Designing non-Hermitian real spectra through electrostatics

作     者：Russell Yang Jun Wei Tan Tommy Tai Jin Ming Koh Linhu Lie Stefano Longhi Ching Hua Lee Russell Yang;Jun Wei Tan;Tommy Tai;Jin Ming Koh;李林虎;Stefano Longhi;Ching Hua Lee

作者机构：Department of PhysicsNational University of SingaporeSingapore 117551Singapore Clarendon LaboratoryUniversity of OxfordOxford OX13PUUK Cavendish LaboratoryUniversity of CambridgeCambridge CB30HEUK Division of PhysicsMathematics and AstronomyCaltechPasadenaCA 91125USA Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing&School of Physics and AstronomySun Yat-Sen University(Zhuhai Campus)Zhuhai 519082China Dipartimento di FisicaPolitecnico di MilanoPiazza Leonardo da Vinci 32I-20133 MilanItaly IFISC(UIB-CSIC)Instituto de Fisica Interdisciplinary Sistemas ComplejosPalma de Mallorca E-07122Spain 

出 版 物：《Science Bulletin》 (科学通报（英文版）)

年 卷 期：2022年第67卷第18期

页      面：1865-1873,M0004页

核心收录：

学科分类：0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

基　　金：supported by Singapore’s MOE Tier I grant WBS No.A-800022-00-00 

主　　题：Non-Hermitian Electrostatics Bulk-boundary correspondence Band structure engineering Real spectrum Non-Hermitian skin effect 

摘      要：Non-hermiticity presents a vast newly opened territory that harbors new physics and applications such as lasing and ***,only non-Hermitian systems with real eigenenergies are stable,and great efforts have been devoted in designing them through enforcing parity-time(PT)*** this work,we exploit a lesser-known dynamical mechanism for enforcing real-spectra,and develop a comprehensive and versatile approach for designing new classes of parent Hamiltonians with real *** design approach is based on a new electrostatics analogy for modifed non-Hermitian bulk-boundary correspondence,where electrostatic charge corresponds to density of states and electric felds correspond to complex spectral *** such,Hamiltonians of any desired spectra and state localization profle can be reverse-engineered,particularly those without any guiding symmetry *** recasting the diagonalization of non-Hermitian Hamiltonians as a Poisson boundary value problem,our electrostatics analogy also transcends the gain/loss-induced compounding of foating-point errors in traditional numerical methods,thereby allowing access to far larger system sizes.