Thermal critical dynamics from equilibrium quantum fluctuations

Abstract

We show that quantum fluctuations display a singularity at thermal critical points, involving the dynamical $z$ exponent. Quantum fluctuations, captured by the quantum variance (I. Frérot and T. Roscilde, Phys. Rev. B 94, 075121 (2016)), can be expressed via purely static quantities; this in turn allows us to extract the $z$ exponent related to the intrinsic Hamiltonian dynamics via equilibrium unbiased numerical calculations, without invoking any effective classical model for the critical dynamics. These findings illustrate that, unlike classical systems, in quantum systems static and dynamic properties remain inextricably linked even at finite-temperature transitions, provided that one focuses on static quantities that do not bear any classical analog, namely on quantum fluctuations.

5 pages (1 figure); supplementary material 6 pages (4 figures) (published version)

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Cited by in corpus (6)

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• Quantum and classical correlations in open quantum-spin lattices via truncated-cumulant trajectories
• Reconstructing the spatial structure of quantum correlations in materials
• Symmetry: a fundamental resource for quantum coherence and metrology
• First-order, continuous, and multicritical Bose-Einstein condensation in Bose mixtures
• Phase diagram of two-component mean-field Bose mixtures