Interacting quantum walk on a graph
Quantum Physics
2019-01-23 v2
Abstract
We introduce an elementary quantum system consisting of a set of spins on a graph and a particle hopping between its nodes. The quantum state is build sequentially, applying a unitary transformation that couples neighboring spins and, at a node, the local spin with the particle. We observe the relaxation of the system towards a stationary paramagnetic or ferromagnetic state, and demonstrate that it is related to eigenvectors thermalization and random matrix statistics. The relation between these macroscopic properties and interaction generated entanglement is discussed.
Cite
@article{arxiv.1805.02929,
title = {Interacting quantum walk on a graph},
author = {Alberto D. Verga},
journal= {arXiv preprint arXiv:1805.02929},
year = {2019}
}
Comments
15 pages, 11 figures (v2 extended version)