Understanding the propagation of excitations in quantum spin chains with different kind of interactions

FERRON, ALEJANDRO; SERRA, PABLO; OSENDA, OMAR

PHYSICA SCRIPTA - (Print)

IOP PUBLISHING LTD

Año: 2022 vol. 97

0031-8949

The dynamical behavior of the quantum state of different quantum spin chains, with designed site-dependent interaction strengths, is analyzed when the initial state belongs to the one excita- tion subspace. Our results show that the inhomogeneous chains transfer single excitations with near-perfect fidelity for two different spin chain Hamiltonians. The first one is the ferromagnetic Heisenberg Hamiltonian with nearest neighbor interactions. The second spin chain has long-range anisotropic interactions, ferromagnetic in one direction and antiferromagnetic in the orthogonal plane. Both designed chains have in common a partially ordered spectrum and well-localized eigen- vectors. This physical trait unifies the description of both kinds of systems.