# Chaos and Scrambling in Quantum Small Worlds

@article{Hartmann2020ChaosAS, title={Chaos and Scrambling in Quantum Small Worlds}, author={Jean-Gabriel Hartmann and Jeff Murugan and Jonathan P. Shock}, journal={arXiv: High Energy Physics - Theory}, year={2020} }

Quantum small-worlds are quantum many-body systems that interpolate between completely ordered (nearest-neighbour, next-to-nearest-neighbour etc.) and completely random interactions. As such, they furnish a novel new laboratory to study quantum systems transitioning between regular and chaotic behaviour. In this article, we introduce the idea of a quantum small-world network by starting from a well understood integrable system, a spin-1 Heisenberg chain. We then inject a small number of long…

## 8 Citations

easter egg Quantummany-body dynamics on the star graph

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We study 2-local Hamiltonian quantum systems, consisting of qubits interacting on the star graph of N vertices. We numerically demonstrate that these models are generically nonintegrable at infinite…

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We study 2-local Hamiltonian quantum systems, consisting of qubits interacting on the star graph of N vertices. We numerically demonstrate that these models are generically non-integrable at infinite…

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Acting on operators with a bare dimension ∆ ∼ N 2 the dilatation operator of U( N ) N $$ \mathcal{N} $$ = 4 super Yang-Mills theory defines a 2-local Hamiltonian acting on a graph. Degrees of freedom…