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Line of magnetic monopoles and an extension of the Aharonov-Bohm effect | J. Chee
; W.Lu
; | Date: |
1 Jan 2016 | Abstract: | In 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 | Services: | Forum | Review | PDF | Favorites |
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