Quantum chaos in a harmonic waveguide with scatterers
Quantum Physics
2023-12-06 v2 Statistical Mechanics
Chaotic Dynamics
Abstract
A set of zero-range scatterers along its axis lifts the integrability of a harmonic waveguide. Effective solution of the Schr\"odinger equation for this model is possible due to the separable nature of the scatterers and millions of eigenstates can be calculated using modest computational resources. Integrability-chaos transition can be explored as the model chaoticity increases with the number of scatterers and their strengths. The regime of complete quantum chaos and eigenstate thermalization can be approached with 32 scatterers. This is confirmed by properties of energy spectra, the inverse participation ratio, and fluctuations of observable expectation values.
Keywords
Cite
@article{arxiv.2301.06065,
title = {Quantum chaos in a harmonic waveguide with scatterers},
author = {Vladimir A. Yurovsky},
journal= {arXiv preprint arXiv:2301.06065},
year = {2023}
}
Comments
Resubmission to SciPost, several figures are added or changed