Entanglement entropy, quantum fluctuations, and thermal entropy in topological phases

Journal of High Energy Physics

Yidun Wan¹  Yuting Hu² 

[1] 0000 0001 0125 2443, grid.8547.e, State Key Laboratory of Surface Physics, Fudan University, 200433, Shanghai, China;0000 0001 0125 2443, grid.8547.e, Department of Physics, Center for Field Theory and Particle Physics, and Institute for Nanoelectronic devices and Quantum computing, Fudan University, 200433, Shanghai, China;Center for Quantum Computing, Peng Cheng Laboratory, 518055, Shenzhen, China;Department of Physics and Institute for Quantum Science and Engineering, Southern University of Science and Technology, 518055, Shenzhen, China;0000 0001 2314 964X, grid.41156.37, Collaborative Innovation Center of Advanced Microstructures, 210093, Nanjing, China;Department of Physics and Institute for Quantum Science and Engineering, Southern University of Science and Technology, 518055, Shenzhen, China;0000 0001 0125 2443, grid.8547.e, State Key Laboratory of Surface Physics, Fudan University, 200433, Shanghai, China;Center for Quantum Computing, Peng Cheng Laboratory, 518055, Shenzhen, China;

关键词: Topological States of Matter;    Anyons;    Topological Field Theories;   

DOI  :  10.1007/JHEP05(2019)110

来源: publisher

【 摘 要 】

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective — the perspective of quasiparticle fluctuations. In this picture, the entanglement spectrum of a topologically ordered system encodes the quasiparticle fluctuations of the system, and the entanglement entropy measures the maximal quasiparticle fluctuations on the EB. As a consequence, entanglement entropy corresponds to the thermal entropy of the quasiparticles at infinite temperature on the entanglement boundary. We corroborates our results with explicit computation in the quantum double model with/without boundaries. We then systematically construct the reduced density matrices of the quantum double model on generic 2-surfaces with boundaries.

【 授权许可】

Unknown