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Local/Non-Local Complementarity in Topological Effects

Yakir Aharonov·Benni Reznik
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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 non-local and local attributes of the topology, which is reminiscent but yet different from the usual wave-particle complementarity. This complementarity is not a consequence of non-commutativity, rather it is due to the non-canonical nature of the observables. We suggest that a local/non-local complementarity is a general feature of topological effects that are ``dual'' to the AB effect.

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BibTeXRIS

Yakir Aharonov, Benni Reznik. 1999-12-09. Local/Non-Local Complementarity in Topological Effects. https://doi.org/10.1103/physrevlett.84.4790

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