摘要翻译:
研究了铁磁XY模型在零温随机磁场和有限温均匀磁场中的纠缠。我们用并发度来量化纠缠。我们发现,在均匀磁场H$的铁磁区中,所有的并发都是由随机磁场和热涨落引起的。在一个特定的区域$H$中,次近邻并发是由随机场产生的,但不是在有限温度下产生的。我们还发现,在随机磁场中,纠缠最大点的定性行为取决于其分布函数的方差是否有限。
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英文标题:
《The entanglement of the XY spin chain in a random magnetic field》
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作者:
Masashi Fujinaga and Naomichi Hatano (IIS, U. Tokyo)
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最新提交年份:
2007
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分类信息:
一级分类:Physics 物理学
二级分类:Quantum Physics 量子物理学
分类描述:Description coming soon
描述即将到来
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一级分类:Physics 物理学
二级分类:Disordered Systems and Neural Networks 无序系统与
神经网络
分类描述:Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜;随机、非周期和准周期系统的性质;无序介质中的传输;本地化;由缺陷和无序介导的现象;神经网络
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
We investigate the entanglement of the ferromagnetic XY model in a random magnetic field at zero temperature and in the uniform magnetic field at finite temperatures. We use the concurrence to quantify the entanglement. We find that, in the ferromagnetic region of the uniform magnetic field $h$, all the concurrences are \textit{generated} by the random magnetic field and by the thermal fluctuation. In one particular region of $h$, the next-nearest neighbor concurrence is generated by the random field but not at finite temperatures. We also find that the qualitative behavior of the maximum point of the entanglement in the random magnetic field depends on whether the variance of its distribution function is finite or not.
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PDF链接:
https://arxiv.org/pdf/706.4162