34 citations · 49 across the 4 of their papers we have counts for
4 papers
Variants of a multiplier theorem of Kislyakov
Andreas Defant, Mieczysław Mastyło, Antonio Pérez Hernández
We prove stronger variants of a multiplier theorem of Kislyakov. The key ingredients are based on ideas of Kislaykov and the Kahane-Salem-Zygmund inequality. As a by-product we sho…
Thermalization in Kitaev's quantum double models via Tensor Network techniques
Angelo Lucia, David Pérez-García, Antonio Pérez-Hernández
We show that the Davies generator associated to any 2D Kitaev's quantum double model has a non-vanishing spectral gap in the thermodynamic limit. This validates rigorously the exte…
Exponential decay of mutual information for Gibbs states of local Hamiltonians
Andreas Bluhm, Ángela Capel, Antonio Pérez-Hernández
The thermal equilibrium properties of physical systems can be described using Gibbs states. It is therefore of great interest to know when such states allow for an easy description…
Locality estimes for complex time evolution in 1D
David Pérez-García, Antonio Pérez-Hernández
It is a generalized belief that there are no thermal phase transitions in short range 1D quantum systems. However, the only known case for which this is rigorously proven is for th…