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Physica A Statistical Mechanics and its Applications

Electric- and magnetic-dipole contributions to the reaction field theory

A.‐S. F. Obada, A.M.M. Abu-Sitta

Published Aug 1, 1978• 5 citations
Publisher
DOI
10.1016/0378-4371(78)90225-x

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It has been shown in an earlier publication [J. Pendlebury et al. Phys. Rev. A 70, 032102 (2004)] that magnetic-field gradients applied to particles in traps can induce Larmor frequency shifts that may falsely be interpreted as electric-dipole moment signals. This study has now been extended to include nonuniform magnetic-field gradients due to the presence of a local magnetic dipole. It is found that, in the high orbit-frequency regime, .the magnitude of the shifts can be enhanced beyond the simple expectation of proportionality to the volume-averaged magnetic-field gradient $⟨\ensuremath{\partial}{B}_{z}∕\ensuremath{\partial}z⟩$.
In this work, we propose a new formulation allowing to realize the holonomic quantum computation with neutral particles with a permanent magnetic dipole moments interacting with an external electric field in the presence of a topological defect. We show that both the interaction of the electric field with the magnetic dipole moment and the presence of topological defect generate independent contributions to the geometric quantum phases which can be used to describe any arbitrary rotation on the magnetic dipole moment without using the adiabatic approximation.