Dynamics of entanglement and nonclassicality in a time-dependent Dirac oscillator

IF 2.6 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2026-06-15 Epub Date: 2026-03-03 DOI:10.1016/j.physleta.2026.131544

Yassine Chargui , Abdelmalek Boumali

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引用次数: 0

Abstract

This paper has a twofold objective: First, we present the exact treatment of a

(1 + 1)

-dimensional Dirac oscillator where the mass and the frequency vary in time as:

m = m_{0} e^{γ t}

and

ω = ω_{0} e^{- γ t}

. This choice allows separable solutions in time and space, obtained via a direct method. Second, motivated by the model’s equivalence to the Anti-Jaynes-Cummings interaction between a two-level atom and a single-mode quantized field, we investigate the dynamics of quantum entanglement between the chirality (atom) and position (field) degrees of freedom, along with the individual nonclassicalities of each subsystem, assuming the field starts in a number state. Entanglement is quantified by negativity and Von Neumann entropy, while nonclassicality is assessed via entanglement potential, Wigner function negativity, and a skew information-based measure. The analysis reveals that both the entanglement and individual nonclassicalities dynamically stabilize at nonzero values, in contrast to the time-independent case, where these quantities undergo persistent oscillations.

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时变狄拉克振荡器中的纠缠动力学和非经典性

本文有两个目的：首先，我们给出了质量和频率随时间变化为m=m0e - γt和ω=ω0e - γt的（1+1）维狄拉克振荡器的精确处理。这种选择允许在时间和空间上可分离的解，通过直接方法获得。其次，由于该模型等效于两能级原子和单模量子化场之间的Anti-Jaynes-Cummings相互作用，我们研究了手性（原子）和位置（场）自由度之间的量子纠缠动力学，以及每个子系统的个体非经典性，假设场从数字状态开始。纠缠通过负性和冯·诺依曼熵来量化，而非经典性通过纠缠势、维格纳函数负性和基于偏态信息的度量来评估。分析表明，与时间无关的情况相反，纠缠和个体非经典性都动态稳定在非零值，其中这些量经历持续振荡。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.