2003/04/22 by Hisatsugu Yamasaki, Yuhei Natsume, Akira Terai +1 · 1 citation
Physics and Astronomy · #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #astro-ph #cond-mat.dis-nn #cond-mat.mtrl-sci #nlin.CD
paper · pdf · doi:10.1103/physreve.68.046201
published as Phys.Rev.E68:046201,2003 · 8 pages, 6 figures
arxiv created 2003/04/22 · openalex publication_date 2003/10/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the E(g) x in circle e(g) Jahn-Teller system for the purpose of revealing the nature of quantum chaos in crystals. This system simulates the interaction between the nuclear vibrational modes and the electronic motion in non-Kramers doublets for multiplets of transition-metal ions. Inclusion of the anharmonic potential due to the trigonal symmetry in crystals makes the system nonintegrable and chaotic. Besides the quantal analysis of the transition from Poisson to Wigner level statistics with increasing the strength of anharmonicity, we study the effect of chaos on the electronic orbital angular momentum and explore the magnetic g-factor as a function of the system's energy. The regular oscillation of this factor changes to a rapidly decaying irregular oscillation by increasing the anharmonicity (chaoticity).