Entanglement entropy of coupled conformal field theories and Fermi liquids

Entanglement entropy of coupled conformal field theories and Fermi liquids
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耦合共形场论和费米液体的纠缠熵

DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
Cenke Xu
Cenke Xu
中科院分区:
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作者:
Cenke Xu

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本文计算了一般空间维d$中两个耦合无隙系统的纠缠R 'enyi熵。无带隙系统既可以是共形场论,也可以是费米液体。我们假设两个系统在空间的$h$维子流形中一致耦合,其中$0ensuremath{le}hensuremath{le}d$。我们将重点关注R 'enyi熵与系统大小的标度,以及它与系统间耦合常数g$的标度。我们的计算将采用三种方法:(1)基态波泛函的精确计算,(2)泛函路径积分的微扰计算,和(3)标度参数。
In this paper, we calculate the entanglement R'enyi entropy of two coupled gapless systems in general spatial dimension $d$. The gapless systems can be either conformal field theories or Fermi liquids. We assume the two systems are coupled uniformly in an $h$-dimensional submanifold of the space, with $0ensuremath{le}hensuremath{le}d$. We will focus on the scaling of the R'enyi entropy with the size of the system, and its scaling with the intersystem coupling constant $g$. Three approaches will be used for our calculation: (1) exact calculation with ground-state wave functional, (2) perturbative calculation with functional path integral, and (3) scaling argument.
全息量子液体。
DOI: 10.1103/physrevlett.102.051602
发表时间: 2009
影响因子: 8.6
作者:
Karch A
通讯作者: Karch A