Topological phases of quantized light

作     者：Han Cai Da-Wei Wang Han Cai;Da-Wei Wang

作者机构：Interdisciplinary Center for Quantum Information and State Key Laboratory of Modern Optical InstrumentationZhejiang Province Key Laboratory of Quantum Technology and Device and Department of Physics Zhejiang University CAS Center for Excellence in Topological Quantum Computation University of Chinese Academy of Sciences 

出 版 物：《National Science Review》 (国家科学评论(英文版))

年 卷 期：2021年第8卷第1期

页      面：69-80页

核心收录：

学科分类：070207[理学-光学] 07[理学] 08[工学] 0803[工学-光学工程] 0702[理学-物理学] 

基　　金：supported by the National Key Research and Development Program of China (2019YFA0308100 and2018YFA0307200) the National Natural Science Foundation of China (11934011 and 11874322) the Strategic Priority Research Program of Chinese Academy of Sciences (XDB28000000) the Fundamental Research Funds for the Central Universities supported by the China Postdoctoral Science Foundation(2019M650134) 

主　　题：topological phases Su-Schriefer-Heeger model Jaynes-Cummings model strain-induced magnetic field Haldane model 

摘      要：Topological photonics is an emerging research area that focuses on the topological states of classical *** we reveal the topological phases that are intrinsic to the quantum nature of light, i.e. solely related to the quantized Fock states and the inhomogeneous coupling strengths between them. The Hamiltonian of two cavities coupled with a two-level atom is an intrinsic one-dimensional Su-Schriefer-Heeger model of Fock states. By adding another cavity, the Fock-state lattice is extended to two dimensions with a honeycomb structure, where the strain due to the inhomogeneous coupling strengths of the annihilation operator induces a Lifshitz topological phase transition between a semimetal and three band insulators within the lattice. In the semimetallic phase, the strain is equivalent to a pseudomagnetic field, which results in the quantization of the Landau levels and the valley Hall effect. We further construct an inhomogeneous Fock-state Haldane model where the topological phases can be characterized by the topological *** d cavities being coupled to the atom, the lattice is extended to d-1 dimensions without an upper limit. In this study we demonstrate a fundamental distinction between the topological phases in quantum and classical optics and provide a novel platform for studying topological physics in dimensions higher than three.