摘要翻译:
在简要介绍了量子系统中纠缠的概念之后,将这些思想应用于多体系统,证明了von Neumann熵是刻画空间不同区域自由度间纠缠的有效方法。它接近量子相变,具有普遍的特征,可以用来诊断这种现象。在第二部分中,我考虑了这种系统在哈密顿量中的一个参数突然改变的“量子猝灭”之后的酉时间演化,并论证了有限区域在有趣的瞬态效应之后,在后期应该有效地热化。
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英文标题:
《Entanglement Entropy in Extended Quantum Systems》
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作者:
John Cardy
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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: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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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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英文摘要:
After a brief introduction to the concept of entanglement in quantum systems, I apply these ideas to many-body systems and show that the von Neumann entropy is an effective way of characterising the entanglement between the degrees of freedom in different regions of space. Close to a quantum phase transition it has universal features which serve as a diagnostic of such phenomena. In the second part I consider the unitary time evolution of such systems following a `quantum quench' in which a parameter in the hamiltonian is suddenly changed, and argue that finite regions should effectively thermalise at late times, after interesting transient effects.
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PDF链接:
https://arxiv.org/pdf/708.2978