Floquet engineered inhomogeneous quantum chaos in critical systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918145951793152 |
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| author | Lapierre, Bastien Numasawa, Tokiro Neupert, Titus Ryu, Shinsei |
| author_facet | Lapierre, Bastien Numasawa, Tokiro Neupert, Titus Ryu, Shinsei |
| contents | We study universal chaotic dynamics of a large class of periodically driven critical systems described by spatially inhomogeneous conformal field theories. By employing an effective curved spacetime approach, we show that the onset of quantum chaotic correlations, captured by the Lyapunov exponent of out-of-time-order correlators (OTOCs), is set by the Hawking temperature of emergent Floquet horizons. Furthermore, scrambling of quantum information is shown to be strongly inhomogeneous, leading to transitions from chaotic to non-chaotic regimes by tuning driving parameters. We finally use our framework to propose a concrete protocol to simulate and measure OTOCs in quantum simulators, by designing an efficient stroboscopic backward time evolution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_01642 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Floquet engineered inhomogeneous quantum chaos in critical systems Lapierre, Bastien Numasawa, Tokiro Neupert, Titus Ryu, Shinsei Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics We study universal chaotic dynamics of a large class of periodically driven critical systems described by spatially inhomogeneous conformal field theories. By employing an effective curved spacetime approach, we show that the onset of quantum chaotic correlations, captured by the Lyapunov exponent of out-of-time-order correlators (OTOCs), is set by the Hawking temperature of emergent Floquet horizons. Furthermore, scrambling of quantum information is shown to be strongly inhomogeneous, leading to transitions from chaotic to non-chaotic regimes by tuning driving parameters. We finally use our framework to propose a concrete protocol to simulate and measure OTOCs in quantum simulators, by designing an efficient stroboscopic backward time evolution. |
| title | Floquet engineered inhomogeneous quantum chaos in critical systems |
| topic | Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2405.01642 |