1996/07/15 by Ian C. Percival, I C Percival, Walter T. Strunz · 4 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.1098/rspa.1997.0025
TeX, 23 pages, submitted to Proc. Roy. Soc. Lond
arxiv created 1996/07/15 · openalex publication_date 1997/02/08 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
In papers on primary state diffusion (Percival 1994, 1995), numerical estimates suggested that fluctuations in the spacetime metric on the scale of the Planck time (ca.10–44s) could be detected using atom interferometers. In this paper we first specify a stochastic metric obtained from fluctuations that propagate with the velocity of light, and then develop the non–Markovian quantum state diffusion theory required to estimate the resulting decoherence effects on a model matter interferometer. Both commuting and non–commuting fluctuations are considered. The effects of the latter are so large that if they applied to some real atom interferometry experiments they would have suppressed the observed interference. The model is too crude to conclude that such fluctuations do not exist, but it does demonstrate that the small numerical value of the Planck time does not alone prevent experimental access to Planck–scale phenomena in the laboratory.