Abstract
Lee-Yang theory clearly demonstrates where the phase transition of many-body systems occurs and the asymptotic behavior near the phase transition using the partition function under complex parameters.The complex parameters make the direct investigation of Lee-Yang theory in practical systems challenging.Here we construct a non-Hermitian quantum system that can correspond to the one-dimensional Ising model with imaginary parameters through the equality of partition functions.By adjusting the non-Hermitian parameter,we successfully obtain the partition function under different imaginary magnetic fields and observe the Lee-Yang zeros.We also observe the critical behavior of free energy in vicinity of Lee-Yang zero that is consistent with theoretical prediction.Our work provides a protocol to study Lee-Yang zeros of the one-dimensional Ising model using a single-qubit non-Hermitian system.
基金项目
国家重点研发计划(2021YFB3202800)
国家自然科学基金(12174373)
中国科学院项目(GJJSTD20200001)
Innovation Program for Quantum Science and Technology(2021ZD0302200)
Anhui Initiative in Quantum Information Technologies(AHY050000)
中国科学院青年创新促进会项目()
中央高校基本科研业务费专项()
Beijing University of Posts and Telecommunications Innovation Group()