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arXiv · 2311.13790

Lee-Yang Zeros of a Bosonic system associated with a single trapped ion

Wenjie Shao·Yulian Chen·Ren-bao Liu·Yiheng Lin
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Abstract

Zeros of partition functions, in particular Lee-Yang zeros, in a complex plane provide important information for understanding phase transitions. A recent discovery on the equivalence between the coherence of a central quantum system and the partition function of the environment in the complex plane enabled the experimental study of Lee-Yang zeros, with several pioneering experiments on spin systems. Lee-Yang zeros have not been observed in Bosonic systems. Here we propose an experimental scheme to demonstrate Lee-Yang zeros in Bosonic systems associated with a single trapped ion by introducing strong coupling between the spin and motion degrees of freedom, i.e. beyond the weak coupling Lamb-Dicke regime. Our scheme provides new possibilities for quantum simulation of the thermodynamics of Bosonic systems in the complex plane.

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Wenjie Shao, Yulian Chen, Ren-bao Liu, Yiheng Lin. 2023-11-23. Lee-Yang Zeros of a Bosonic system associated with a single trapped ion. https://arxiv.org/abs/2311.13790

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