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29 March 2024
 
  » arxiv » 1601.0046

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Line of magnetic monopoles and an extension of the Aharonov-Bohm effect
J. Chee ; W.Lu ;
Date 1 Jan 2016
AbstractIn the Landau problem on the two-dimensional plane, magnetic translation of a quantum wave can be induced by an in-plane electric field. The geometric phase accompanying such magnetic translation around a closed path differs from the topological phase of Aharonov and Bohm in two aspects: The wave is in direct contact with the magnetic flux and the geometric phase has an opposite sign from the Aharonov-Bohm phase. We show that magnetic translation on the two-dimensional cylinder implemented by the Schr"odinger time evolution truly leads to an identification of the Berry phase with the Aharonov-Bohm phase. The magnetic field at the cylinder’s surface corresponds to a line of monopoles which can be simulated in cold atom experiments. We propose an extension of the Aharonov-Bohm experiment which can demonstrate the mutually counteracting effect between the local magnetic translation geometric phase and the topological phase of Aharonov-Bohm.
Source arXiv, 1601.0046
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