量子多体引导
Quantum Many-body Bootstrap
摘要：
提出了一种数值引导方法，给出了具有局域性的一般量子多体系统的严格非平凡边界。特别地，通过对某些算子期望值施加正性约束，得到了局域格点系统基态能量的下界。在变分上界的辅助下，将基态观测量限制在一个很窄的范围内。用一维和二维的哈伯德模型证明了该方法，并讨论了基态双占有率和磁化强度的界限。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
