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arXiv · 1203.6325

Characterizing correlations with full counting statistics: classical Ising and quantum XY spin chains

Dmitri A. Ivanov·Alexander G. Abanov
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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.

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Dmitri A. Ivanov, Alexander G. Abanov. 2013-04-15. Characterizing correlations with full counting statistics: classical Ising and quantum XY spin chains. https://doi.org/10.1103/physreve.87.022114

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