Related papers: Locating quantum critical points with Kibble-Zurek quenches

Locating quantum critical points with Kibble-Zurek quenches

URL: http://arxiv.org/abs/2007.04991v2
Date: Fri, 9 Oct 2020 16:33:19 GMT
Title: Locating quantum critical points with Kibble-Zurek quenches
Authors: Micha{\l} Bia{\l}o\'nczyk, Bogdan Damski
Abstract summary: Scheme for finding quantum critical points based on studies of a non-equilibrium susceptibility during finite-rate quenches. We assume that two such quenches are performed in opposite directions, and argue that they lead to formation of peaks of a non-equilibrium susceptibility on opposite sides of a critical point.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We describe a scheme for finding quantum critical points based on studies of a non-equilibrium susceptibility during finite-rate quenches taking the system from one phase to another. We assume that two such quenches are performed in opposite directions, and argue that they lead to formation of peaks of a non-equilibrium susceptibility on opposite sides of a critical point. Its position is then narrowed to the interval marked off by these values of the parameter driving the transition, at which the peaks are observed. Universal scaling with the quench time of precision of such an estimation is derived and verified in two exactly solvable models. Experimental relevance of these results is expected.

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