A duality relation extracts classical periodic orbits from the quantum spectrum of many-body systems like the kicked spin chain, with spectral statistics analyzed for coupled cat maps in the large semiclassical and particle-number limit.
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This review surveys the Loschmidt echo, OTOCs, and Krylov complexity as quantum proxies for classical Lyapunov exponents in chaotic systems.
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The role of classical periodic orbits in quantum many-body systems
A duality relation extracts classical periodic orbits from the quantum spectrum of many-body systems like the kicked spin chain, with spectral statistics analyzed for coupled cat maps in the large semiclassical and particle-number limit.
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Quantum analogues of exponential sensitivity: from Loschmidt echo to Krylov complexity
This review surveys the Loschmidt echo, OTOCs, and Krylov complexity as quantum proxies for classical Lyapunov exponents in chaotic systems.