A Krylov-space approach provides exact expressions for the Lieb-Robinson velocity and quantum speed limit in the single-excitation subspace of inhomogeneous spin ensembles, revealing strong dependence on the resonance frequency distribution.
Forq→1 +,N→ ∞, which results in limλ→∞H(N) n (ξ)→H n(ξ), and the Hermite polynomials for the Gaussian distribution is recovered
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Quantum information spreading in inhomogeneous spin ensembles
A Krylov-space approach provides exact expressions for the Lieb-Robinson velocity and quantum speed limit in the single-excitation subspace of inhomogeneous spin ensembles, revealing strong dependence on the resonance frequency distribution.