Entanglement dynamics in finite qudit chain in consistent magnetic field

TL;DR

This paper develops a theoretical framework to analyze entanglement dynamics in finite chains of qutrits under time-dependent magnetic fields, providing analytical formulas and identifying conditions to preserve entanglement.

Contribution

It introduces a closed system of equations for qutrits in dynamic magnetic fields and derives analytical formulas for entanglement measures in finite qudit chains.

Findings

Magnetic field modulation can preserve entanglement in coupled qutrits.

Analytical formulas for entanglement measures in chains of 2 to 6 qutrits are provided.

The dynamics depend on initial states and magnetic field modulation.

Abstract

Based on the Liouville-von Neumann equation, we obtain a closed system of equations for the description of a qutrit or coupled qutrits in an arbitrary, time-dependent, external magnetic field. The dependence of the dynamics on the initial states and the magnetic field modulation is studied analytically and numerically. We compare the relative entanglement measure's dynamics in bi-qudits with permutation particle symmetry. We find the magnetic field modulation which retains the entanglement in the system of two coupled qutrits. Analytical formulae for the entanglement measures in finite chains from 2 to 6 qutrits or 3 quartits are presented.