Partial and quasi dynamical symmetries in quantum many-body systems

Abstract

We introduce the notions of partial dynamical symmetry (PDS) and quasi dynamical symmetry (QDS) and demonstrate their relevance to nuclear spectroscopy, to quantum phase transitions and to mixed systems with regularity and chaos. The analysis serves to highlight the potential role of PDS and QDS towards understanding the emergent "simplicity out of complexity" exhibited by complex many-body systems.

17 pages, 12 figures, plenary talk at GROUP30: The XXX Int. Colloquium on Group-Theoretical Methods in Physics, July 14-18, 2014, Ghent University, Belgium

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