Dynamic Entanglement Evolution of Two-qubit XYZ Spin Chain in Markovian Environment

TL;DR

This paper introduces the KBES method to solve the master equation for a two-qubit XYZ spin chain in a Markovian environment, analyzing how various parameters affect entanglement and coherence over time.

Contribution

The paper presents a novel KBES approach for converting master equations into Schrödinger-like equations, enabling concise analysis of entanglement dynamics in spin chains.

Findings

Entanglement dynamics depend on anisotropy, temperature, and external magnetic field.

The final state retains coherence and entanglement influenced by initial conditions.

The KBES method simplifies solving complex master equations for spin systems.

Abstract

We propose a new approach called Ket-Bra Entangled State (KBES) Method for converting master equation into Schr\"{o}dinger-like equation. With this method, we investigate decoherence process and entanglement dynamics induced by a $2$-qubit spin chain that each qubit coupled with reservoir. The spin chain is an anisotropy $XYZ$ Heisenberg model in the external magnetic field $B$, the corresponding master equation is solved concisely by KBES method; Furthermore, the effects of anisotropy, temperature, external field and initial state on concurrence dynamics is analyzed in detail for the case that initial state is Extended Wenger-Like(EWL) state. Finally we research the coherence and concurrence of the final state (namely the density operator for time tend to infinite)