Detecting the Lee-Yang zeros of a high-spin system by the evolution of probe spin

Abstract

Recently in the paper by Peng X. et al., Phys. Rev. Lett., 114 (2015) 010601, the experimental observation of the Lee-Yang zeros of an Ising-type spin-(1/2) bath, by measuring the coherence of a probe spin, was reported. We generalize this problem to the case of an arbitrary high-spin bath. Namely, we consider the evolution of a probe arbitrary spin which interacts with a bath composed by N arbitrary spins. As a result, the connection between the observed values of the probe spin, such as magnetization and susceptibility, and the Lee-Yang zeros is found. We apply these results to some models, namely, a triangle spin cluster, the Ising model with a long-range interaction and the 1D Ising model with nearest-neighbor interaction. Also we propose the implementation of these models on real physical systems.