Eur. Phys. J. D (2015) 69: 147
https://doi.org/10.1140/epjd/e2015-50858-4

Regular Article

Influences of initial states of a bath on the dynamics of central spin

¹ School of Physics, Beijing Institute of Technology, Beijing 100081, P.R. China
² School of Information and Electronic Engineering, Shandong Institute of Business and Technology, Yantai 264000, P.R. China

^a e-mail: zoujian@bit.edu.cn

Received: 30 November 2014
Received in final form: 17 February 2015
Published online: 4 June 2015

Abstract

We investigate the dynamics of an electronic spin coupled to a bath of nuclear spins. We consider three types of initial states with different correlations between the system and the bath, i.e., quantum correlation, classical correlation, and no-correlation. Although the reduced density matrices of the central spin and the bath are the same for these three initial states, the dynamical behaviors of the system are rather different. Interestingly, we show that the quantum correlations of the initial state between the system and the bath can lead to an increase in the coherence of the system while the classical correlations and no-correlation can not. In addition, we find that the initial bath state has significant influences on the dynamics of the system, and the effects of the distribution of coupling constants on the central spin crucially depend on the initial state of the spin bath.