Israel Michael Sigal, Jingxuan Zhang
Published 2022-12-29Version 1
We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general discrete, long-range quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb-Robinson-type bound.
Comments: 43 pages, 5 figures
On the propagation of a perturbation in an anharmonic system
On the microscopic propagation speed of long-range quantum many-body systems
Propagation Speed of the Maximum of the Fundamental Solution to the Fractional Diffusion-Wave Equation
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