Non-Hermitian Ising model at finite temperature  

作　　者：Qian Du Kui Cao Su-Peng Kou 

机构地区：[1]Center for Advanced Quantum Studies,Department of Physics,Beijing Normal University,Beijing 100875,China

出　　处：《Communications in Theoretical Physics》2023年第4期123-130,共8页理论物理通讯（英文版）

基　　金：supported by NSFC Grant No.11974053,12174030。

摘　　要：As a very simple model,the Ising model plays an important role in statistical physics.In the paper,with the help of quantum Liouvillian statistical theory,we study the one-dimensional nonHermitian Ising model at finite temperature and give its analytical solutions.We find that the nonHermitian Ising model shows quite different properties from those of its Hermitian counterpart.For example,the‘pseudo-phase transition’is explored between the‘topological’phase and the‘nontopological’phase,at which the Liouvillian energy gap is closed rather than the usual energy gap.In particular,we point out that the one-dimensional non-Hermitian Ising model at finite temperature can be equivalent to an effective anisotropic XY model in the transverse field.This work will help people understand quantum statistical properties of non-Hermitian systems at finite temperatures.

关 键 词：non-Hermitian quantum system Ising model quantum statistical mechanics THERMODYNAMICS 

分 类 号：O414.2[理学—理论物理]