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arXiv · 2602.16329

Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups

Longfa Sun·Zhendong Xu·Hao Zhang
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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.

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Longfa Sun, Zhendong Xu, Hao Zhang. 2026-02-18. Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups. https://arxiv.org/abs/2602.16329

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