Dissipative dynamics of entangled finite-spin systems with non-competitive external fields

TL;DR

This paper introduces a thermofield dynamics-based method to analyze entanglement in finite-spin systems under external fields, covering both equilibrium and non-equilibrium scenarios, and demonstrates its effectiveness through derived temperature and time-dependent properties.

Contribution

The paper presents a novel TFD-based approach to study entanglement dynamics in finite-spin systems with external fields, applicable to both equilibrium and non-equilibrium conditions.

Findings

Temperature dependence of density matrices derived

Time evolution of entanglement entropy obtained

Method confirmed effective for dissipative spin systems

Abstract

We apply a new method based upon thermofield dynamics (TFD) to study entanglement of finite-spin systems with non-competitive external fields for both equilibrium and non-equilibrium cases. For the equilibrium finite-spin systems, the temperature dependence of the extended density matrices is derived using this method, and the effect of non-competitive external field is demonstrated. For the non-equilibrium finite-spin systems, the time dependence of the extended density matrices and the extended entanglement entropies is derived in accordance with von Noumann equation, and the dissipative dynamics of the finite-spin systems is argued. Consequently, the applicability of the TFD-based method to describe entanglement is confirmed in both equilibrium and non-equilibrium cases with the external fieds.