Prefect Transfer of Quantum States on Spin Chain with Dzyaloshinskii- Moriya interaction in inhomogeneous Magnetic field

TL;DR

This paper investigates the conditions for perfect quantum state transfer in a spin chain modeled with Dzyaloshinskii-Moriya interaction under inhomogeneous magnetic fields, highlighting the influence of system parameters on fidelity.

Contribution

It introduces a modified Dzyaloshinskii-Moriya model to analyze quantum state transfer, deriving conditions for perfect transfer based on magnetic field and interaction parameters.

Findings

Fidelity depends on magnetic field, exchange coupling, and Dzyaloshinskii-Moriya interaction.

Perfect transfer occurs when magnetic field B is much greater than a function of system parameters.

Numerical analysis confirms the conditions for achieving high fidelity in state transfer.

Abstract

In this work, we use the Hamiltonian of a modified Dzyaloshinskii-Moriya model and investigate the perfect transfer of the quantum state on the spin networks. In this paper, we calculate fidelity in which fidelity depends on magnetic field and another parameters. Then, by using the numerical analysis we show that the fidelity of the transferred state is determined by magnetic field $B$, exchange coupling $J$ and the Dzyaloshinskii- Moriya interaction $D$. We also found that the perfect transfer of the quantum state is possible with condition $B \gg \Gamma^2\omega^{N/2}$ where $\Gamma =((J+iD)/2)$ and $\omega=\Gamma^*/ \Gamma$.