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Correlation Localization in Waveguide QED with Delayed Interactions
N. Vera, F. M. Quinteros, P. Barberis-Blostein, P. Solano·July 8, 2026
Quantum PhysicsAtomic Physics
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Abstract
We study the atom-atom correlation length in an atomic array coupled to a waveguide under the Bragg condition with delayed non-Markovian interactions caused by a finite photon propagation time. Starting from a single excited atom, the excitation partially spreads among all atoms, reaching a steady state. The remaining excitation localizes near the initially excited atom, and the atom-atom correlation length decreases as a power law with the interaction delay. This localization phenomenon reveals how the delay-induced non-Markovian behavior affects the correlation transport in waveguide QED systems.