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Albeit occurring at zero temperature, quantum critical phenomena are known tohave a huge impact on the finite-temperature phase diagram of stronglycorrelated systems -- an aspect which gives experimental access to theirobservation. In particular the existence of a gapless, zero-temperature quantumcritical point is known theoretically to induce the existence of an extendedregion in parameter space -- the so-called quantum critical fan --characterized by power-law temperature dependences of all observables, withexponents related to those of the quantum critical point. Identifyingexperimentally the quantum critical fan and its crossovers to the other regions(renormalized classical, quantum disordered) remains nonetheless a bigchallenge. Focusing on paradigmatic models of quantum phase transitions, herewe show that quantum correlations - captured by the quantum variance of theorder parameter (I. Fr\'erot and T. Roscilde, Phys. Rev. B {\bf 94}, 075121(2016)) - exhibit the temperature scaling associated with the quantum criticalregime over an extended parameter region, much broader than that revealed byordinary correlations, and with well-defined crossovers to the other regimes.The link existing between the quantum variance and the dynamicalorder-parameter susceptibility paves the way to an experimental reconstructionof the quantum critical fan using \emph{e.g.} spectroscopy on stronglycorrelated quantum matter.

Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations