基于块熵面积的费米子非局域模式优化与梯度解纠缠器
Block entropy area based non-local fermionic mode optimization with gradient disentanglers
- Wigner Research Centre for Physics（维格纳物理研究中心）
- Technical University of Munich（慕尼黑工业大学）
- Parmenides Stiftung（帕门德斯基金会）
- Dynaflex LTD（Dynaflex有限公司）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
提出基于块熵面积的梯度解纠缠器模式优化算法，结合密度矩阵重整化群，为相互作用费米子矩阵乘积态提供高效低秩基态求解，并在二维晶格和Fe4S4团簇上验证其优越性。
AI中文摘要：
我们提出了一种系统的基于块熵面积的模式优化算法，用于由矩阵乘积态表示的相互作用费米子的多体量子态。从全局代价函数的梯度出发，构造了一个长程、无相互作用的有效解纠缠哈密顿量，即块熵面积。随后，我们通过采用基于投影分裂的时间相关变分原理，模拟由解纠缠哈密顿量驱动的含时薛定谔方程，并最小化代价函数。将密度矩阵重整化群与这种基于梯度的纠缠最小化相结合，形成了一种高效的低秩迭代基态算法，同时也为矩阵乘积态表示提供了优化的单粒子基。我们在相互作用的费米子二维晶格模型和Fe${_4}$S${_4}$团簇上演示了该方法，并展示了其相对于早期使用最近邻模式旋转和重排协议的鲁棒性和优越性。
英文摘要：
We introduce a systematic block entropy area based mode optimization algorithm for many-body quantum states of interacting fermions represented by matrix product states. From the gradient of a global cost function, the block entropy area, a long-ranged, non-interacting effective disentangler Hamiltonian is formed. We then simulate the time-dependent Schrödinger equation driven by the disentangler Hamiltonian by employing the time-dependent variational principle based on projector splitting, and minimize the cost function. The combination of the density matrix renormalization group with this gradient-based entanglement minimization forms an efficient low-rank iterative ground-state algorithm that also provides an optimized single-particle basis for matrix product state representation. We demonstrate the method on two-dimensional lattice models of interacting fermions and the Fe${_4}$S${_4}$ cluster, and show its robustness and superiority over earlier protocols using nearest-neighbor mode rotations and reorderings.
