Zeeman effects on the entanglement of non-equilibrium finite-spin systems

TL;DR

This paper investigates how Zeeman effects influence quantum entanglement in non-equilibrium finite-spin systems under external fields, using thermofield dynamics to analyze entanglement oscillations and the impact of competing fields.

Contribution

It introduces a TFD-based method to analyze Zeeman effects on entanglement in non-equilibrium spin systems with external fields, highlighting oscillatory behaviors.

Findings

Zeeman effect causes 'twin-peaks' oscillations in entanglement entropy.

Competing external fields significantly affect entanglement dynamics.

The TFD approach effectively captures non-equilibrium entanglement phenomena.

Abstract

We study the Zeeman effect on entanglement of non-equilibrium finite-spin systems with external fields using a method based on thermofield dynamics (TFD). For this purpose, the extended density matrices and extended entanglement entropies of two systems with either non-competing or competing external fields are calculated according to the dissipative von Neumann equation, and the numerical results are compared. Consequently, through the "twin-peaks" oscillations of the quantum entanglement, we have illustrated the Zeeman effect on the entanglement of non-equilibrium finite-spin systems with competing external fields in the TFD algorithm.