Quench dynamics of neutral atoms in out-equilibrium one dimensional optical lattices

TL;DR

This paper proposes a quantum simulator using out-of-equilibrium optical lattices to model nucleation and growth dynamics, connecting experimental density evolution with classical growth models like Avrami's equation.

Contribution

It introduces a novel approach to simulate nucleation and growth in quantum systems using optical lattices and links the dynamics to classical models.

Findings

Avrami equation describes the population growth in the lattice

Coherence between atoms influences the growth rate

Density evolution matches classical nucleation models

Abstract

A 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 a 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.