Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups
Functional Analysis
2026-02-19 v1
Abstract
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.
Cite
@article{arxiv.2602.16329,
title = {Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups},
author = {Longfa Sun and Zhendong Xu and Hao Zhang},
journal= {arXiv preprint arXiv:2602.16329},
year = {2026}
}
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