Magnetic Field Control of the Quantum Chaotic Dynamics of Hydrogen Analogues in an Anisotropic Crystal Field

TL;DR

This study demonstrates how magnetic fields can tune the quantum chaotic behavior of hydrogen-like impurities in anisotropic crystals, revealing a transition from regular to chaotic energy level statistics.

Contribution

It introduces a method to control quantum chaos in solid-state systems via magnetic field orientation and strength, highlighting the role of crystal anisotropy.

Findings

Energy level statistics transition from Poisson to Wigner distributions.

Magnetic field orientation influences the degree of quantum chaos.

Crystal anisotropy affects the regularity-chaos transition.

Abstract

We report magnetic field control of the quantum chaotic dynamics of hydrogen analogues in an anisotropic solid state environment. The chaoticity of the system dynamics was quantified by means of energy level statistics. We analyzed the magnetic field dependence of the statistical distribution of the impurity energy levels and found a smooth transition between the Poisson limit and the Wigner limit, i.e. transition between regular Poisson and fully chaotic Wigner dynamics. Effect of the crystal field anisotropy on the quantum chaotic dynamics, which manifests itself in characteristic transitions between regularity and chaos for different field orientations, was demonstrated.