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广义Tavis Cummings模型中含XY自旋(1/2,1)原子相互作用的非经典性动力学

Dynamics of nonclassicality in a generalized Tavis Cummings model with XY spin $(1/2,1)$ atomic interactions

Bouchra El Alaoui, Abdallah Slaoui, Rachid Ahl Laamara

arXiv 2609.23648首次发表:更新:

发表机构

Faculty of Sciences, Mohammed V University in Rabat; Centre of Physics and Mathematics, CPM, Faculty of Sciences, Mohammed V University in Rabat(拉巴特穆罕默德五世大学理学院; 拉巴特穆罕默德五世大学理学院物理与数学中心)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究通过广义JC和TC模型,利用Wigner Yanase斜信息量化非经典性,发现共振条件下腔场与原子间高效激发交换增强场非经典性,而纵向磁场作为失谐参数削弱耦合,降低场非经典性,凸显了共振条件和激发流对非经典性动力学的关键作用。

AI 中文摘要

我们研究了在腔量子电动力学中描述光与物质相互作用的广义Jaynes Cummings (JC)和Tavis Cummings (TC)模型中,由Wigner Yanase斜信息量化的非经典性的动力学。我们首先分析了一个广义JC模型,该模型由单个玻色子腔模与自旋1原子耦合组成,重点研究腔场和原子子系统中非经典性的时间演化。然后,我们通过引入一个额外的自旋1/2原子,将该框架扩展到广义TC模型,从而能够考察集体原子自由度的影响。我们在有和没有XY自旋相互作用的情况下研究了全局动力学。我们的结果表明,在共振条件下,系统在腔场和原子子系统之间表现出有效的激发交换,导致规则、相干的非经典性动力学和增强的场非经典性产生。相反,增加的纵向磁场主要作为有效的失谐参数而非直接的交换相互作用。在这个非共振区域,原子-场耦合显著减弱,将激发局域在原子子系统内。这种局域化抑制了向腔场的相干能量转移,导致场非经典性的显著降低,而原子子系统保留了大部分的量子关联。值得注意的是,原子叠加态表现出高度不规则的自旋动力学,反映了失谐引起的量子关联重新分布。这些发现表明,自旋和场非经典性的动力学主要由相互作用介导的激发流和共振条件控制,而非仅由初始能量分布决定。

英文摘要

We investigate the dynamics of nonclassicality, quantified by the Wigner Yanase skew information, in generalized Jaynes Cummings (JC) and Tavis Cummings (TC) models describing light matter interactions in cavity quantum electrodynamics. We first analyze a generalized JC model consisting of a single bosonic cavity mode coupled to a spin 1 atom, focusing on the temporal evolution of nonclassicality in both the cavity field and the atomic subsystem. We then extend this framework to a generalized TC model by introducing an additional spin $1/2$ atom, enabling us to examine the influence of collective atomic degrees of freedom. The global dynamics are investigated both with and without an $XY$ spin interaction. Our results show that, under resonance conditions, the system exhibits efficient excitation exchange between the cavity field and the atomic subsystem, resulting in regular, coherent nonclassicality dynamics and enhanced field nonclassicality generation. Conversely, an increasing longitudinal magnetic field acts primarily as an effective detuning parameter rather than a direct exchange interaction. In this off resonant regime, the atom field coupling is substantially weakened, localizing excitations within the atomic subsystem. This localization suppresses coherent energy transfer to the cavity field, leading to a pronounced reduction in field nonclassicality, while the atomic subsystem retains the majority of the quantum correlations. Notably, atomic superposition states exhibit highly irregular spin dynamics, reflecting a detuning-induced redistribution of quantum correlations. These findings demonstrate that the dynamics of spin and field nonclassicality are governed primarily by interaction mediated excitation flow and resonance conditions rather than the initial energy distribution alone, ..

Journal refEl Alaoui, Bouchra, Abdallah Slaoui, and Rachid Ahl Laamara, "Dynamics of nonclassicality in a generalized Tavis Cummings model with XY spin (1/2, 1) atomic interactions." Physica A: Statistical Mechanics and its Applications (2026) 132061

DOI:10.1016/j.physa.2026.132061

论文原文

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