Holographic computations of the quantum information metric
Holographic computations of the quantum information metric
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DOI：
10.1088/1361-6382/aa69a6
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发表时间：
2016-07
影响因子：
3.5
通讯作者：
A. Trivella
中科院分区：
文献类型：
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作者：
A. Trivella
在这篇文章中，我们展示了如何使用微扰方法全息计算量子信息度规。特别地，当标量算符引起共形场理论态的形变时，相应的体组态将退化为微扰探测背景的标量场。我们研究了两个具体的例子：由初级算符形变的CFT基态和由边缘算符形变的d=2热场双态。最后，我们将体结构推广到多维参数空间的情况，并证明了量子信息度规与相应标量场的非线性西格玛模型的度规一致。
In this paper we show how the quantum information metric can be computed holographically using a perturbative approach. In particular when the deformation of the conformal field theory state is induced by a scalar operator the corresponding bulk configuration reduces to a scalar field perturbatively probing the background. We study two concrete examples: a CFT ground state deformed by a primary operator and thermofield double state in d = 2 deformed by a marginal operator. Finally, we generalize the bulk construction to the case of a multi dimensional parameter space and show that the quantum information metric coincides with the metric of the non-linear sigma model for the corresponding scalar fields.