Dynamics of Entanglement in one and two-dimensional spin systems

TL;DR

This paper reviews how entanglement evolves in 1D and 2D spin systems influenced by magnetic fields and anisotropy, discussing computational techniques for large systems at various temperatures.

Contribution

It provides a comprehensive overview of entanglement dynamics and discusses advanced computational methods for large spin systems.

Findings

Entanglement dynamics depend on magnetic field and anisotropy.

Various techniques for large Hilbert space spin systems are compared.

The review covers zero and finite temperature effects.

Abstract

We present a review of dynamics of entanglement in one and two dimensional systems under the effect of external magnetic field and different degrees of anisotropy at zero and finite temperatures. Different techniques for treating the spin systems with large Hilbert space dimensions are discussed such as trace minimization algorithm, time-evolution matrix transformation and step by step projection technique.