Chaos enhancement in large-spin chains

We study the chaotic properties of a large-spin XXZ chain with onsite disorder and a small number of excitations above the fully polarized state. We show that while the classical limit, which is reached for large spins, is chaotic, enlarging the spin suppresses quantum chaos features. We examine ways to facilitate chaos by introducing additional terms to the Hamiltonian. Interestingly, perturbations that are diagonal in the basis of product states in the z-direction do not lead to significant enhancement of chaos, while off-diagonal perturbations restore chaoticity for large spins, so that only three excitations are required to achieve strong level repulsion and ergodic eigenstates.

Automated summary

We investigate the chaotic properties of a large-spin XXZ chain with onsite disorder and a small number of excitations. Our findings reveal that the classical limit is chaotic, however, quantum chaos features are suppressed as the spin is increased. We explore methods to enhance chaos by introducing additional terms to the Hamiltonian. Interestingly, diagonal perturbations in the z-direction do not significantly enhance chaos, while off-diagonal perturbations restore chaoticity for large spins, requiring only three excitations to achieve strong level repulsion and ergodic eigenstates.