Kibble-Zurek mechanism and errors of gapped quantum phases

• URL: http://arxiv.org/abs/2401.13625v2
• Date: Sun, 16 Jun 2024 13:14:43 GMT
• Title: Kibble-Zurek mechanism and errors of gapped quantum phases
• Authors: Amit Jamadagni, Javad Kazemi, Arpan Bhattacharyya,
• Abstract summary: Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. We present a novel numerical scheme to estimate the scaling exponent wherein the notion of defects is mapped to errors.
• Score: 0.25602836891933073
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Kibble-Zurek mechanism relates the domain of non-equilibrium dynamics with the critical properties at equilibrium. It establishes a power law connection between non-equilibrium defects quenched through a continuous phase transition and the quench rate via the scaling exponent. We present a novel numerical scheme to estimate the scaling exponent wherein the notion of defects is mapped to errors, previously introduced to quantify a variety of gapped quantum phases. To demonstrate the versatility of our method we conduct numerical experiments across a broad spectrum of spin-half models hosting local and symmetry protected topological order. Furthermore, an implementation of the quench dynamics featuring a topological phase transition on a digital quantum computer is proposed to quantify the associated criticality.

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