Quantum vorticity at positive temperature for spins systems with continuous symmetry

24th International Conference on Integrable Systems and Quantum symmetries

Minenkov, D.^1 ; Rouleux, M.^2

Institute for Problems in Mechanics, RAS, Prosp. Vernadskogo 101-1, Moscow

119526, Russia^1

Aix Marseille University, University Toulon, CNRS, CPT, Marseille, France^2

关键词: Continuous symmetry;    Finite lattices;    Heisenberg spin systems;    Inverse temperatures;    One-point functions;    Pauli matrices;    Spin-s systems;    Vortex pattern;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/804/1/012031/pdf
DOI  :  10.1088/1742-6596/804/1/012031

来源: IOP

【 摘 要 】

We propose a definition of vorticity at inverse temperature β for Gibbs states in quantum XY or Heisenberg spin systems on the lattice by testing exp[-βH] on a complete set of observables ("one-point functions"). Imposing a compression of Pauli matrices at the boundary, which stands for the classical environment, we perform some numerical simulations on finite lattices in case of XY model, which exhibit usual vortex patterns.