Chaos in effective classical and quantum dynamics

Details Chaos in effective classical and quantum dynamics Chaos in effective classical and quantum dynamics

1997-07-04

arxiv.org/abs/hep-th/9707054v2

Phys.Rev. E57 (1998) 1223-1226

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, RevTeX, 5 figures, uses psfig, changed indroduction and conclusions, added references

Scientific paper

10.1103/PhysRevE.57.R1223

We investigate the dynamics of classical and quantum N-component phi^4 oscillators in the presence of an external field. In the large N limit the effective dynamics is described by two-degree-of-freedom classical Hamiltonian systems. In the classical model we observe chaotic orbits for any value of the external field, while in the quantum case chaos is strongly suppressed. A simple explanation of this behaviour is found in the change in the structure of the orbits induced by quantum corrections. Consistently with Heisenberg's principle, quantum fluctuations are forced away from zero, removing in the effective quantum dynamics a hyperbolic fixed point that is a major source of chaos in the classical model.

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