Quantum walk on a graph of spins: magnetism and entanglement

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 enta...

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Bibliographic Details
Published in:arXiv.org 2020-06
Main Authors: Sellapillay, Kevissen, Verga, Alberto D
Format: Article
Language:English
Subjects:
Entanglement
Magnetic properties
Magnetism
Particle spin
Online Access:Get full text
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Summary: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).
ISSN:2331-8422
DOI:10.48550/arxiv.2006.14883