Entanglement in time fractional evolution of two two-level atom system

In the present work, an analytical fractional Schrödinger equation solution is exploited via studying the fractional evolution in time of a two interacting two-level atoms. We investigate the entanglement degree by means of concurrence of the density operator described the atom-atom interaction. Our results show that the concurrence fluctuate periodically between its maximum and minimum bounds, where in general the concurrence takes large numbers for standard fractional Schrödinger equation.