Dynamical Symmetry Breaking and Quantum Nonintegrability
- 7 November 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 61 (19) , 2167-2170
- https://doi.org/10.1103/physrevlett.61.2167
Abstract
In this Letter, we describe the connection between the classical concepts of nonintegrability and chaos and the quantum concept of dynamical symmetry breaking. The existence of unbroken dynamical symmetry implies integrability of the mean-field motion in a quantum phase space, defined as a symplectic coherent-state parametrization of the coset space of the overall dynamical group. Broken dynamical symmetry leads to nonintegrability, and thus chaotic solutions to Hamilton's equations in the quantum phase space. We illustrate the general ideas with results obtained for a model of two coupled spins.This publication has 7 references indexed in Scilit:
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