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Quantum Information and Computation

Holonomic quantum computation with the Aharonov-Casher setup associated with topological defects

K. Bakke, Claudio Furtado

Published May 1, 2011• 0 citations
Publisher

Abstract

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 electri...
DOI
10.5555/2011406.2011412

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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.