Quantum walk on a graph of spins: magnetism and entanglement
Quantum Physics
2021-03-30 v1
Abstract
We introduce a model of a quantum walk on a graph in which a particle jumps between neighboring nodes and interacts with independent spins sitting on the edges. Entanglement propagates with the walker. We apply this model to the case of a one dimensional lattice, to investigate its magnetic and entanglement properties. In the continuum limit, we recover a Landau-Lifshitz equation that describes the precession of spins. A rich dynamics is observed, with regimes of particle propagation and localization, together with spin oscillations and relaxation. Entanglement of the asymptotic states follows a volume law for most parameters (the coin rotation angle and the particle-spin coupling).
Cite
@article{arxiv.2006.14883,
title = {Quantum walk on a graph of spins: magnetism and entanglement},
author = {Kevissen Sellapillay and Alberto D. Verga},
journal= {arXiv preprint arXiv:2006.14883},
year = {2021}
}
Comments
50 pages, 114 references, 30 figures