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Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Quantum chaos without false positives
arXiv
Authors: Dmitrii A. Trunin
Year
2023
Paper ID
56076
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
Abstract
Out-of-time-order correlators are widely used as an indicator of quantum chaos, but give false-positive quantum Lyapunov exponents for integrable systems with isolated saddle points. We propose an alternative indicator that fixes this drawback and retains all advantages of out-of-time-order correlators. In particular, the new indicator correctly predicts the average Lyapunov exponent and the Ehrenfest time in the semiclassical limit, can be calculated analytically using the replica trick, and satisfies the bound on chaos.
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- Out-of-time-order correlators are widely used as an indicator of quantum chaos, but give false-positive quantum Lyapunov exponents for integrable systems with isolated saddle...
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