Out-of-time-order Correlators in Volcano potentials

arXiv:2609.35990 · quant-ph, hep-th · Submitted 2026-09-28 · Read on arXiv

quant-ph, hep-th

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Consistency — 4× in this paper · explained in 3 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Chaotic Dynamics — 1× in this paper · explained in 2 episodes
• Dynamical regimes — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
• Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
• Quantum Lyapunov Spectrum
• Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
• Does scrambling equal chaos?
• Gauging classical and quantum integrability through out-of-time ordered correlators
• Positive quantum Lyapunov exponents in experimental systems with a regular classical limit
• Out-of-time-order correlators in quantum mechanics
• Towards the Web of Quantum Chaos Diagnostics
• Out-of-time-order correlator in coupled harmonic oscillators
• Out-Of-Time-Ordered-Correlators for the Pure Inverted Quartic Oscillator: Classical Chaos meets Quantum Stability
• Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
• Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
• Chaos and Complexity in Quantum Mechanics
• Chaos and Complexity for Inverted Harmonic Oscillators
• Extracting classical Lyapunov exponent from one-dimensional quantum mechanics
• Out-of-Time-Order-Correlator for van der Waals potential
• A Simple Volcano Potential with an Analytic, Zero-Energy, Ground State
• Exact bound states in volcano potentials
• Universal Aspects of Gravity Localized on Thick Branes

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