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Nonlinear dynamics in quantum physics- the study of quantum chaos

L. A. Caron·H. Kröger·X. Q. Luo·G. Melkonyan·K. J. M. Moriarty
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Abstract

We use the quantum action to study the dynamics of quantum system at finite temperature. We construct the quantum action non-perturbatively and find temperature dependent action parameters. Here we apply the quantum action to study quantum chaos. We present a numerical study of a classically chaotic 2-D Hamiltonian system - harmonic oscillators with anharmonic coupling. We compare Poincar\'e sections for the quantum action at finite temperature with those of classical action.

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L. A. Caron, H. Kröger, X. Q. Luo, G. Melkonyan, K. J. M. Moriarty. 2002-03-05. Nonlinear dynamics in quantum physics- the study of quantum chaos. https://arxiv.org/abs/quant-ph/0203022

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