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

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

1996-04-15

arxiv.org/abs/cond-mat/9604084v1

J.Phys.A29:6169-6182,1996

Physics

Condensed Matter

15 pages RevTeX, 11 postscript figures included with psfig, uuencoded gz-compressed .tar file

Scientific paper

10.1088/0305-4470/29/19/005

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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