Regular Article

Entanglement dynamics of n-qubit states in a hierarchical environment^★

¹ School of Electric Engineering and Information, Anhui University of Technology, Ma’anshan 243002, P.R. China
² School of mathematics, Anhui University of Technology, Ma’anshan 243002, P.R. China

^a e-mail: mxiaosan@mail.ustc.edu.cn

Received: 3 August 2018
Received in final form: 14 August 2018
Published online: 11 October 2018

Abstract

In this paper, we will investigate the entanglement dynamics of n-qubit states in a hierarchical environment which contains a single-mode cavity and a reservoir of an infinite number of modes. Our results imply that the time evolution of entanglement depends not only on the coupling strength between the system and the single-mode cavity but also on the correlation time of the reservoir which has no direct interaction with the states. With analysis, we find that the entanglement dynamics exhibits different behaviors in a parameter space depicted by the coupling strength and the correlation time of the reservoir. The effect of the size of the system on the pairwise entanglement is analyzed and the entanglement generation is discussed.