For bosons on a lattice, the mean-field approximation error far from the initial condensate is bounded by any inverse power of the distance for times up to a distance-dependent light cone.
Effective Evolution Equations from Quantum Dynamics
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Local enhancement of the mean-field approximation for bosons
For bosons on a lattice, the mean-field approximation error far from the initial condensate is bounded by any inverse power of the distance for times up to a distance-dependent light cone.