Kibble-Zurek mechanism and errors of gapped quantum phases
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910537425616896 |
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| author | Jamadagni, Amit Kazemi, Javad Bhattacharyya, Arpan |
| author_facet | Jamadagni, Amit Kazemi, Javad Bhattacharyya, Arpan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_13625 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kibble-Zurek mechanism and errors of gapped quantum phases Jamadagni, Amit Kazemi, Javad Bhattacharyya, Arpan Quantum Physics Strongly Correlated Electrons 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. |
| title | Kibble-Zurek mechanism and errors of gapped quantum phases |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2401.13625 |