Comment on "Non-monotonicity in the Quantum-Classical Transition: Chaos Induced by Quantum Effects"
Justin Finn, Kurt Jacobs, Bala Sundaram
TL;DR
This paper critically examines claims of chaos emergence in a quantum Duffing oscillator during the quantum-classical transition, by calculating Lyapunov exponents to verify the presence of chaos.
Contribution
It provides a rigorous calculation of Lyapunov exponents for the quantum Duffing oscillator, challenging previous claims of chaos in the transition region.
Findings
Lyapunov exponents do not support chaos in the studied regime
Previous evidence for chaos in the quantum-classical transition is questioned
The system remains non-chaotic according to Lyapunov analysis
Abstract
In a recent Letter [PRL 101, 074101 (2008)], Kapulkin and Pattanayak presented evidence that a quantum Duffing oscillator, sufficiently damped so that it is not classically chaotic, becomes chaotic in the transition region between quantum and classical motion. If true, this would be a striking result. However, Kapulkin and Pattanayak did not calculate the Lyapunov exponent for the system, usually regarded as the litmus-test of chaos. Here we perform this calculation, which throws considerable doubt upon their conclusions.
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