论文标题
关键共鸣键旋转液体的实时动力学
Real-time dynamics of a critical Resonating Valence Bond spin liquid
论文作者
论文摘要
在冷rydberg-rotom模拟器中实施铁杆二聚体希尔伯特空间，为调查汉密尔顿淬火下的二聚体液体的实时动力学开辟了新的途径。在这里，我们考虑了平方晶格上的初始共振价键（RVB）状态，该状态实现了具有代数和偶极相关的临界库仑相。使用其表示形式作为SU（$ 2 $）的广泛流形的特殊点 - 对称，不变的，预测的纠缠对面状态（PEPS），我们在打开现场Heisenberg互动时计算其非平衡动力学。我们表明，将时间进化投射到PEPS歧管上，在较小的时间尺度上保持准确。我们还发现，国家在以U（$ 1 $）量规对称为特征的PEPS子模型中进化，这表明库仑阶段在这种统一进化下是稳定的。
Implementation of the hardcore-dimer Hilbert space in cold Rydberg-atom simulators opens a new route of investigating real-time dynamics of dimer liquids under Hamiltonian quench. Here, we consider an initial Resonating Valence Bond (RVB) state on the square lattice realizing a critical Coulomb phase with algebraic and dipolar correlations. Using its representation as a special point of a broad manifold of SU($2$)-symmetric, translationnally invariant, Projected Entangled Pair States (PEPS), we compute its non-equilibrium dynamics upon turning on inter-site Heisenberg interactions. We show that projecting the time-evolution onto the PEPS manifold remains accurate at small time scales. We also find that the state evolves within a PEPS sub-manifold characterized by a U($1$) gauge symmetry, suggesting that the Coulomb phase is stable under such unitary evolution.
