Experiment-friendly formulation of quantum backflow

Marek Miller1,2, Woo Chee Yuan1, Rainer Dumke1,3, and Tomasz Paterek1,4,5

1School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore
2Centre of New Technologies, University of Warsaw, Poland
3Centre for Quantum Technologies, National University of Singapore, Singapore
4MajuLab, International Joint Research Unit UMI 3654, CNRS, Universite Cote d'Azur, Sorbonne Universite, National University of Singapore, Nanyang Technological University, Singapore
5Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk, Poland

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Quantum backflow is usually understood as a quantum interference phenomenon where probability current of a quantum particle points in the opposite direction to particle's momentum. Here, we quantify the amount of quantum backflow for arbitrary momentum distributions, paving the way towards its experimental verification. We give examples of backflow in gravitational and harmonic potential, and discuss experimental procedures required for the demonstration using atomic gravimeters. Such an experiment would show that the probability of finding a free falling particle above initial level could grow for suitably prepared quantum state with most momentum downwards.

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Cited by

[1] Anat Daniel, Bohnishikha Ghosh, Bernard Gorzkowski, and Radek Lapkiewicz, "Demonstrating backflow in classical two beams’ interference", New Journal of Physics 24 12, 123011 (2022).

[2] Leonardo Di Bari, Valentin Daniel Paccoia, Orlando Panella, and Pinaki Roy, "Quantum backflow for a massless Dirac fermion on a ring", Physics Letters A 474, 128831 (2023).

[3] Maximilien Barbier, Arseni Goussev, and Shashi C. L. Srivastava, "Unbounded quantum backflow in two dimensions", Physical Review A 107 3, 032204 (2023).

[4] P Strange, "Quantum backflow for a free-particle hermite wavepacket", Physica Scripta 99 2, 025017 (2024).

[5] Ioannis Chremmos, "Design of quantum backflow in the complex plane", Journal of Physics A: Mathematical and Theoretical 57 5, 055301 (2024).

[6] Maximilien Barbier and Arseni Goussev, "On the experiment-friendly formulation of quantum backflow", Quantum 5, 536 (2021).

[7] Dripto Biswas and Subir Ghosh, "Quantum backflow across a black hole horizon in a toy model approach", Physical Review D 104 10, 104061 (2021).

[8] David Trillo, Thinh P. Le, and Miguel Navascués, "Quantum advantages for transportation tasks - projectiles, rockets and quantum backflow", npj Quantum Information 9 1, 69 (2023).

[9] S. V. Mousavi and S. Miret-Artés, "Different routes to the classical limit of backflow", Journal of Physics A Mathematical General 55 47, 475302 (2022).

The above citations are from Crossref's cited-by service (last updated successfully 2024-07-15 13:46:01) and SAO/NASA ADS (last updated successfully 2024-07-15 13:46:02). The list may be incomplete as not all publishers provide suitable and complete citation data.