基于代数几何的精确猝灭动力学
Exact Quench Dynamics from Algebraic Geometry
摘要：
我们发展了一个系统的方法来计算有限长可积自旋链的物理可观量。我们的方法是基于可积自旋链和计算代数几何的Bethe anonymous解决方案。最后的结果是解析的，不再依赖于贝特根。计算是纯代数的，不依赖于进一步的假设或数值。这种方法可以用来计算可积量子自旋链中的一系列物理量。我们证明了该方法的力量，通过计算两个重要的数量在淬火动力学：对角熵和Loschirk回声，并获得新的分析结果。
英文摘要：
We develop a systematic approach to compute physical observables of integrable spin chains with finite length. Our method is based on Bethe ansatz solution of the integrable spin chain and computational algebraic geometry. The final results are analytic and no longer depend on Bethe roots. The computation is purely algebraic and does not rely on further assumptions or numerics. This method can be applied to compute a broad family of physical quantities in integrable quantum spin chains. We demonstrate the power of the method by computing two important quantities in quench dynamics: the diagonal entropy and the Loschmidt echo and obtain new analytic results.
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