The Lee-Yang zeros are one-to-one mapped to zeros in the coherence of a probe spin coupled to a many-body system. Here, we propose two different types of Lee-Yang dephasing channels, where the partition functions vanish at Lee-Yang zeros, and study the spin squeezing under them. Under the first type of channels where probes are coupled to their own bath, we find that the performance of spin squeezing is improved and its maximum only depends on the initial state. Moreover, the centers of all the concurrence vanishing domains are corresponding to the Lee-Yang zeros. Under the second type of the channel where probes are coupled to one bath together, the performance of spin squeezing is not improved, however, the concurrence shares almost the same properties under both channels. These results provide experimental possibilities in many-body physics and give an alternative perspective on the relationship between the entanglement and spin squeezing in probes-bath systems.

中文翻译：

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李阳相移通道下的自旋压缩和并发

Lee-Yang零在耦合到多体系统的探针自旋的相干中是一对一映射到零的。在这里，我们提出两种不同类型的Lee-Yang相移通道，其中分隔函数在Lee-Yang零位置消失，并研究在其下的自旋压缩。在第一种将探头耦合到其自身浴槽的通道下，我们发现自旋挤压的性能得到了改善，其最大值仅取决于初始状态。此外，所有并发消失域的中心都对应于Lee-Yang零。在第二种类型的通道中，将探针耦合到一个槽中，旋转压缩的性能没有提高，但是，并发在两个通道下共享几乎相同的属性。