论文标题
费米和矩阵量子力学中的目标空间纠缠
Target Space Entanglement in Quantum Mechanics of Fermions and Matrices
论文作者
论文摘要
量子纠缠与量子重力中的时空结构密切相关。对于量子场理论或统计模型,我们通常考虑基本空间纠缠。但是,目标空间而不是基本空间有时直接连接到我们的时空。在这些情况下,自然要考虑一个目标空间纠缠的概念。为了定义目标空间纠缠,我们考虑了基于代数方法的纠缠熵的广义定义。审查了这种方法,并应用于第一个量化的粒子,尤其是费米子。本文基于论文JHEP 08(2021)046 [ARXIV:2105.13726]。
Quantum entanglement is closely related to the structure of spacetime in quantum gravity. For quantum field theories or statistical models, we usually consider base space entanglement. However, target space instead of base space sometimes directly connects to our spacetime. In these cases, it is natural to consider a concept of target space entanglement. To define the target space entanglement, we consider a generalized definition of entanglement entropy based on an algebraic approach. This approach is reviewed and is applied to the first quantized particles, in particular, fermions. This article is based on the paper JHEP 08 (2021) 046 [arXiv:2105.13726].