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

利用密度矩阵重整化群法的先进算法研究二维量子多体系统

• 批准号: 21740277
• 负责人: HIKIHARA Toshiya
• 金额: $ 2.91万
• 依托单位: Gunma University (2011)Hokkaido University (2009-2010)
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Young Scientists (B)
• 财政年份: 2009
• 资助国家: 日本
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21740277/
• 关键词: 密度行列繰り込み群法; 量子スピン系; 強相関電子系; フラストレーション; 数値計算手法; エンタングルメント; MERA法; 量子多体系; エンタングルメント繰り込み

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.

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。

项目成果

NMR relaxation rate in the field-induced octupolar liquid phase of spin-1/2 J1-J2 frustrated chains

自旋 1/2 J1-J2 受挫链场诱导八极液相中的 NMR 弛豫率

• DOI: 10.1088/1742-6596/320/1/012014
• 发表时间: 2011
• 期刊: Journal of Physics : Conference Series
• 作者: M.Sato;T.Hikihara;T.Momoi
• 通讯作者: T.Momoi