Partial and quasi dynamical symmetries in quantum many-body systems
A. Leviatan
TL;DR
This paper introduces partial and quasi dynamical symmetries in quantum many-body systems, illustrating their importance in nuclear spectroscopy, quantum phase transitions, and systems exhibiting both regularity and chaos, to understand emergent simplicity.
Contribution
It defines and demonstrates the relevance of PDS and QDS in complex quantum systems, highlighting their role in understanding emergent simplicity.
Findings
PDS and QDS are relevant to nuclear spectroscopy.
They help explain quantum phase transitions.
They reveal emergent simplicity in complex 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.
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