Proposal for a Bose-Einstein condensate based test of Born's rule using light-pulse atom interferometry

• URL: http://arxiv.org/abs/2409.04163v1
• Date: Fri, 6 Sep 2024 10:01:48 GMT
• Title: Proposal for a Bose-Einstein condensate based test of Born's rule using light-pulse atom interferometry
• Authors: Simon Kanthak, Julia Pahl, Daniel Reiche, Markus Krutzik,
• Abstract summary: We benchmark light-pulse atom interferometry with ultra-cold quantum gases to test the modulo-square hypothesis of Born's rule. Our interferometric protocol is based on a combination of double Bragg and single Raman diffraction to induce multipath interference in Bose-Einstein condensates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose and numerically benchmark light-pulse atom interferometry with ultra-cold quantum gases as a platform to test the modulo-square hypothesis of Born's rule. Our interferometric protocol is based on a combination of double Bragg and single Raman diffraction to induce multipath interference in Bose-Einstein condensates (BECs) and block selected interferometer paths, respectively. In contrast to previous tests employing macroscopic material slits and blocking masks, optical diffraction lattices provide a high degree of control and avoid possible systematic errors like geometrical inaccuracies from manufacturing processes. In addition, sub-recoil expansion rates of delta-kick collimated BECs allow to prepare, distinguish and selectively address the external momentum states of the atoms. This further displays in close-to-unity diffraction fidelities favorable for both high-contrast interferometry and high extinction of the blocking masks. In return, non-linear phase shifts caused by repulsive atom-atom interactions need to be taken into account, which we fully reflect in our numerical simulations of the multipath interferometer. Assuming that the modulo-square rule holds, we examine the impact of experimental uncertainties in accordance with conventional BEC interferometer to provide an upper bound of $5.7\times10^{-3}$ $\left(1.8\times10^{-3}\right)$ on the statistical deviation of $100$ $\left(1000\right)$ iterations for a hypothetical third-order interference term.

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