Kibble-Zurek mechanism and errors of gapped quantum phases
| Autor: | Jamadagni, Amit, Kazemi, Javad, Bhattacharyya, Arpan |
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| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 110, 045140 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.110.045140 |
| Popis: | 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. Comment: 20 pages, 18 figures. Expanded to include new analysis. Comments are welcome |
| Databáze: | arXiv |
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