Ourabah Kamel, Tribeche Mouloud
Theoretical Physics Laboratory, Faculty of Physics, University of Bab-Ezzouar, USTHB, Boîte Postale 32, El Alia, Algiers 16111, Algeria.
Algerian Academy of Sciences and Technologies, Algiers, Algeria.
Phys Rev E. 2017 Apr;95(4-1):042111. doi: 10.1103/PhysRevE.95.042111. Epub 2017 Apr 6.
In this paper, we consider entanglement in a system out of equilibrium, adopting the viewpoint given by the formalism of superstatistics. Such an approach yields a good effective description for a system in a slowly fluctuating environment within a weak interaction between the system and the environment. For this purpose, we introduce an alternative version of the formalism within a quantum mechanical picture and use it to study entanglement in the Heisenberg XY model, subject to temperature fluctuations. We consider both isotropic and anisotropic cases and explore the effect of different temperature fluctuations (χ^{2}, log-normal, and F distributions). Our results suggest that particular fluctuations may enhance entanglement and prevent it from vanishing at higher temperatures than those predicted for the same system at thermal equilibrium.
在本文中，我们采用超统计形式体系给出的观点，考虑非平衡态系统中的纠缠。这种方法对于处于缓慢波动环境且系统与环境间存在弱相互作用的系统能给出很好的有效描述。为此，我们在量子力学图景中引入该形式体系的一个替代版本，并将其用于研究受温度涨落影响的海森堡XY模型中的纠缠。我们考虑了各向同性和各向异性情况，并探究了不同温度涨落（χ²、对数正态和F分布）的影响。我们的结果表明，特定的涨落可能增强纠缠，并防止其在比处于热平衡的同一系统所预测的更高温度下消失。
