Entanglement in simple spin networks with a boundary

We investigate the bipartite entanglement for the boundary states in a simple type of spin networks with dangling edges, in which the two complementary parts are linked by two or more edges. Firstly, the spin entanglement is considered in the absence of the intertwiner entanglement. By virtue of numerical simulations, we find that the entanglement entropy usually depends on the group elements. More importantly, when the intertwiner entanglement is taken into account, we find that it is in general impossible to separate the total entanglement entropy into the contribution from spins on edges and the contribution from intertwiners at vertices. These situations are in contrast to the case when the two vertices are linked by a single edge.     

Entanglement entropy of an annulus in holographic thermalization

The thermalization process of the holographic entanglement entropy(HEE)of an annular domain is investigated in the Vaidya-AdS geometry.We determine numerically the Hubeny-Rangamani-Takayanagi(HRT)surface,which may be a hemi-torus or two disks,depending on the ratio of the inner radius to the outer radius of the annulus.More importantly,for some fixed ratio of the two radii,the annulus undergoes a phase transition,or a double phase transition,during thermalization from a hemi-torus to a two-disk configuration,or vice versa.The occurrence of various phase transitions is determined by the ratio of the two radii of the annulus.The rate of entanglement growth is also investigated during the thermal quench.The local maximal rate of entanglement growth occurs in the region with a double phase transition.Finally,if the quench process is sufficiently slow,which may be controlled by the thickness of the null shell,the region with a double phase transition vanishes.     

Holographic superconductor on a novel insulator

We construct a holographic superconductor model, based on a gravity theory, which exhibits novel metal-insulator transitions. We investigate the condition for the condensation of the scalar field over the parameter space, and then focus on the superconductivity over the insulating phase with a hard gap, which is supposed to be Mott-like. It turns out that the formation of the hard gap in the insulating phase benefits the superconductivity.This phenomenon is analogous to the fact that the pseudogap phase can promote the pre-pairing of electrons in high Tccuprates. We expect that this work can shed light on understanding the mechanism of high Tcsuperconductivity from the holographic side.     

Astrophysical observables for regular black holes with sub-Planckian curvature

We investigate the photon sphere and marginally stable circular orbit of massive particles over the recently proposed regular black holes with sub-Planckian curvature and a Minkowskian core.We derive the effective potential for geodesic orbits and determine the radius of circular photon orbits,with an analysis of the stability of these orbits.We extend our analysis to the background of a compact massive object(CMO) without a horizon,whose mass is below the lowest bound for the formation of a bla...     

量子引力研究进展简介

 广义相对论是描述时间、空间与引力的理论,既是对狭义相对论的重要推广,也是继牛顿万有引力定律之后发展起来的最重要的引力理论。