Engineering correlation and entanglement dynamics in spin systems

Abstract

We show that the correlation and entanglement dynamics of spin systems can be understood in terms of propagation of spin waves. This gives a simple, physical explanation of the behaviour seen in a number of recent works, in which a localised, low-energy excitation is created and allowed to evolve. But it also extends to the scenario of translationally invariant systems in states far from equilibrium, which require less local control to prepare. Spin-wave evolution is completely determined by the system's dispersion relation, and the latter typically depends on a small number of external, physical parameters. Therefore, this new insight into correlation dynamics opens up the possibility not only of predicting but also of controlling the propagation velocity and dispersion rate, by manipulating these parameters. We demonstrate this analytically in a simple, example system.

4 pages, 4 figures, REVTeX4 format

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• Experimental characterization of coherent magnetization transport in a one-dimensional spin system
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• Characterization of qubit chains by Feynman probes
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• Control of bound-pair transport by periodic driving
• System size scaling of topological defect creation in a second-order dynamical quantum phase transition
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Spin Star as Switch for Quantum Networks
• Entanglement of Solitons in the Frenkel-Kontorova Model
• Thermalization dynamics close to a quantum phase transition
• Entanglement propagation through spin chains in the presence of a staggered magnetic field
• High-dimensional quantum state transfer in a noisy network environment
• Surface Entanglement in Quantum Spin Networks
• Loading and detecting a three-dimensional Fermi gas in one-dimensional optical superlattice
• Propagation properties and limitations on the attainable entanglement in a driven harmonic chain
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• Entanglement Transfer in a Composite Electron-Ion-Photon System
• Dissipation-assisted quantum correlations in coupled qubits
• Spatial Leggett-Garg inequalities