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Nonequilibrium Condensate Deformation of a Bose Gas Under Ramped Weak Disorder

Perturbative mean-field theory of how the superfluid fraction and condensate deformation of a weakly interacting ultracold Bose gas evolve as a weak random disorder potential is ramped up in time, splitting each deformation into a reversible equilibrium (Huang-Meng) part and a protocol-dependent nonequilibrium dynamical part, with closed-form results for an exponential ramp and analysis of the resulting out-of-equilibrium steady state and its correlation functions.