Dynamics of X-state in anisotropic Heisenberg spin with magnetic field

TL;DR

This paper investigates the dynamic behavior of X-states in an anisotropic Heisenberg spin system under a magnetic field, revealing stationary states including Bell diagonal states and specific parametric states.

Contribution

It identifies conditions under which certain X-states remain stationary in an anisotropic Heisenberg model with magnetic field, expanding understanding of quantum state dynamics.

Findings

Bell diagonal states are stationary.

A set of two parametric states are stationary with magnetic field.

Stationary states depend on system parameters.

Abstract

We study the dynamics of X-state for anisotropic Heisenberg spin system using quantum fidelity. It is shown that while Bell diagonal state, a special class of X-state, is stationary, there exists a set of two parametric states which are stationary in presence of external uniform magnetic field.