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The European Physical Journal Plus

Geometric quantum phase from the interaction of the permanent electric dipole moment of a neutral particle with an axial magnetic field

K. Bakke

Published Mar 11, 2022• 5 citations
Publisher
DOI
10.1140/epjp/s13360-022-02545-6

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Abstract By dealing with an elastic medium with a disclination, we search for the influence of the disclination topology on a geometric quantum phase yielded by the interaction of a nonuniform magnetic field with the permanent electric dipole moment of a neutral particle. This magnetic field is produced by a nonuniform electric current density. Further, we explore the non-Abelian nature of the geometric quantum phase in search of quantum holonomies for this neutral particle system and discuss a possible application to the geometric quantum computation.
In this paper we study the quantum dynamics of a neutral particle in the presence of a topological defect. We investigate the appearance of a geometric phase in the relativistic quantum dynamics of a neutral particle which possesses permanent magnetic and electric dipole moments in the presence of an electromagnetic field in this curved space-time. The nonrelativistic quantum dynamics are investigated using the Foldy-Wouthuysen expansion. The gravitational Aharonov-Casher and He-McKellar-Wilkens effects are investigated for a series of electric and magnetic field configurations.