Dynamical symmetry breaking and quantum nonintegrability

Wei-Min Zhang, Craig C. Martens, Da Hsuan Feng, Jian Min Yuan

研究成果: Article同行評審

35 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)2167-2170
頁數4
期刊Physical review letters
61
發行號19
DOIs
出版狀態Published - 1988 一月 1

All Science Journal Classification (ASJC) codes

  • 物理與天文學 (全部)

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