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

研究了实现低维受阻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，并控制着量子系统数值方法的效率。结果表明，通过对模型哈密顿量施加能量尺度形变，可以控制纠缠的标度性质和空间分布。预测了低维受阻自旋系统中新的量子相的出现。

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.