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 un...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.展开更多
基金Supported by the Natural Science Foundation of China(11775036,11905083,11847055,11705161)Fok Ying Tung Education Foundation(171006)+1 种基金Guoyang Fu is supported by the Postgraduate Research&Practice Innovation Program of Jiangsu Province(KYCX20_2973)Top Talent Support Program from Yangzhou University。
文摘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.
