Collapse dynamics and Hilbert-space stochastic processes
Abstract
Spontaneous collapse models of state vector reduction represent a possible solution to the quantum measurement problem. In the present paper we focus our attention on the Ghirardi-Rimini-Weber (GRW) theory and the corresponding continuous localisation models in the form of a Brownian-driven motion in Hilbert space. We consider experimental setups in which a single photon hits a beam splitter and is subsequently detected by photon detector(s), generating a superposition of photon-detector quantum states. Through a numerical approach we study the dependence of collapse times on the physical features of the superposition generated, including also the effect of a finite reaction time of the measuring apparatus. We find that collapse dynamics is sensitive to the number of detectors and the physical properties of the photon-detector quantum states superposition.
Cite
@article{arxiv.2112.14580,
title = {Collapse dynamics and Hilbert-space stochastic processes},
author = {Daniele Bajoni and Oreste Nicrosini and Alberto Rimini and Simone Rodini},
journal= {arXiv preprint arXiv:2112.14580},
year = {2021}
}
Comments
24 figures, 21 pages