Spectral properties of quantumN-body systems versus chaotic properties of their mean-field approximations
- 7 October 1996
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (19) , 6169-6182
- https://doi.org/10.1088/0305-4470/29/19/005
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.Keywords
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