AI 中文总结
本文针对交错磁场中具有幂律相互作用的自旋-1/2 XY模型，结合线性自旋波理论与考虑强相位涨落的低能理论，解析计算了乘积态的淬火动力学，为短程相互作用下相位型关联动力学提供了解析表达，助力临界行为的实验观测。
AI 中文摘要
本文中，我们解析计算了在交错磁场中具有幂律相互作用的自旋-1/2 XY模型下演化的简单乘积态的淬火动力学。我们使用线性自旋波理论以及考虑强相位涨落的低能理论，这使我们能够给出短程相互作用下相位型关联动力学的解析表达式，而线性自旋波理论在该情形下已知会失效。对于密度型关联，低能理论与线性自旋波理论给出相同结果。我们的分析对任意磁场强度均有效，尤其为临界点附近的淬火动力学提供了解析理解。因此，我们的结果可为激发能隙与临界行为的实验观测提供有用工具。
英文摘要
In this paper, we analytically compute the quench dynamics of simple product states that evolve under a spin-1/2 XY-model with power-law interactions in a staggered magnetic field. We use linear spin-wave theory as well as a low-energy theory that accounts for strong phase fluctuations. This allows us to provide an analytic expression for the dynamics of phase-type correlations with short-range interactions, where the linear spin-wave theory is known to fail. For density-type correlations the low-energy theory and the linear spin-wave theory give the same result. Our analysis is valid for arbitrary magnetic field strength and in particular provides an analytical understanding of the quench dynamics near criticality. Our results can thus provide useful tools for the experimental observation of excitation gaps and critical behavior.
Comments9 pages, 4 figures
