Informational properties of holographic Lifshitz field theory *

Author:

Gong Huajie,Liu Peng,Fu Guoyang,Kuang Xiao-Mei,Wu Jian-Pin

Abstract

Abstract In this paper, we explore the properties of holographic entanglement entropy (HEE), mutual information (MI) and entanglement of purification (EoP) in holographic Lifshitz theory. These informational quantities exhibit some universal properties of holographic dual field theory. For most configuration parameters and temperatures, these informational quantities change monotonically with the Lifshitz dynamical critical exponent z. However, we also observe some non-monotonic behaviors for these informational quantities in some specific spaces of configuration parameters and temperatures. A particularly interesting phenomenon is that a dome-shaped diagram emerges in the behavior of MI vs z, and correspondingly a trapezoid-shaped profile appears in that of EoP vs z. This means that for some specific configuration parameters and temperatures, the system measured in terms of MI and EoP is entangled only in a certain intermediate range of z.

Funder

National Natural Science Foundation of China

Fok Ying Tung Education Foundation

Postgraduate Research & Practice Innovation Program of Jiangsu Province

Publisher

IOP Publishing

Subject

Astronomy and Astrophysics,Instrumentation,Nuclear and High Energy Physics

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