论文标题
使用量子退火模拟Shastry-Sutherland Ising模型
Simulating the Shastry-Sutherland Ising Model using Quantum Annealing
论文作者
论文摘要
当无法同时满足微观哈密顿量的约束时,挫败感代表了磁性材料行为的重要特征。这引起了物质的外来阶段,包括自旋液体,自旋冰和条纹相。在这里,我们通过计算使用量子退火器来理解468-Spin Shastry-Sutherland Ising Hamiltonian的阶段来理解挫败感的显微镜作用的方法。我们的方法使用平均场边界条件来减轻有限尺寸的影响,并与迭代量子退火方案一起模拟统计物理学。我们恢复了Shastry-Sutherland Ising模型的所有阶段(包括众所周知的分数磁化高原)以及表征这些过渡时临界行为的静态结构因子。这些结果将量子退火作为一种新兴方法,用于理解挫败感对物质新阶段的影响,并为将来与实际实验进行比较铺平道路。
Frustration represents an essential feature in the behavior of magnetic materials when constraints on the microscopic Hamiltonian cannot be satisfied simultaneously. This gives rise to exotic phases of matter including spin liquids, spin ices, and stripe phases. Here we demonstrate an approach to understanding the microscopic effects of frustration by computing the phases of a 468-spin Shastry-Sutherland Ising Hamiltonian using a quantum annealer. Our approach uses mean-field boundary conditions to mitigate effects of finite size and defects alongside an iterative quantum annealing protocol to simulate statistical physics. We recover all phases of the Shastry-Sutherland Ising model -- including the well-known fractional magnetization plateau -- and the static structure factor characterizing the critical behavior at these transitions. These results establish quantum annealing as an emerging method in understanding the effects of frustration on the emergence of novel phases of matter and pave the way for future comparisons with real experiments.