Multi-qubit non-Markovian dynamics in photonic crystal with infinite cavity-array structure

Abstract

We study the exact non-Markovian dynamics of a multi-qubit system coupled to a photonic-crystal waveguide with infinite cavity-array structure. A general solution of the evolution state of the system is solved for a general initial state in the single-excitation subspace. With this solution, we find that the non-Markovian effect of the environment on the system could be enhanced not only by increasing the system-environment coupling strength but also by adding the qubit number in the system. The explicit non-Markovian dynamics are discussed under two initial states to see the non-Markovian effect on entanglement preservation and entanglement generation. We find that the non-Markovian effect tends to preserve the system in its initial state.