论文标题
与3D黑洞模拟器的广告/CFT对应关系
AdS/CFT Correspondence with a 3D Black Hole Simulator
论文作者
论文摘要
AD/CFT对应关系的关键应用之一是它在反DE保姆（ADS）黑洞的纠缠熵与较低维度的保形场理论（CFTS）之间指示的二元性。在这里，我们采用了一个带有不均匀隧道耦合的费米子的平方晶格，这些耦合模拟了旋转对称的3D黑洞对狄拉克场的效果。当应用于3D BTZ黑洞时，我们确定了参数状态，理论上预测的2D CFT忠实地描述了黑洞纠缠熵。在通用模拟器的帮助下，我们进一步证明了一个大型3D黑洞的家庭表现出与BTZ黑洞相同的基态纠缠熵行为。我们的模拟器的简单性可以直接对各种3D黑洞进行直接数字研究，并有可能通过光学晶格技术实验实现它。
One of the key applications of AdS/CFT correspondence is the duality it dictates between the entanglement entropy of Anti-de Sitter (AdS) black holes and lower-dimensional conformal field theories (CFTs). Here we employ a square lattice of fermions with inhomogeneous tunneling couplings that simulate the effect rotationally symmetric 3D black holes have on Dirac fields. When applied to 3D BTZ black holes we identify the parametric regime where the theoretically predicted 2D CFT faithfully describes the black hole entanglement entropy. With the help of the universal simulator we further demonstrate that a large family of 3D black holes exhibit the same ground state entanglement entropy behavior as the BTZ black hole. The simplicity of our simulator enables direct numerical investigation of a wide variety of 3D black holes and the possibility to experimentally realize it with optical lattice technology.
