11 papers
Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions
Motoo Suzuki, Ling-Xiao Xu, Hao Y. Zhang
We generalize the framework of spurion analysis to a class of selection rules arising from non-invertible fusion algebras in perturbation theory. As a first step toward systematic…
Hypercontractivity for a family of quantum Ornstein-Uhlenbeck semigroups
Longfa Sun, Zhendong Xu, Hao Zhang
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 G…
Average first-passage times for character sums
Quanyu Tang, Hao Zhang
Let and, for an odd prime , set Define the first-passage time $$ f_\varepsilon(p):=\min\{\ell\ge 1:\ S…
Theory of Remaining Exceptional Points from Nongeneric Splitting in Non-Hermitian Systems
Teng Yin, Hao Zhang
In non-Hermitian physics, high-order exceptional points(HOEPs) with eigenvalues and eigenvectors coalesce are known for their enhanced sensitivity to perturbations. Typically, they…
Towards Quantum Simulations of Sphaleron Dynamics at Colliders
Min Huang, Ying-Ying Li, Yandong Liu +1
Sphaleron dynamics in the Standard Model at high-energy particle collisions remains experimentally unobserved, with theoretical predictions hindered by its nonperturbative real-tim…
Quantum Properties of Non-Dirichlet Boundary Conditions in Gravity
Patrick Draper, Manthos Karydas, Hao Zhang
The Euclidean path integral for gravity is enriched by the addition of boundaries, which provide useful probes of thermodynamic properties. Common boundary conditions include Diric…