Is Quantum Chaos Weaker Than Classical Chaos?

Details Is Quantum Chaos Weaker Than Classical Chaos? Is Quantum Chaos Weaker Than Classical Chaos?

2003-02-18

arxiv.org/abs/quant-ph/0302133v1

Phys.Lett. A322 (2004) 60-66

Physics

Quantum Physics

text (LaTeX) + 7 figs.(ps)

Scientific paper

10.1016/j.physleta.2004.01.004

We investigate chaotic behavior in a 2-D Hamiltonian system - oscillators with anharmonic coupling. We compare the classical system with quantum system. Via the quantum action, we construct Poincar\'{e} 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 exponts approaching a Gaussian with a strong correlation between its mean value and energy.

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