Is quantum chaos weaker than classical chaos?

We investigate chaotic behavior in a 2D Hamiltonian system—oscillators with anharmonic coupling. We compare the classical system with quantum system. Via the quantum action, we construct Poincaré sections and compute Lyapunov exponents for the quantum system. We find that the quantum system is globa...

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Bibliographic Details
Published in:Physics letters. A 2004-02, Vol.322 (1), p.60-66
Main Authors: Caron, L.A., Huard, D., Kröger, H., Melkonyan, G., Moriarty, K.J.M., Nadeau, L.P.
Format: Article
Language:English
Subjects:
Fundamentals of quantum mechanics
Quantum chaos
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Summary:We investigate chaotic behavior in a 2D Hamiltonian system—oscillators with anharmonic coupling. We compare the classical system with quantum system. Via the quantum action, we construct Poincaré sections and compute Lyapunov exponents for the quantum system. We find that the quantum system is globally less chaotic than the classical system. We also observe with increasing energy the distribution of Lyapunov exponents approaching a Gaussian with a strong correlation between its mean value and energy.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2004.01.004