We introduce the (logarithmic) bipartite fidelity of a quantum system $A\cup B$ as the (logarithm of the) overlap between its ground-state wave function and the ground-state one would obtain if the interactions between two complementary subsystems $A$ and $B$ were switched off. We argue that it should typically satisfy an area law in dimension $d>1$. In the case of one-dimensional quantum critical points (QCP) we find that it admits a universal scaling form $\sim \ln \ell$, where $\ell$ is the typical size of the smaller subsystem. The prefactor is proportional to the central charge $c$ and depends on the geometry. We also argue that this quantity can be useful to locate quantum phase transitions, allows for a reliable determination of the central charge, and in general exhibits various properties that are similar to the entanglement entropy. Like the entanglement entropy, it contains subleading universal terms in the case of a 2D conformal QCP.
Bipartite entanglement and surface criticality: The extra contribution of non-ordinary edge in entanglement
Fudan University(复旦大学);Westlake University(西湖大学);Westlake Institute for Advanced Study(西湖高等研究院);Beihang University(北京航空航天大学);Tianmushan Laboratory(天目山实验室)
Unconventional Quantum Criticality in Long-Range Spin-1 Chains: Insights from Entanglement Entropy and Bipartite Fluctuations
The University of Hong Kong(香港大学);HK Institute of Quantum Science & Technology, The University of Hong Kong(香港大学量子科学与技术研究院);State Key Laboratory of Optical Quantum Materials, The University of Hong Kong(香港大学光学量子材料国家重点实验室);The Chinese University of Hong Kong(香港中文大学);Univ Toulouse, CNRS, LPT, Toulouse, France(法国图卢兹大学CNRS理论物理实验室)
Fidelity zeros and Lee-Yang theory of quantum phase transitions
College of Physics, Nanjing University of Aeronautics and Astronautics(南京航空航天大学物理学院);Key Laboratory of Aerospace Information Materials and Physics (NUAA), MIIT(工业和信息化部航空航天信息材料与物理重点实验室)
Finite-temperature quantum Monte Carlo study of Dirac quantum criticality: Algorithmic advances and comprehensive analysis
Institute of Modern Physics, Northwest University(西北大学现代物理研究所);Hefei National Laboratory(合肥国家实验室);School of Physics, Northwest University(西北大学物理学院);Shaanxi Key Laboratory for Theoretical Physics Frontiers(陕西理论物理前沿重点实验室);Fundamental Discipline Research Center for Quantum Science and Technology of Shaanxi Province(陕西省量子科学与技术基础学科研究中心)
Hyperscaling of Fidelity and Operator Estimations in the Critical Manifold
Institute for Theoretical Solid State Physics, IFW Dresden(德累斯顿亥姆霍兹中心IFW理论固态物理研究所);Institute for Theoretical Physics and Würzburg-Dresden Cluster of Excellence ct.qmat, TU Dresden(德累斯顿工业大学理论物理研究所与维尔茨堡-德累斯顿卓越集群ct.qmat)