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Quantum walk on a graph of spins: magnetism and entanglement

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arxiv 2006.14883 v1 pith:RSLLP6IQ submitted 2020-06-26 quant-ph

Quantum walk on a graph of spins: magnetism and entanglement

classification quant-ph
keywords entanglementspinsgraphmodelparticlequantumwalkangle
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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).

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