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We propose to describe correlations in classical and quantum systems in termsof full counting statistics of a suitably chosen discrete observable. Themethod is illustrated with two exactly solvable examples: the classicalone-dimensional Ising model and the quantum spin-1/2 XY chain. For theone-dimensional Ising model, our method results in a phase diagram with twophases distinguishable by the long-distance behavior of the Jordan-Wignerstrings. For the quantum XY chain, the method reproduces the previously knownphase diagram.

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