Dynamical correlations and domain wall relocalization in transverse field Ising chains
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866917046180118528 |
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| author | Suchsland, Philippe Douçot, Benoît Khemani, Vedika Moessner, Roderich |
| author_facet | Suchsland, Philippe Douçot, Benoît Khemani, Vedika Moessner, Roderich |
| contents | We study conventional and out-of-time-ordered correlators (OTOCs) for a wide variety of transverse field Ising chains: classical and quantum, clean and disordered, and integrable and generic. The setting we consider is that of a quantum quench. We find a remarkably rich phenomenology, ranging from stable periodic signals to ones decaying with varying rates. This variety is due to a complex interplay of constraints on thermalization imposed by integrability and symmetry. A process we term dynamical domain wall relocalization provides a long-lived signal in the clean, integrable case, which can be degraded by the addition of disorder even without interactions. Our results shed light on a proposal to use an OTOC as a dynamical diagnostic of a quantum phase more powerful than a standard observable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_09502 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Dynamical correlations and domain wall relocalization in transverse field Ising chains Suchsland, Philippe Douçot, Benoît Khemani, Vedika Moessner, Roderich Strongly Correlated Electrons Quantum Gases We study conventional and out-of-time-ordered correlators (OTOCs) for a wide variety of transverse field Ising chains: classical and quantum, clean and disordered, and integrable and generic. The setting we consider is that of a quantum quench. We find a remarkably rich phenomenology, ranging from stable periodic signals to ones decaying with varying rates. This variety is due to a complex interplay of constraints on thermalization imposed by integrability and symmetry. A process we term dynamical domain wall relocalization provides a long-lived signal in the clean, integrable case, which can be degraded by the addition of disorder even without interactions. Our results shed light on a proposal to use an OTOC as a dynamical diagnostic of a quantum phase more powerful than a standard observable. |
| title | Dynamical correlations and domain wall relocalization in transverse field Ising chains |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2207.09502 |