Absence of ballistic motion and presence of almost-ballistic motion for unitary operators with pure point spectrum
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914365760864256 |
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| author | Cedzich, Christopher Fillman, Jake Velázquez, Luis |
| author_facet | Cedzich, Christopher Fillman, Jake Velázquez, Luis |
| contents | We adapt two results of Simon and collaborators to the setting of discrete-time unitary dynamics. We show that pure point spectrum precludes ballistic motion, and exhibit a family of examples showing that this is sharp within the class of extended Cantero--Moral-Velázquez (CMV) matrices: that is, there exist extended CMV matrices exhibiting pure point spectrum together with quantum dynamics as close to ballistic motion as one desires. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_03114 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Absence of ballistic motion and presence of almost-ballistic motion for unitary operators with pure point spectrum Cedzich, Christopher Fillman, Jake Velázquez, Luis Spectral Theory Mathematical Physics We adapt two results of Simon and collaborators to the setting of discrete-time unitary dynamics. We show that pure point spectrum precludes ballistic motion, and exhibit a family of examples showing that this is sharp within the class of extended Cantero--Moral-Velázquez (CMV) matrices: that is, there exist extended CMV matrices exhibiting pure point spectrum together with quantum dynamics as close to ballistic motion as one desires. |
| title | Absence of ballistic motion and presence of almost-ballistic motion for unitary operators with pure point spectrum |
| topic | Spectral Theory Mathematical Physics |
| url | https://arxiv.org/abs/2603.03114 |