Transient ordering in the Gross-Pitaevskii lattice subject to an energy quench within the disordered phase

Using the discrete Gross-Pitaevskii equation on a three-dimensional cubic lattice, we numerically investigate energy quench dynamics in the vicinity of the continuous U(1) ordering transition. The post-quench relaxation is accompanied by a transient order revival: during non-equilibrium stages, the order parameter temporarily exceeds its vanishing equilibrium pre-quench value. The revival is associated with slowly relaxing population of lattice sites aggregating large portions of the potential energy. To observe the revival, no preliminary fine-tuning of the model parameters is necessary. Our findings suggest that the order revival may be a robust feature of a broad class of models. This premise is consistent with the experimental observations of the revival in dissimilar classes of condensed matter systems.