论文标题
在准热量子理论中可观察到的非局部性
Nonlocality of Observables in Quasi-Hermitian Quantum Theory
论文作者
论文摘要
在量子量量子理论中明确构建了局部可观察的代数理论中的局部量子量子理论，均在张量的局部量和自由费米斯模型中得出。后一种结构适用于几种$ \ Mathcal {pt} $ - 在1维晶格上的粒子支持自由费米的对称玩具模型，具有最近的邻居相互作用和开放的边界条件。尽管哈密顿人的位置，但在晶格中的一般地点集合中并不存在当地可观察物。确实包含非平凡可观察物的站点的集合在很大程度上取决于复杂的潜力。
Explicit construction of local observable algebras in quasi-Hermitian quantum theories is derived in both the tensor product model of locality and in models of free fermions. The latter construction is applied to several cases of a $\mathcal{PT}$-symmetric toy model of particle-conserving free fermions on a 1-dimensional lattice, with nearest neighbour interactions and open boundary conditions. Despite the locality of the Hamiltonian, local observables do not exist in generic collections of sites in the lattice. The collections of sites which do contain nontrivial observables strongly depends on the complex potential.
