Biorthogonal quantum criticality in non-Hermitian many-body systems  

作　　者：Gaoyong Sun Jia-Chen Tang Su-Peng Kou 

机构地区：[1]College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China [2]Key Laboratory of Aerospace Information Materials and Physics(Nanjing University of Aeronautics and Astronautics),MIIT,Nanjing 211106,China [3]Center for Advanced Quantum Studies,Department of Physics,Beijing Normal University,Beijing 100875,China

出　　处：《Frontiers of physics》2022年第3期53-61,共9页物理学前沿（英文版）

基　　金：G.S.is appreciative of support from the NSFC under the Grant Nos.11704186 and 11874220;S.P.K is appreciative of support by the National Natural Science Foundation of China under Grant Nos.11674026,11974053,and 12174030.

摘　　要：We develop the perturbation theory of the fidelity susceptibility in biorthogonal bases for arbitrary interacting non-Hermitian many-body systems with real eigenvalues. The quantum criticality in the non-Hermitian transverse field Ising chain is investigated by the second derivative of the ground-state energy and the ground-state fidelity susceptibility. We show that the system undergoes a second-order phase transition with the Ising universal class by numerically computing the critical points and the critical exponents from the finite-size scaling theory. Interestingly, our results indicate that the biorthogonal quantum phase transitions are described by the biorthogonal fidelity susceptibility instead of the conventional fidelity susceptibility.

关 键 词：biorthogonal quantum criticality non-Hermitian systems fidelity susceptibility 

分 类 号：O41[理学—理论物理]