Dipolarly-Coupled Chaotic Quantum Spin Systems

Understand

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.