Dipolarly-Coupled Chaotic Quantum Spin Systems
Abstract
We numerically study quantum chaos properties of long-range XXZ dipolar Hamiltonian spin systems. Two geometries are considered: (i) an open chain with 19 spins, (ii) a face-centered cubic lattice with 14 spins. Energy level-spacing distribution indicates that the three-dimensional geometry is highly chaotic, while the one-dimensional system is mildly chaotic for small chains, but has increasing chaoticity for larger chains. We also look at statistical properties of energy eigenvectors, and of one- and two-body local observables. Finally, we present some preliminary results on time-evolution, local spin dynamics and thermalization. Quantum chaos may have important implications for "scrambling" of quantum information, in both condensed matter systems and in astrophysical applications such as black holes.
Keywords
Cite
@article{arxiv.1711.01948,
title = {Dipolarly-Coupled Chaotic Quantum Spin Systems},
author = {Dhrubo Jyoti},
journal= {arXiv preprint arXiv:1711.01948},
year = {2017}
}
Comments
Undergraduate Thesis, awarded High Honors. Complete Matlab code included in Appendix. Email for questions/comments: Lorenza.Viola@dartmouth.edu