论文标题
拓扑相变和$ Z_2 $旋转液体的单/多动力学动力
Topological phase transition and single/multi anyon dynamics of $Z_2$ spin liquid
论文作者
论文摘要
在容纳Anyon激发和拓扑秩序的量子多体模型中，量子二聚体模型（QDM）为研究单个环和多种频谱之间的关系提供了独特的游乐场。但是，由于与局部约束的典型相关系统，由于缺乏受控的方法，在不同晶格几何和参数状态下QDM的通用解决方案仍然缺失。在这里，我们通过新开发的清扫量量子蒙特卡洛算法获得了三角晶格QDM不同阶段的激发光谱。我们的结果揭示了$ Z_2 $量子旋转液体（QSL）内部的单一Vison激发及其对$ \ sqrt {12} \ times \ sqrt {12} $ Valence Bond solid（VBS）的凝结，并演示了翻译对称性分量化和出现的O（4）在QSL-transition中。我们发现单一的vison激发，其定性地卷积会重现二聚体光谱，不是自由的，而是整个过渡过程中的相互作用效应。 vbs及其O（4）阶参数的性质在完整范围内出土。我们的方法为QDM的静态和动态属性的通用解决方案开辟了道路，并与可编程量子模拟器中的分数激发相关。
Among the quantum many-body models that host anyon excitation and topological orders, quantum dimer models (QDM) provide a unique playground for studying the relation between single-anyon and multi-anyon continuum spectra. However, as the prototypical correlated system with local constraints, the generic solution of QDM at different lattice geometry and parameter regimes is still missing due to the lack of controlled methodologies. Here we obtain, via the newly developed sweeping cluster quantum Monte Carlo algorithm, the excitation spectra in different phases of the triangular lattice QDM. Our results reveal the single vison excitations inside the $Z_2$ quantum spin liquid (QSL) and its condensation towards the $\sqrt{12}\times\sqrt{12}$ valence bond solid (VBS), and demonstrate the translational symmetry fractionalization and emergent O(4) symmetry at the QSL-VBS transition. We find the single vison excitations, whose convolution qualitatively reproduces the dimer spectra, are not free but subject to interaction effects throughout the transition. The nature of the VBS with its O(4) order parameters are unearthed in full scope. Our approach opens the avenue for generic solution of the static and dynamic properties of QDMs and has relevance towards the realization and detection of fractional excitations in programmable quantum simulators.
