发表机构
The University of Melbourne; Data61, CSIRO; Monash University（墨尔本大学; CSIRO数据61; 莫纳什大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究利用Clifford增强张量网络模拟方法，发现AKLT模型基态与疤痕态具有高魔法性，并揭示其在Haldane相内淬火后弦序随双磁振子数增加而衰减，表明弦序对对称性保持淬火的敏感性。
AI 中文摘要
Clifford增强方法已成为一种强大的技术，通过利用系统中存在的稳定子结构来模拟量子电路和多体系统，同时还能方便地量化系统中存在的非稳定子性（即“魔法”）。在本工作中，我们利用一种qudit Clifford增强模拟方法来探测Affleck-Kennedy-Lieb-Tasaki（AKLT）模型中的魔法，发现其基态和疤痕态具有高度的魔法性，这通过其稳定子Rényi熵（SRE）得以量化。然而，由于其低纠缠结构，这些态仍然可以很容易地用低键维的Clifford增强矩阵乘积态表示，并且还可以使用Clifford增强含时变分原理（TDVP）算法进行时间演化。我们利用Clifford增强TDVP研究了AKLT模型疤痕态在Haldane相内淬火到反铁磁Heisenberg哈密顿量后的弦序动力学。我们观察到淬火后弦序发生衰减，且随着双磁振子数的增加，衰减更加显著。这一发现突显了AKLT疤痕态中弦序对保持对称性的淬火的敏感性，即使初始和最终哈密顿量属于同一拓扑相也是如此。
英文摘要
Clifford augmented methods have emerged as a powerful technique to simulate quantum circuits and many-body systems by exploiting the stabiliser structure found in said systems, whilst additionally enabling one to readily quantify the non-stabilizerness (i.e.\ magic) present. In this work, we utilise a qudit Clifford augmented simulation method to probe the presence of magic in the Affleck-Kennedy-Lieb-Tasaki (AKLT) model, finding that its ground state and scar states are highly magical as quantified by their Stabiliser Rényi Entropy (SRE). Nevertheless, owing to its low entanglement structure, these states are still readily expressible as a Clifford augmented Matrix Product State with low bond-dimension and moreover may be time-evolved using the Clifford augmented time-dependent variational principle (TDVP) algorithm. We utilise Clifford augmented TDVP to study the string order dynamics in the scar states of the AKLT model after a quench within the Haldane phase to the anti-ferromagnetic Heisenberg Hamiltonian. We observe that there is a decay of string order following the quench, which is more pronounced with increasing bimagnon number. This finding highlights the sensitivity of string order in the AKLT scar states to symmetry-preserving quenches, even when the initial and final Hamiltonians belong to the same topological phase.
Comments11+3 pages, 8 figures
