标题： 厄米玻色子映射和有限截断 显示英文标题

标题： Hermitian boson mapping and finite truncation

摘要： 从一个保持厄米共轭的一般微观费米子到玻色子映射开始，我们讨论玻色子福克空间基的截断。我们给出在什么条件下有限费米子算符的精确玻色子图像在截断基中也是有限的（例如，一个1+2体费米子哈密顿量被映射为一个1+2体玻色子哈密顿量）。对于最一般的情况，其中图像不一定是精确有限的，我们讨论如何进行实际且可控的近似。 显示英文摘要

摘要： Starting from a general, microscopic fermion-to-boson mapping that preserves Hermitian conjugation, we discuss truncations of the boson Fock space basis. We give conditions under which the exact boson images of finite fermion operators are also finite (e.g., a 1+2-body fermion Hamiltonian is mapped to a 1+2-body boson Hamiltonian) in the truncated basis. For the most general case, where the image is not necessarily exactly finite, we discuss how to make practical and controlled approximations.