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Kibble-Zurek mechanism in the Ising Field Theory

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arxiv 2007.08990 v2 pith:VE4YDC7T submitted 2020-07-17 cond-mat.stat-mech hep-th

Kibble-Zurek mechanism in the Ising Field Theory

classification cond-mat.stat-mech hep-th
keywords fieldkibble-zurekmechanismscalingtheorydifferentdynamicalising
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The Kibble-Zurek mechanism captures universality when a system is driven through a continuous phase transition. Here we study the dynamical aspect of quantum phase transitions in the Ising Field Theory where the critical point can be crossed in different directions in the two-dimensional coupling space leading to different scaling laws. Using the Truncated Conformal Space Approach, we investigate the microscopic details of the Kibble-Zurek mechanism in a genuinely interacting field theory. We demonstrate dynamical scaling in the non-adiabatic time window and provide analytic and numerical evidence for specific scaling properties of various quantities, including higher cumulants of the excess heat.

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