论文标题
冯·诺伊曼型与Bose-Einstein冷凝物的相互作用的投影假设
Projection Hypothesis from the von Neumann-type Interaction with a Bose-Einstein Condensate
论文作者
论文摘要
我们通过限制可观察到的集合来得出投影量子测量中的投影假设。 This projection hypothesis accompanies a bipartite system with the von Neumann-type interaction, which consists of a quantum mechanical system, with a meter variable to be measured, and a quantum field theoretically macroscopic extended object, that is, a spatiotemporally inhomogeneous Bose-Einstein condensate in quantum field theory with the quantum coordinate, that is, the zero-energy Goldstone自发折断的全局空间翻译对称性的模式。派生的关键步骤是，该量子坐标的对称性翻译返回量子场理论中c数空间坐标的反翻译，以及由于取消选择规则而导致的金石模式，量子波动减少了经典波动。
We derive the projection hypothesis in projective quantum measurement by restricting the set of observables. This projection hypothesis accompanies a bipartite system with the von Neumann-type interaction, which consists of a quantum mechanical system, with a meter variable to be measured, and a quantum field theoretically macroscopic extended object, that is, a spatiotemporally inhomogeneous Bose-Einstein condensate in quantum field theory with the quantum coordinate, that is, the zero-energy Goldstone mode(s) of the spontaneously broken global spatial translational symmetry. The key steps in the derivation are the return of the symmetry translation of this quantum coordinate to the inverse translation of the c-number spatial coordinate in quantum field theory and the reduction of quantum fluctuations to classical fluctuations with respect to the Goldstone mode(s) due to a superselection rule.
