Quantum chaos without false positives
Dmitrii A. Trunin
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.
Topics & Concepts
Semiclassical physicsLyapunov exponentIntegrable systemQuantum chaosSaddle pointQuantumStatistical physicsPhysicsLimit (mathematics)CHAOS (operating system)SaddleReplicaQuantum mechanicsMathematical physicsMathematicsQuantum dynamicsMathematical analysisComputer scienceNonlinear systemGeometryArtMathematical optimizationVisual artsComputer securityQuantum chaos and dynamical systemsQuantum many-body systemsQuantum, superfluid, helium dynamics