Interacting quantum walk on a graph

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 each node, couples the local spin with the particle. We observe the relaxation of the system toward 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.
Keywords : Statistical Physics
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Journal articles
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Submitted on : Tuesday, February 5, 2019 - 10:25:00 PM
Last modification on : Tuesday, April 16, 2019 - 11:34:29 PM

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Alberto D. Verga. Interacting quantum walk on a graph. Phys.Rev.E, 2019, 99 (1), pp.012127. ⟨10.1103/PhysRevE.99.012127⟩. ⟨hal-02008835⟩

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