Quantum Spin probabilities at positive temperature are Hölder Gibbs probabilities

Jader E. Brasil, Artur O. Lopes, Jairo K. Mengue +1

We consider the KMS state associated to the Hamiltonian $H={\sigma }^x\otimes {\sigma }^x$ over the quantum spin lattice ${\mathbb{C}}^2\otimes {\mathbb{C}}^2\otimes {\mathbb{C}}^2\otimes ...$. For…