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Journal of Physics A Mathematical and General

Comment on Bohmian prediction about a two double-slit experiment and its disagreement with standard quantum mechanics

Ward Struyve, Willy De Baere, Jan De Neve, S. De Weirdt

Published Jan 22, 2003• 11 citations
Publisher

Abstract

Recently Golshani and Akhavan 2001 J. Phys. A: Math. Gen. 34 5259 proposed an experiment that should be able to distinguish between standard quantum mechanics and Bohmian mechanics. It is our aim to show that the claims made by Golshani and Akhavan are unwarranted.
DOI
10.1088/0305-4470/36/5/325

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Comments on some recently proposed experiments that should distinguish Bohmian mechanics from quantum mechanics

Ward Struyve, Willy De Baere

Recently Ghose (quant-ph/0001024,quant-ph/0003037,quant-ph/0103126) and Golshani and Akhavan (quant-ph/0009040,quant-ph/0103100,quant-ph/0103101) claimed to have found experiments that should be able to distinguish between Standard Quantum Mechanics and Bohmian Mechanics. It is our aim to show that the claims made by Ghose, Golshani and Akhavan are unfounded.

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We reply to Akhavan and Golshani's comment on our double-slit experiment addressed to test standard quantum mechanics versus de Broglie–Bohm theory. We show that their results, albeit representing a relevant contribution to the discussion on the realizability of a test of de Broglie–Bohm theory, do not allow us to draw any conclusion about our experiment since their wavefunction does not describe well the photon states produced by our set-up. On the other hand, we give arguments of why our experiment can be considered a good realization of the theoretical proposal of Ghose (1999 Foundations of Quantum Theory and Quantum Optics ed S M Roy), Ghose et al (2001 Phys. Lett. A 290 205) and Golshani and Akhavan ( 2001 J. Phys. A: Math. Gen. 34 5259 ).

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Reply to: Comment on "Bohmian prediction about a two double-slit experiment and its disagreement with SQM"

Omid Akhavan, Mehdi Golshani

In a recent paper, Struyve et al. [Struyve W, De Baere W, De Neve J and De Weirdt S 2003 J. Phys. A 36 1525] attempted to show that the thought experiment proposed in [Golshani M and Akhavan O 2001 J. Phys. A 34 5259, quant-ph/0103101] cannot distinguish between standard and Bohmian quantum mechanics. Here, we want to show that, in spite of their objection, our conclusion still holds out.

arXiv:quant-ph/0305020•May 5, 2003•0 citations

Bohmian prediction about a two double-slit experiment and its disagreement with standard quantum mechanics

Mehdi Golshani, Omid Akhavan

The significance of proposals that can predict different results for standard and Bohmian quantum mechanics have been the subject of many discussions over the years. Here, we suggest a particular experiment (a two double-slit experiment) and a special detection process, that we call selective detection, to distinguish between the two theories. Using our suggested experiment, it is shown that the two theories predict different observable results at the individual level for a geometrically symmetric arrangement. However, their predictions are the same at the ensemble level. On the other hand, we have shown that at the statistical level, if we use our selective detection, then either the predictions of the two theories differ or where standard quantum mechanics is silent or vague, Bohmian quantum mechanics makes explicit predictions.

arXiv:quant-ph/0103101•Mar 17, 2001•32 citations
We reply to Akhavan and Golshani's comment on our double-slit experiment addressed to test standard quantum mechanics versus de Broglie–Bohm theory. We show that their results, albeit representing a relevant contribution to the discussion on the realizability of a test of de Broglie–Bohm theory, do not allow us to draw any conclusion about our experiment since their wavefunction does not describe well the photon states produced by our set-up. On the other hand, we give arguments of why our experiment can be considered a good realization of the theoretical proposal of Ghose (1999 Foundations of Quantum Theory and Quantum Optics ed S M Roy), Ghose et al (2001 Phys. Lett. A 290 205) and Golshani and Akhavan ( 2001 J. Phys. A: Math. Gen. 34 5259 ).
In this investigation, we have suggested a special two-slit experiment which can distinguish between the standard and the Bohmian quantum mechanics. At the first step, we have shown that observable individual predictions obtained from these two theories are inconsistent for a special case. But, at the ensemble level, they are consistent as was expected. Then, as another special case and using selective detection, it is shown that an observable disagreement between the two theories can exist at the ensemble level of particles. This can encourage new efforts for finding other inconsistencies between the two theories, theoretically and experimentally.
It is shown that the apparent incompatibility of Bohmian mechanics with standard quantum mechanics, found by Akhavan and Golshani quant-ph/0305020, is an artefact of the fact that the initial wavefunction they use, being proportional to a δδδ-function, is not a regular wavefunction.
The significance of proposals that can predict different results for standard and Bohmian quantum mechanics have been the subject of many discussions over the years. Here, we suggest a particular experiment (a two double-slit experiment) and a special detection process, that we call selective detection, to distinguish between the two theories. Using our suggested experiment, it is shown that the two theories predict different observable results at the individual level for a geometrically symmetric arrangement. However, their predictions are the same at the ensemble level. On the other hand, we have shown that at the statistical level, if we use our selective detection, then either the predictions of the two theories differ or where standard quantum mechanics is silent or vague, Bohmian quantum mechanics makes explicit predictions.