远离平衡自旋系统中的量子关联和纠缠
Quantum correlations and entanglement in far-from-equilibrium spin systems
摘要：
利用互补的解析和数值方法，我们研究了任意维中具有变程相互作用的自旋- $1/2$ XXZ模型的动力学。我们考虑的动力学是从实验中容易制备的不相关态开始的，并且可以等效地被视为拉姆齐光谱或量子猝灭。我们的主要焦点是在这些远离平衡的相互作用量子系统中的关联和纠缠的动态出现：我们用纠缠熵，并发和压缩来表征这些关联，这是对应于不同量子资源的纠缠的不等价度量。在一维空间，我们表明，关联函数的时间演化表现出非微扰动力学奇异性。这种奇异性的特点是一个普遍的幂律指数，是不敏感的小扰动。明确实现这些模型在当前的实验中使用极性分子，囚禁离子，里德伯原子，磁性原子，碱土金属和碱金属原子在光晶格，以及这些不同的系统的相对优点和局限性，进行了讨论。
英文摘要：
By applying complementary analytic and numerical methods, we investigate the dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary dimensions. The dynamics we consider is initiated from uncorrelated states that are easily prepared in experiments, and can be equivalently viewed as either Ramsey spectroscopy or a quantum quench. Our primary focus is the dynamical emergence of correlations and entanglement in these far-from-equilibrium interacting quantum systems: we characterize these correlations by the entanglement entropy, concurrence, and squeezing, which are inequivalent measures of entanglement corresponding to different quantum resources. In one spatial dimension, we show that the time evolution of correlation functions manifests a non-perturbative dynamic singularity. This singularity is characterized by a universal power-law exponent that is insensitive to small perturbations. Explicit realizations of these models in current experiments using polar molecules, trapped ions, Rydberg atoms, magnetic atoms, and alkaline-earth and alkali atoms in optical lattices, along with the relative merits and limitations of these different systems, are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
