论文标题
Rydberg原子中的Lee-Yang Zeros
Lee-Yang zeros in the Rydberg atoms
论文作者
论文摘要
Lee-Yang（Ly）零在（Grand）分区函数方面在统计物理的制定中起着基本作用，并且对相变现象具有理论意义。在本文中，以冷rydberg原子实验进展的最新进展，我们探索了古典Rydberg封锁模型中的LY零。我们发现，可以通过分析获得这些模型的分区函数零的分布。我们证明，对于具有任意封锁半径的此类模型，所有LY零是真实的和负面的。因此，在一维经典的瑞德伯格链中没有发生相变。我们研究了一个在不同的封锁半径之间插值的零重新分布。我们还讨论了这些零的可能的实验测量。
Lee-Yang (LY) zeros play a fundamental role in the formulation of statistical physics in terms of (grand) partition functions, and assume theoretical significance for the phenomenon of phase transitions. In this paper, motivated by recent progress in cold Rydberg atom experiments, we explore the LY zeros in classical Rydberg blockade models. We find that the distribution of zeros of partition functions for these models in one dimension (1d) can be obtained analytically. We prove that all the LY zeros are real and negative for such models with arbitrary blockade radii. Therefore, no phase transitions happen in 1d classical Rydberg chains. We investigate how the zeros redistribute as one interpolates between different blockade radii. We also discuss possible experimental measurements of these zeros.
