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

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,...

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Bibliographic Details
Published in:Europhysics letters 2019-01, Vol.125 (1), p.10004
Main Authors: Kuzmak, A. R., Tkachuk, V. M.
Format: Article
Language:English
Subjects:
02.20.Uw
03.65.Yz
05.30.-d
Ising model
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Summary: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.
ISSN:0295-5075
1286-4854
1286-4854
DOI:10.1209/0295-5075/125/10004