Work

Kibble-Zurek mechanism and errors of gapped quantum phases

Year: 2024

Type: article

Abstract: Kibble-Zurek mechanism relates the domain of nonequilibrium dynamics with the critical properties at equilibrium. It establishes a power law connection between nonequilibrium 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. Published by the American Physical Society 2024

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.110.045140

Authors: Amit Jamadagni, Javad Kazemi, Arpan Bhattacharyya

Institutions: Paul Scherrer Institute, Leibniz Supercomputing Centre, Indian Institute of Technology Gandhinagar

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid