控制债券扩张密度矩阵重规范化集团地面状态搜索单站点成本
Andreas Gleis1, Jheng-Wei Li1, Jan von Delft1
1Arnold Sommerfeld Center for Theoretical Physics, Center for NanoScience, and Munich Center for Quantum Science and Technology, Ludwig-Maximilians-Universität München, 80333 Munich, Germany.
Physical review letters
|June 30, 2023
概括
我们为密度矩阵重规范化组 (DMRG) 计算开发了一种受控债券膨胀 (CBE) 算法. 这种方法以降低计算成本实现了高精度和融合,使得对复杂量子系统的新见解成为可能.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子多体系统是一个量子多体系统.
- 计算物理 计算物理
背景情况:
- 密度矩阵重规范化组 (DMRG) 是一种强大的算法,用于查找量子系统的基本状态.
- 对称性部门对于DMRG效率至关重要,但传统方法限制了虚拟债券空间的扩张.
- 一个站点的DMRG缺乏债券扩张,而两个站点的DMRG在计算上昂贵.
研究的目的:
- 为DMRG引入一种新的受控债券扩张 (CBE) 算法.
- 为了实现两个站点的DMRG的精度和融合,单站点的DMRG的计算成本.
- 使用新算法研究康多-海森伯格模型的相图.
主要方法:
- 开发了一个与DMRG (CBE-DMRG) 集成的受控债券扩张 (CBE) 算法.
- 央行算法通过包括相关对称部门来选择性地扩大虚拟债券空间.
- 该算法识别并纳入 orthogonal 空间的部分,在 H Ψ 中具有显著的重量.
主要成果:
- 每次扫描,CBE-DMRG以单个站点的计算成本实现了两站点的准确性和趋同.
- 该算法是完全可变的,不需要混合参数.
- 对Kondo-Heisenberg模型在宽度为4的气上的应用揭示了两个不同的相,其特点是不同的费米表面体积.
结论:
- CBE-DMRG提供了一种计算效率高,准确的方法来探索复杂的量子系统.
- 该算法克服了传统DMRG在虚拟债券空间扩张方面的局限性.
- 这些发现为康多-海森堡模型的相位过渡提供了新的见解.
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