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  Unbounded quantum backflow in two dimensions

Barbier, M., Goussev, A., & Srivastava, S. C. L. (2023). Unbounded quantum backflow in two dimensions. Physical Review A, 107(3): 032204. doi:10.1103/PhysRevA.107.032204.

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2211.06539.pdf (Preprint), 747KB
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Barbier, Maximilien1, Author           
Goussev, Arseni2, Author
Srivastava, Shashi C. L.2, Author
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1Max Planck Institute for the Physics of Complex Systems, Max Planck Society, ou_2117288              
2external, ou_persistent22              

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 Abstract: Quantum backflow refers to the counterintuitive fact that the probability can flow in the direction opposite to the momentum of a quantum particle. This phenomenon has been seen to be small and fragile for one-dimensional systems, in which the maximal amount of backflow has been found to be bounded. Quantum backflow exhibits dramatically different features in two-dimensional systems that, in contrast to the one-dimensional case, allow for degenerate energy eigenstates. Here we investigate the case of a charged particle that is confined to move on a finite disk punctured at the center and that is pierced through the center, and normally to the disk, by a magnetic flux line. We demonstrate that quantum backflow can be unbounded (in a certain sense), which makes this system a promising physical platform regarding the yet-to-be-performed experimental observation of this fundamental quantum phenomenon.

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Language(s): eng - English
 Dates: 2023-03-072023-03-01
 Publication Status: Issued
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Title: Physical Review A
  Other : Physical Review A: Atomic, Molecular, and Optical Physics
  Other : Phys. Rev. A
Source Genre: Journal
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Publ. Info: New York, NY : American Physical Society
Pages: - Volume / Issue: 107 (3) Sequence Number: 032204 Start / End Page: - Identifier: ISSN: 1050-2947
CoNE: https://pure.mpg.de/cone/journals/resource/954925225012_2