Lee–Yang zeros in the Rydberg atoms  

作　　者：Chengshu Li Fan Yang 

机构地区：[1]Institute for Advanced Study,Tsinghua University,Beijing 100084,China

出　　处：《Frontiers of physics》2023年第2期197-204,共8页物理学前沿（英文版）

摘　　要：Lee–Yang (LY) zeros play a fundamental role in the formulation of statistical physics in terms of (grand) partition functions, and assume theoretical significance for the phenomenon of phase transitions. In this paper, motivated by recent progress in cold Rydberg atom experiments, we explore the LY zeros in classical Rydberg blockade models. We find that the distribution of zeros of partition functions for these models in one dimension (1d) can be obtained analytically. We prove that all the LY zeros are real and negative for such models with arbitrary blockade radii. Therefore, no phase transitions happen in 1d classical Rydberg chains. We investigate how the zeros redistribute as one interpolates between different blockade radii. We also discuss possible experimental measurements of these zeros.

关 键 词：Lee-Yang zeros Rydberg atom statistical mechanics 

分 类 号：O17[理学—数学]