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Nonperturbative bounds on electron spin coherence times induced by hyperfine interactions

Nonperturbative bounds on electron spin coherence times induced by hyperfine interactions

We address the decoherence of a localized electron spin in an external magnetic field due to the hyperfine interaction with a lattice of nuclear spins. Using a completely nonperturbative method, rigorous bounds on the ${T}_{1}$ and ${T}_{2}$ coherence times for the electron spin are provided. It is shown that for …