AI 中文总结
本文利用Clifford增强矩阵乘积态（CAMPS）框架，研究二维Z₂-希格斯规范理论的通量管动力学，验证了有效弦理论对非平衡弦动力学的适用性，发现强禁闭通量管存在长寿命预热 regime。
AI 中文摘要
理解一维以上空间维度中的实时通量管动力学，是解锁禁闭非微扰物理的关键，目前正受到量子计算与模拟实验的积极探索。然而，描述这类动力学被证明极具挑战性，现有实验与最先进的数值模拟都局限于小体积和短时间尺度。在此，我们研究真实二维Z₂-希格斯规范理论中的通量管静态性质与实时演化，系统尺寸与时间尺度远超当前实验和数值模拟的量级。关键的支撑要素是近期提出的Clifford增强矩阵乘积态（CAMPS）框架，我们证明该框架可参数化减少矩阵乘积态中需表示的纠缠，无论是纯规范极限还是存在动力学物质的情况。我们通过有效弦理论的严格测试来验证这一能力，包括存在物质时的普适谱特征与通量管粗糙化性质。随后，我们引入弦操控协议，该协议可选择性激发横模并实时重建其有限尺寸谱。在粗糙 regime 中，响应是集体性的，我们的模拟表明这也能被普适有效弦理论预测很好地捕捉。而强禁闭则产生长寿命、被晶格锁定的局域动力学，持续时间tJ≳100。这些结果提供了从头算证据，证明有效弦理论可捕捉非平衡弦动力学，并揭示了强禁闭通量管此前未被探索的长寿命预热 regime，为禁闭如何决定一维以上空间维度的动力学提供了新视角。
英文摘要
Understanding real-time flux-tube dynamics in more than one spatial dimension is key to unlocking the non-perturbative physics of confinement, and is now actively pursued by quantum computing and simulation experiments. However, describing such dynamics has proven to be extremely challenging with both experiments and state-of-the-art numerical simulations limited to small volumes and short timescales. Here we investigate flux tube statics and real-time evolution in a genuine two-dimensional $\mathbb{Z}_2$ Higgs gauge theory at system sizes and timescales order of magnitude beyond present experiments and numerics. The key enabling element is the recently introduced Clifford-augmented matrix product states (CAMPS) framework, which we demonstrate to parametrically reduce the entanglement that must be represented in the matrix product state; both in the pure-gauge limit and in the presence of dynamical matter. We benchmark this capability through stringent tests of effective string theory, including universal spectral features and flux tube roughening properties in presence of matter. We then introduce a string-pull protocol that selectively excites transverse modes and reconstructs their finite-size spectrum in real time. In the rough regime, the response is collective, and our simulations show that this is also well captured by universal effective string theory predictions. Strong confinement instead produces long-lived, lattice-locked local dynamics persisting to times $tJ \gtrsim 100$. These results provide ab initio evidence that effective string theory captures nonequilibrium string dynamics and reveal a hitherto unexplored long-lived prethermal regime of strongly confined flux tubes, providing a novel angle on how confinement dictates dynamics in more than one spatial dimension.
CommentsComments are welcome. 28 pages and 17 figures
