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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Cited by in corpus (6)

• Entanglement and correlation functions following a local quench: a conformal field theory approach
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Separability and ground state factorization in quantum spin systems
• Entanglement Resonance in Driven Spin Chains
• Entanglement of Solitons in the Frenkel-Kontorova Model
• Entanglement propagation through spin chains in the presence of a staggered magnetic field