Non-Markovian dynamics in the extended cluster spin-1/2 XX chain

TL;DR

This paper investigates how entanglement dynamics in an extended XX spin chain transition from Markovian to non-Markovian behavior due to three-spin interactions, revealing entanglement sudden death and environment sensitivity.

Contribution

It identifies a critical TSI value causing a shift from Markovian to non-Markovian entanglement dynamics in the extended XX chain.

Findings

Existence of a TSI critical point for dynamics transition

Observation of entanglement sudden death in non-Markovian regime

Environmental entanglement dynamics are sensitive to Markovianity

Abstract

We study the dynamics of entanglement in the extended cluster spin-1/2 XX chain, equivalent to a 1D spin-1/2 XX model with three-spin interaction (TSI). Selecting the nearest neighbor pair spins as an open quantum system, the rest of the chain plays the role of environment. The two-spin Heisenberg and the TSI interaction are responsible for coupling between system and environment. We show the existence of a critical value in the TSI, where the dynamics of concurrence changes from Markovian to the non-Markovian. In the region with the non-Markovian dynamics, entanglement sudden death in the system is observed. By focusing on the nearest neighbor pair spins of the environment, we have showed that the dynamics of entanglement in the environment is sensitive to the Markovian and non-Markovian regions.