Kibble-Zurek mechanism and errors of gapped quantum phases

Amit Jamadagni, Javad Kazemi, Arpan Bhattacharyya

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number045140
JournalPhysical Review B
Volume110
Issue number4
DOIs
StatePublished - Jul 15 2024
Externally publishedYes

Funding

A.J. thanks A. L\u00E4uchli for fruitful discussions. A.B. thanks the FISPAC Research Group, Department of Physics, University of Murcia, especially, Jose J. Fern\u00E1ndez-Melgarejo, for hospitality during the course of this work. A.B. is supported by the Mathematical Research Impact Centric Support (Grant No. MTR/2021/000490) by the Department of Science and Technology Science and Engineering Research Board (India) and the Relevant Research Project (Grant No. 202011BRE03RP06633-BRNS) by the Board of Research in Nuclear Sciences(BRNS), Department of Atomic Energy (DAE), India. A.B. also acknowledges the associateship program of Indian Academy of Science, Bengaluru. We have also uploaded sample code snippets at the following repository that enables the reproduction of the results .

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