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Transient ordering in the Gross-Pitaevskii lattice after an energy quench within a nonordered phase

Transient ordering in the Gross-Pitaevskii lattice after an energy quench within a nonordered phase

We numerically investigate heating-and-cooling quenches taking place entirely in the nonordered phase of the discrete Gross-Pitaevskii equation on a three-dimensional cubic lattice. In equilibrium, this system exhibits a $U(1)$-ordering phase transition at an energy density which is significantly lower than the minimum one during the quench. Yet, we observe that …