Chaos and its quantization in dynamical Jahn-Teller systems

Abstract

We investigate the $E_g\otimes e_g$ Jahn-Teller system for the purpose to reveal 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).

8 pages, 6 figures

Cited by in corpus (15)

• Entanglement and bifurcations in Jahn-Teller models
• Integrability vs Quantum Thermalization
• Jahn-Teller systems from a cavity QED perspective
• Out-of-time-order correlator in the quantum Rabi model
• Statistical properties of spectra in harmonically trapped spin-orbit coupled systems
• Quantum chaotic patterns in the E x (b_1+b_2) Jahn-Teller model
• Incipience of quantum chaos in the Jahn-Teller model
• Marginal intermediate statistics in the excited spectra of E\otimes (b_1+b_2) Jahn-Teller systems
• Entanglement induced by nonadiabatic chaos
• Frustrated quantum-spin system on a triangle coupled with $e_g$ lattice vibrations - Correspondence to Longuet-Higgins et al.'s Jahn-Teller model -
• Repulsively interacting fermions in a two-dimensional deformed trap with spin-orbit coupling
• Chaos in Jahn-Teller Rattling
• Quantum-"classical" correspondence in a nonadiabatic-transition system
• Quantum chaos, localized states and clustering in excited spectra of Jahn-Teller models
• Level-dynamic approach to the excited spectra of the Jahn-Teller model - kink-train lattice and 'glassy' quantum phase