Does quantum chaos exist? (A quantum Lyapunov exponents approach.)
W. A. Majewski
TL;DR
This paper reviews the concept of quantum chaos using quantum Lyapunov exponents, showing that quantum systems can exhibit irregular observable dynamics while maintaining predictable state evolution.
Contribution
It introduces an extended definition of quantum Lyapunov exponents and analyzes quantum maps to explore the coexistence of chaos and regularity in quantum systems.
Findings
Quantum Lyapunov exponents can characterize chaos in quantum systems.
Irregular observable evolution can coexist with regular state evolution.
The study advances understanding of quantum chaos and predictability.
Abstract
We shortly review the progress in the domain of deterministic chaos for quantum dynamical systems. With the appropriately extended definition of quantum Lyapunov exponent we analyze various quantum dynamical maps. It is argued that, within Quantum Mechanics, irregular evolution for properly chosen observables can coexist with regular and predictable evolution of states.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Quantum chaos and dynamical systems · Chaos control and synchronization