摘要翻译:
我们考虑了两个典型的量子模型,即自旋1/2XY链和量子伊辛链,研究了长度为l的均匀和非均匀系统中l自旋块的纠缠熵S(l,l)。利用自由费米子技术和微扰展开两种不同的方法,揭示了它们之间的精确关系。利用这一关系,我们将两个模型之间的已知结果进行了转换,得到了临界齐次量子Ising链熵的加性常数和随机XY链的有效中心电荷。
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英文标题:
《Exact relationship between the entanglement entropies of XY and quantum
Ising chains》
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作者:
F. Igl\'oi and R. Juh\'asz
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最新提交年份:
2008
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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:
We consider two prototypical quantum models, the spin-1/2 XY chain and the quantum Ising chain and study their entanglement entropy, S(l,L), of blocks of l spins in homogeneous or inhomogeneous systems of length L. By using two different approaches, free-fermion techniques and perturbational expansion, an exact relationship between the entropies is revealed. Using this relation we translate known results between the two models and obtain, among others, the additive constant of the entropy of the critical homogeneous quantum Ising chain and the effective central charge of the random XY chain.
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PDF链接:
https://arxiv.org/pdf/709.3927


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