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Complementarity between local and nonlocal topological effects
1School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel and Department of Physics, University of South Carolina, Columbia, South Carolina 29208, USA.
Abstract:
In certain topological effects the accumulation of a quantum phase shift is accompanied by a local observable effect. We show that such effects manifest a complementarity between nonlocal and local attributes of the topology, which is reminiscent but different from the usual wave-particle complementarity. This complementarity is not a consequence of noncommutativity, rather it is due to the noncanonical nature of the observables. We suggest that a local/nonlocal complementarity is a general feature of topological effects that are "dual" to the Aharonov-Bohm effect.
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