Local operators in quantum chaotic systems cascade toward non-local fractal structures whose dimension is tied by unitarity to the decay rate of local correlations, demonstrated exactly in dual-unitary circuits and numerically in others.
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Using Ruelle-Pollicott resonances, the work shows prethermalization stabilizes energy more than other observables in kicked Ising models, with finite shadowing time and no Trotterization transition in non-integrable quantum systems.
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Quantum many-body operator cascade as a route to chaos
Local operators in quantum chaotic systems cascade toward non-local fractal structures whose dimension is tied by unitarity to the decay rate of local correlations, demonstrated exactly in dual-unitary circuits and numerically in others.
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Prethermalization, shadowing breakdown, and the absence of Trotterization transition in quantum circuits
Using Ruelle-Pollicott resonances, the work shows prethermalization stabilizes energy more than other observables in kicked Ising models, with finite shadowing time and no Trotterization transition in non-integrable quantum systems.