Generalized uncertainty principle and its implications on geometric phases in quantum mechanics
Dipartimento di Fisica, Università di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
2 INFN, Sezione di Napoli, Gruppo collegato di Salerno, 84084, Fisciano, SA, Italy
3 Dipartimento di Ingegneria, Università di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy
Accepted: 27 January 2021
Published online: 5 February 2021
We study the implications of the generalized uncertainty principle (GUP) with a minimal measurable length on some quantum mechanical interferometry phenomena, such as the Aharonov–Bohm, Aharonov–Casher, COW and Sagnac effects. By resorting to a modified Schrödinger equation, we evaluate the lowest-order correction to the phase shift of the interference pattern within two different GUP frameworks: the first one is characterized by the redefinition of the physical momentum only, and the other is a Lorentz covariant GUP which also predicts non-commutativity of spacetime. The obtained results allow us to fix upper bounds on the GUP deformation parameters which may be tested through future high-precision interferometry experiments.
© The Author(s) 2021
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