Onset of Quantum Chaos in Random Field Theories
We study the quantum Lyapunov exponent \(\lambda_L\) in theories with spacetime-independent disorder. We first derive self-consistency equations for the two- and four-point functions for products of \(N\) models coupled by disorder at large \(N\), generalizing the equations appearing in SYK-like mod...
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| Veröffentlicht in: | arXiv.org 2022-07 |
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| creator | Berkooz, Micha Adar, Sharon Silberstein, Navot Urbach, Erez Y |
| description | We study the quantum Lyapunov exponent \(\lambda_L\) in theories with spacetime-independent disorder. We first derive self-consistency equations for the two- and four-point functions for products of \(N\) models coupled by disorder at large \(N\), generalizing the equations appearing in SYK-like models. We then study families of theories in which the disorder coupling is an exactly marginal deformation, allowing us to follow \(\lambda_L\) from weak to strong coupling. We find interesting behaviors, including a discontinuous transition into chaos, mimicking classical KAM theory. |
| doi_str_mv | 10.48550/arxiv.2207.11980 |
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| subjects | Chaos theory Coupling Fields (mathematics) Liapunov exponents Mathematical models Physics - High Energy Physics - Theory |
| title | Onset of Quantum Chaos in Random Field Theories |
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