Dynamical symmetry breaking and quantum nonintegrability

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

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)2167-2170
Number of pages4
JournalPhysical review letters
Issue number19
Publication statusPublished - 1988 Jan 1

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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