Characterizing correlations with full counting statistics: classical Ising and quantum XY spin chains
arXiv:1203.6325 · doi:10.1103/PhysRevE.87.022114
Abstract
We propose to describe correlations in classical and quantum systems in terms of full counting statistics of a suitably chosen discrete observable. The method is illustrated with two exactly solvable examples: the classical one-dimensional Ising model and the quantum spin-1/2 XY chain. For the one-dimensional Ising model, our method results in a phase diagram with two phases distinguishable by the long-distance behavior of the Jordan-Wigner strings. For the quantum XY chain, the method reproduces the previously known phase diagram.
6 pages, section on Lee-Yang zeros added, published version
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