Entropic measure of disorder in a system of two-level atoms in 2D cavity - cellular automata approach

摘要

We present a two-dimensional cellular automata (CA) model involving a set of two-level subsystems ("atoms") which are located in square lattice, and can emit and absorb quanta of energy. Our model is an extension of the one-dimensional model discussed in the papers. We concentrate on the spreading of disorder in the system and propose entropic parameters describing two-dimensional system's dynamics. We show that whereas entropic measure undergoes saturation effects, its counterpart normalized per number of excitations can exhibit exponential grow.