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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
; | | Date: |
15 Apr 1996 | | Journal: | J.Phys. A29 (1996) 6169-6182 | | Subject: | Condensed Matter; Chaotic Dynamics | | 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. | | Source: | arXiv, cond-mat/9604084 | | Services: | Forum | Review | PDF | Favorites | |
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