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Spectral properties of quantum $N$-body systems versus chaotic properties of their mean field approximations

Patrizia Castiglione·Giovanni Jona-Lasinio·Carlo Presilla
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Abstract

We present numerical evidence that in a system of interacting bosons there exists a correspondence between the spectral properties of the exact quantum Hamiltonian and the dynamical chaos of the associated mean field evolution. This correspondence, analogous to the usual quantum-classical correspondence, is related to the formal parallel between the second quantization of the mean field, which generates the exact dynamics of the quantum $N$-body system, and the first quantization of classical canonical coordinates. The limit of infinite density and the thermodynamic limit are then briefly discussed.

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Patrizia Castiglione, Giovanni Jona-Lasinio, Carlo Presilla. 1996-04-15. Spectral properties of quantum $N$-body systems versus chaotic properties of their mean field approximations. https://doi.org/10.1088/0305-4470%2F29%2F19%2F005

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