Czech Bartłomiej, Lamprou Lampros, McCandlish Samuel, Sully James
Institute for Advanced Study, Princeton, New Jersey 08540, USA.
Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Phys Rev Lett. 2018 Mar 2;120(9):091601. doi: 10.1103/PhysRevLett.120.091601.
The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region that supplies the modular Hamiltonian. In the vacuum of a 2D conformal field theory, global conformal symmetry singles out a unique modular Berry connection, which we compute directly and in the dual three-dimensional anti-de Sitter (AdS_{3}) picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS_{3}, reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations.
贝里联络描述了由绝热变化的哈密顿量所诱导的变换。我们研究了模块化哈密顿量的零模是如何受到提供模块化哈密顿量的区域变化的影响。在二维共形场论的真空中，全局共形对称性挑选出一个独特的模块化贝里联络，我们直接在对偶的三维反德西特（AdS₃）图景中进行了计算。在某些情况下，模块化贝里联络的威尔逊圈计算 AdS₃ 中曲线的长度，从而重现了微分熵公式。模块化贝里变换可以由以不同加速度运动的体观察者来测量。
