2016/09/30 by Dimitriy Minenkov, D Minenkov, Michel Rouleux +1
Computer Science · Mathematics · Physics and Astronomy · #Classical XY model #Lattice (music) #Observable #Pauli exclusion principle #Quantum #Quantum Information and Cryptography #Quantum many-body systems #Spins #Theoretical and Computational Physics #Vortex #Vorticity #math-ph #math.MP
paper · pdf · doi:10.1088/1742-6596/804/1/012031
ISQS24, Institute of Physics, Prague, 2016
arxiv created 2016/09/30 · openalex created_date 2016/10/14 · openalex publication_date 2017/01/01 · arxiv updated 2017/04/26 · openalex updated_date 2026/08/05
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.