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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.16329 |
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| _version_ | 1866912911475081216 |
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| author | Sun, Longfa Xu, Zhendong Zhang, Hao |
| author_facet | Sun, Longfa Xu, Zhendong Zhang, Hao |
| contents | We show that a family of quantum Ornstein-Uhlenbeck semigroups is hypercontractive. We also obtain the optimal order of the optimal time up to a constant for those elements whose Gibbs state is zero. The main ingredient of our proof is Meixiner polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_16329 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups Sun, Longfa Xu, Zhendong Zhang, Hao Functional Analysis 46L53, 47D07, 81Q10, 33C45 We show that a family of quantum Ornstein-Uhlenbeck semigroups is hypercontractive. We also obtain the optimal order of the optimal time up to a constant for those elements whose Gibbs state is zero. The main ingredient of our proof is Meixiner polynomials. |
| title | Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups |
| topic | Functional Analysis 46L53, 47D07, 81Q10, 33C45 |
| url | https://arxiv.org/abs/2602.16329 |