https://doi.org/10.1140/epjp/s13360-022-02545-6
Regular Article
Geometric quantum phase from the interaction of the permanent electric dipole moment of a neutral particle with an axial magnetic field
Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58051-900, João Pessoa, Paraíba, Brazil
Received:
4
October
2021
Accepted:
1
March
2022
Published online:
11
March
2022
We study the appearance of a geometric quantum phase from the interaction of the permanent electric dipole moment of a neutral particle with an axial magnetic field produced by a nonuniform electric current density. We show that this geometric phase is a non-Abelian phase and a non-dispersive phase. We also show that it differs from the He–McKellar–Wilkens geometric quantum phase. Further, we consider the radial magnetic field produced by a nonuniform magnetization inside a long ferromagnetic wire, and thus, obtain the geometric quantum phase from the interaction of the electric dipole moment with the axial and radial magnetic fields. Then, we discuss the quantum holonomy which can be obtained in this neutral particle system.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022