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arXiv · 1805.02929

Interacting quantum walk on a graph

Alberto D. Verga
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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.

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Alberto D. Verga. 2018-12-24. Interacting quantum walk on a graph. https://doi.org/10.1103/physreve.99.012127

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