Quantum chaos in many-body systems: what can we learn from the Ce atom?

V. V. Flambaum, A. A. Gribakina, G. F. Gribakin, I. V. Ponomarev

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)

Abstract

Results of an extensive study of a real quantum chaotic many-body system – the Ce atom – are presented. We discuss the origins of the quantum chaotic behaviour of the system, analyse statistical and dynamical properties of the multi-particle chaotic eigenstates and consider matrix elements or transition amplitudes between them. We show that based on the universal properties of the chaotic eigenstates a statistical theory of finite few-particle systems with strong interaction can be developed. We also discuss such important physical effects as enhancement of weak perturbations in many-body quantum chaotic systems, distribution of single-particle occupation numbers and its deviations from the standard Fermi–Dirac shape, and ways of introducing statistical temperature-based description in such systems.
Original languageEnglish
Pages (from-to)205-220
Number of pages16
JournalPhysica D: Nonlinear Phenomena
Volume131
Issue number1-4
DOIs
Publication statusPublished - 01 Jul 1999

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