标题： 洛施密特回波，淬火到临界点后的对偶幺正性及广义时间熵的标度 显示英文标题

标题： Loschmidt echo, emerging dual unitarity and scaling of generalized temporal entropies after quenches to the critical point

摘要： 我们展示了如何通过共形场理论（CFT）预测在淬火到共形不变临界点后的乘积态的Loschmidt回波及其主要有限时间修正。我们通过张量网络验证了这些预测，结果非常吻合。因此，我们可以利用Loschmidt回波提取底层CFT的普遍信息，包括中心电荷、算符内容及其广义时间熵。我们还能够预测并确认在晚期时间演化的新兴双单位性，因为在这样的极限下，演化系统的空间转移矩阵算子变为单位的。我们对时间熵增长的结果也表明，使用最先进的张量网络算法，此类计算所需的资源仅随淬火持续时间多项式增长，从而提供了一个数值上高效可解的非平衡场景示例。 显示英文摘要

摘要： We show how the Loschmidt echo of a product state after a quench to a conformal invariant critical point and its leading finite time corrections can be predicted by using conformal field theories (CFT). We check such predictions with tensor networks, finding excellent agreement. As a result, we can use the Loschmidt echo to extract the universal information of the underlying CFT including the central charge, the operator content, and its generalized temporal entropies. We are also able to predict and confirm an emerging dual-unitarity of the evolution at late times, since the spatial transfer matrix operator that evolves the system in space becomes unitary in such limit. Our results on the growth of temporal entropies also imply that, using state-of-the art tensor networks algorithms, such calculations only require resources that increase polynomially with the duration of the quench, thus providing an example of numerically efficiently solvable out-of-equilibrium scenario.