论文标题
量子多体引导
Quantum Many-body Bootstrap
论文作者
论文摘要
提出了一种数值引导方法，以在具有区域性的一般量子多体系统中提供严格且非平凡的界限。特别是，通过对某些操作员的期望值施加积极限制来获得局部晶格系统基态能量的下限。与变异上限相辅相成，基态可观察物被约束在狭窄范围内。该方法用一个和二维的哈伯德模型证明了该方法，并讨论了基态双重占用和磁化的边界。
A numerical bootstrap method is proposed to provide rigorous and nontrivial bounds in general quantum many-body systems with locality. In particular, lower bounds on ground state energies of local lattice systems are obtained by imposing positivity constraints on certain operator expectation values. Complemented with variational upper bounds, ground state observables are constrained to be within a narrow range. The method is demonstrated with the Hubbard model in one and two dimensions, and bounds on ground state double occupancy and magnetization are discussed.
