Aharonov Y, Reznik B. Complementarity between local and nonlocal topological effects.
PHYSICAL REVIEW LETTERS 2000;
84:4790-4793. [PMID:
10990799 DOI:
10.1103/physrevlett.84.4790]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/09/1999] [Indexed: 05/23/2023]
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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