连续对称自旋系统热平衡时的量子涡度
Quantum vorticity at thermal equilibrium for spins systems with continuous symmetry
摘要：
通过在一组完整的观测量（"一点函数"）上检验\exp [-β H]，提出了晶格上量子XY自旋系统Gibbs态在反温度β下的涡度定义.我们特别表明，它是独立的选择一个特定的基础。在经典环境的边界条件下，对泡利矩阵进行压缩，对有限格点进行了数值模拟，得到了一些常见的涡旋图样。
英文摘要：
We propose a definition of vorticity at inverse temperature βfor Gibbs states in quantum XY spin systems on the lattice by testing \exp[-βH] 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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