to analyze skew-shift dynamics on semi-algebraic sets. Consequently, we improve the quantum dynamical upper bounds of Jitomirskaya-Powell, Liu, and Shamis-Sodin for long-range operators with skew-shift potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum dynamical bounds for long-range operators with skew-shift potentials Liu, Wencai Powell, Matthew Wang, Xueyin Mathematical Physics Number Theory Spectral Theory We employ Weyl's method and Vinogradov's method to analyze skew-shift dynamics on semi-algebraic sets. Consequently, we improve the quantum dynamical upper bounds of Jitomirskaya-Powell, Liu, and Shamis-Sodin for long-range operators with skew-shift potentials. |
| title | Quantum dynamical bounds for long-range operators with skew-shift potentials |
| topic | Mathematical Physics Number Theory Spectral Theory |
| url | https://arxiv.org/abs/2411.00176 |