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arXiv · 1504.01288

Quantum vorticity at thermal equilibrium for spins systems with continuous symmetry

Dimitri Minenkov·Michel Rouleux
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Abstract

We propose a definition of vorticity at inverse temperature \beta for Gibbs states in quantum XY spin systems on the lattice by testing \exp[-\beta H] on a complete set of observables ("one-point functions"). We show in particular that it is independent of the choice of a particular basis. Imposing a compression of Pauli matrices at the boudary, which stands for the classical environment, we make some numerical simulations on finite lattices, and exhibit usual vortex patterns.

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Dimitri Minenkov, Michel Rouleux. 2015-04-06. Quantum vorticity at thermal equilibrium for spins systems with continuous symmetry. https://arxiv.org/abs/1504.01288

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