# Chaos and its quantization in dynamical Jahn-Teller systems.

@article{Yamasaki2003ChaosAI, title={Chaos and its quantization in dynamical Jahn-Teller systems.}, author={Hisatsugu Yamasaki and Yuhei Natsume and Akira Terai and Katsuhiro Nakamura}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2003}, volume={68 4 Pt 2}, pages={ 046201 } }

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…

## 11 Citations

Chaos in Jahn-Teller Rattling

- Physics
- 2014

We unveil chaotic behavior hidden in the energy spectrum of a Jahn-Teller ion vibrating in a cubic anharmonic potential as a typical model for rattling in cage-structure materials. When we evaluate…

Chaos-induced breaking of the Franck-Condon approximation

- Physics
- 2003

We investigate the vibrational structure of electronic spectra for the transition from the non-degenerate $A$ state to $E$ states in $E_g\otimes e_g$ Jahn-Teller systems with the trigonal field…

Frustrated quantum-spin system on a triangle coupled with eg lattice vibrations: correspondence to Longuet-Higgins et al’s Jahn–Teller model

- Chemistry, Physics
- 2004

We investigate the frustrated quantum three-spin model (S1,S2,S3) of spin = 1/2 on a triangle, in which spins are coupled with lattice-vibrational modes through the antiferromagnetic exchange…

Quantum chaos, localized states and clustering in excited spectra of Jahn–Teller models

- Physics
- 2007

Abstract We numerically studied complex excited spectra and their statistical characteristics of spin- two boson systems represented by the E ⊗ e and E ⊗ ( b 1 + b 2 ) Jahn–Teller models. For the E…

Level-dynamic approach to the excited spectra of the Jahn-Teller
model – kink-train lattice and ‘glassy’ quantum phase

- Physics
- 2008

AbstractThe dynamics of excited phonon spectra of the E⊗e
Jahn-Teller (hereafter, JT) model mapped onto the generalized Calogero-Moser (gCM)
gas of pseudoparticles implies a complex interplay between…

Repulsively interacting fermions in a two-dimensional deformed trap with spin-orbit coupling

- Physics
- 2014

We investigate a two-dimensional system of fermions with two values of the internal (spin) degree of freedom. It is confined by a deformed harmonic trap and subject to a Zeeman field, Rashba or…

Statistical properties of spectra in harmonically trapped spin–orbit coupled systems

- Physics
- 2014

We compute single-particle energy spectra for a one-body Hamiltonian consisting of a two-dimensional deformed harmonic oscillator potential, the Rashba spin–orbit coupling and the Zeeman term. To…

Quantum-"classical" correspondence in a nonadiabatic transition system.

- Physics, MedicinePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2004

A nonadiabatic transition system which exhibits "quantum chaotic" behavior is investigated from quasiclassical aspects and numerically show that there is a sound correspondence between the quantum chaos and classical chaos for the system.

Entanglement induced by nonadiabatic chaos

- Physics
- 2004

We investigate entanglement between electronic and nuclear degrees of freedom for a model nonadiabatic system. We find that entanglement (measured by the von Neumann entropy of the subsystem for the…

Entanglement and bifurcations in Jahn-Teller models

- Physics
- 2004

We compare and contrast the entanglement in the ground state of two Jahn-Teller models. The $E\otimes\beta$ system models the coupling of a two-level electronic system, or qubit, to a single…

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