重六角晶格上横场伊辛模型中的禁闭现象
Confinement in the Transverse Field Ising model on the Heavy Hex lattice
AI总结：
本研究针对重六角晶格横场伊辛模型的禁闭现象，通过张量网络数值模拟与最小模型构建，揭示了非热行为与热化的不同机制，为大规模量子计算的可模拟性提供了物理解释。
摘要：
我们研究了修饰六角晶格上横场伊辛模型中禁闭现象的产生机制。借助经信念传播优化的无限张量网络态，我们证明从对称性破缺态出发的量子淬火会引发显著的非热行为，其背后是纠缠熵的持续振荡与饱和特性。我们通过构建一个基于元激发禁闭的最小模型解释了该现象：由于晶格的独特结构，这些元激发表现为多种类型的强子准粒子。我们的模型与数值结果高度吻合。对于淬火至更大横场值和/或从非对称性破缺态出发的情况，我们的数值结果呈现出预期的热化特征：纠缠熵随时间线性增长、关联传播以及可观测量饱和至其热平均值。这些结果为近期一项大规模量子计算出人意料的可模拟性提供了物理解释。
英文摘要：
We study the emergence of confinement in the transverse field Ising model on a decorated hexagonal lattice. Using an infinite tensor network state optimised with belief propagation we show how a quench from a broken symmetry state leads to striking nonthermal behaviour underpinned by persistent oscillations and saturation of the entanglement entropy. We explain this phenomenon by constructing a minimal model based on the confinement of elementary excitations, which take the form of various flavors of hadronic quasiparticles due to the unique structure of the lattice. Our model is in excellent agreement with our numerical results. For quenches to larger values of the transverse field and/or from non-symmetry broken states, our numerical results displays the expected signatures of thermalisation: a linear growth of entanglement entropy in time, propagation of correlations and the saturation of observables to their thermal averages. These results provide a physical explanation for the unexpected simulability of a recent large scale quantum computation.
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