Leyton, V.Arguëlles, A.Camargo, M.2020-02-102020-02-102018-10-0102536102https://repositorio.usc.edu.co/handle/20.500.12421/2703A quantum simulator is proposed for nucleation and growth dynamics using an out-of equilibrium optical lattice. We calculate the density of neutral atoms in the lattice and we establish the connection with the Kolmogorov-Mehl-Johnson-Avrami model. Here we show that an Avrami equation can describe most of the evolution in time of the population growth in the lattice, coherence between neutral atoms leads a complex growth rate.en1D optical latticeBose-Hubbard modelNucleationOut-equilibrium systemArticle