The effects of Dzyaloshinskii–Moriya interaction on entanglement dynamics of a spin chain in a non-Markovian regime

Abstract

We study the dynamics of entanglement in a one-dimensional spin-1/2 XX model with three-spin interaction (TSI) and Dzyaloshinskii–Moriya (DM) interaction. The revival of the quantum entanglement is an indication of non-Markovian dynamics, which is observed in the system with TSI interaction. Results of the research show that in the system with both TSI and Heisenberg interaction, there is a critical value in which a dynamical phase transition from the Markovian to the non-Markovian regime. The dynamic behavior of the correlation in the system with XX Heisenberg and DM interaction is non-Markovian in αc. In the system with TSI and DM interaction, in D≥J′, DM interaction reinforces the non-Markovian behavior of the correlation introduced by TSI interaction. Moreover, the results show that in system with TSI, XX Heisenberg, and DM interaction, if D=αc, the non-Markovian behavior of the system is improved.