In this paper we demonstrate that new phase defects of the Gross-Pitaevskii equation (GPE) can be produced as a Aharonov-Bohm effect resulting from pure phase twist injection on existing defects. This is a phenomenon that has physical justification in the hydrodynamic interpretation of GPE. Here we give an analytical proof of its effects by using Fermi-Walker transport and Biot-Savart induction law. An analytical derivation of the dispersion relation is derived from the superposition of phase twist on the fundamental state. Since the extra twist corresponds to a topological change of the total linking number of the system, we show that the production of new defects is just another manifestation of the Aharonov-Bohm effect. We propose a laboratory experiment for Bose-Einstein condensates to test this phenomenon and to show that it can have useful applications in science and technology.

Foresti, M., Ricca, R. (2019). Defect production by pure phase twist injection as Aharonov-Bohm effect. PHYSICAL REVIEW. E, 100(2) [10.1103/PhysRevE.100.023107].

Defect production by pure phase twist injection as Aharonov-Bohm effect

Ricca Renzo
Secondo
2019

Abstract

In this paper we demonstrate that new phase defects of the Gross-Pitaevskii equation (GPE) can be produced as a Aharonov-Bohm effect resulting from pure phase twist injection on existing defects. This is a phenomenon that has physical justification in the hydrodynamic interpretation of GPE. Here we give an analytical proof of its effects by using Fermi-Walker transport and Biot-Savart induction law. An analytical derivation of the dispersion relation is derived from the superposition of phase twist on the fundamental state. Since the extra twist corresponds to a topological change of the total linking number of the system, we show that the production of new defects is just another manifestation of the Aharonov-Bohm effect. We propose a laboratory experiment for Bose-Einstein condensates to test this phenomenon and to show that it can have useful applications in science and technology.
Articolo in rivista - Articolo scientifico
Twist, Topological fluid mechanics, vortex defect, Gross-Pitaevskii equation
English
2019
100
2
023107
reserved
Foresti, M., Ricca, R. (2019). Defect production by pure phase twist injection as Aharonov-Bohm effect. PHYSICAL REVIEW. E, 100(2) [10.1103/PhysRevE.100.023107].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/271934
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