Bohmian trajectories for photons

Abstract

The first examples of Bohmian trajectories for photons have been worked out for simple situations, using the Kemmer-Duffin-Harishchandra formalism.Comment: 7 pages, Latex, Comments about time-like properties of Bohmian velocities added. Revised version accepted for publication in Physics Letters

Biphoton double-slit experiment

“…4 with our data, in In Fig.6 we report the swept with a larger iris (6 mm) scanning the whole diffraction This last result is at variance with the dBB prediction for coincidences calculated by [8][9][10], where the coincidence signal is predicted to be strictly zero when the two detectors are in the same semiplane with respect to the double slit symmetry axis (this configuration was purposely chosen since it has the largest coincidence signal for this case), as discussed in the previous paragraph. In particular, when the centre of the lens of the first detector is placed -1.7 cm after the median symmetry axis of the two slits (recall, the minus means to the left of the symmetry axis looking towards the crystal) and the second detector is kept at -5.5 cm, with 35 acquisitions of 30' each we obtained 78 ± 10 coincidences per 30 minutes after background subtraction, ruling out a null result at nearly eight standard deviations.…”

“…The main result of our experiment is that our scheme realises the configuration recently suggested by two theoretical groups [8][9][10] to test the de Broglie-Bohm (dBB) theory against standard quantum mechanics (SQM). dBB [11] is a deterministic theory where the hidden variable (determining the evolution of a specific system) is the position of the particle, which follows a perfectly defined trajectory in its motion.…”

“…[8][9][10] Let us now briefly summarise (simplifying a bit) the results of Ref. [8][9][10] concerning the dBB prediction for our double slit experiment.…”

“…This is the main source of incompatibility between dBB and SQM according to Ref. [8][9][10], result that we will test in the following.…”

Extension of Information Geometry to Non-statistical Systems: Some Examples

“…The subsequent experimental implementations follow the same scheme. See for instance [9,10]. In the present paper only the first part of the experimental setup is considered as the quantum system.…”