Spectral properties of quantum N-body systems versus chaotic
properties of their mean field approximations
release_uf6bebftjrd47fdohzmowyps5u
by
Patrizia Castiglione,
Giovanni Jona-Lasinio,
Carlo Presilla
1996
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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