## New aspects, variants and analogs of the Aharonov-Bohm effect

#### by Dr. Eliahu Cohen

*Bar-Ilan University*

##### at Physics Colloquium

Tue, 12 Mar 2024, 15:15

Ilse Katz Institute for Nanoscale Science & Technology (51), room 015

#### Abstract

The Aharonov-Bohm (AB) effect is a fundamental topological phenomenon with a wide range of applications. It is also an important special case of the geometric phase [1,2]. First, I'd like to briefly address its nonlocal aspects [3], as well as the coherence and irrealism associated with it [4]. Then I'll discuss some of its recent variants allowing measurement of the magnetic flux with a single position measurement of a single electron [5], and stretching its topological nature [6]. Finally, I'll discuss an on-going experiment at Bar-Ilan University where we use our temporal SU(1,1) interferometer [7] to demonstrate an all-optical AB effect at the time domain.

[1] Cohen E., Larocque H., Bouchard F., Nejadsattari F., Gefen Y., Karimi E., "Geometric phase from Aharonov-Bohm to Pancharatnam–Berry and beyond", Nat. Rev. Phys. 1, 437-449 (2019).

[2] Paiva I.L., Lenny R., Cohen E., "Geometric phases and the Sagnac effect: Foundational aspects and sensing applications", Adv. Quantum Technol. 5, 2100121 (2022).

[3] Aharonov Y., Cohen E., Rohrlich D., “The Nonlocality of the Aharonov-Bohm Effect”, Phys. Rev. A 93, 042110 (2016).

[4] Paiva I. L., Dieguez P. R., Angelo R. M., Cohen E., "Coherence and realism in the Aharonov-Bohm effect", Phys. Rev. A 107, 032213 (2023).

[5] Cohen E., Vaidman L., Aharonov Y., “How to Measure Magnetic Flux with a Single Position Measurement?”, Europhys. Lett. 110, 50004 (2015).

[6] Aharonov Y., Paiva I.L., Schwartzman-Nowik Z., Elitzur A.C., Cohen E., "Time-symmetry and topology of the Aharonov-Bohm effect", J. Phys. A 56, 475302 (2023).

[7] Meir S., Tamir Y., Duadi H., Cohen E., Fridman M., "Ultrafast Temporal SU(1,1) interferometer", Phys. Rev. Lett. 130, 253601 (2023).

Created on 08-01-2024 by Maniv, Eran (eranmaniv)

Updaded on 05-03-2024 by Maniv, Eran (eranmaniv)