2016/03/14 by Avi Marchewka, Er’el Granot, Er'el Granot +2
Computer Science · Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Detector #Geometry #Identical particles #Interpretation (philosophy) #Limit (mathematics) #Mathematical analysis #Mathematics #Optics #Physics #Point (geometry) #Property (philosophy) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #quant-ph
paper · pdf · doi:10.1016/j.physleta.2016.03.017
15 pages, 2 figures,to be published in Phys. Lett. A
arxiv created 2016/03/14 · openalex publication_date 2016/03/16 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Theoretically, the coordinate measurement of two identical particles at a point by two narrowly separated narrow detectors, is interpreted in the limit of shrinking width and separation, as the detection of two particles by a single narrow detector. Ordinarily, the ratio between probabilities of point measurements is independent of the width of the narrow detectors. We show here that not only this is not the case, but that in some scenarios the results depend on the way the dimensions shrink to zero. The ratio between the width and the separation determines the detection result. In particular, it is shown that the bunching parameter of bosons is not a well-defined physical property. Moreover, it may suggests that there is a difficulty in quantum measurement theory in the interpretation of coordinate measurement of two particles.