Study of two-dimensional quantum many-body systems by an advanced algorithm of the density-matrix renormalization group method

研究了实现低维受挫量子多体系统高精度计算的数值方法。我们特别关注纠缠，它是量子态复杂性的一个指标，并支配着量子系统数值方法的效率。我们表明纠缠的尺度特性和空间轮廓可以通过对模型哈密顿量施加能量尺度变形来控制。还预测了低维受挫自旋系统中新量子相的出现。

We study numerical methods to realize high-precision calculations of low-dimensional frustrated quantum many-body systems. We particularly focus on entanglement, which is an indicator of complexity of quantum states and governs the efficiency of the numerical approaches to quantum systems. We show that scaling properties and spatial profiles of entanglement can be controlled by applying an energy-scale deformation to the model Hamiltonian. Appearance of novel quantum phases in low-dimensional frustrated spin systems is also predicted.