Phys. Rev. Lett. 84, 4790–4793 (2000)Complementarity between Local and Nonlocal Topological EffectsReceived 9 December 1999; published in the issue dated 22 May 2000 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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.4790
DOI:
10.1103/PhysRevLett.84.4790
PACS:
03.65.Bz
See AlsoComment: Philipp Hyllus and Erik Sjöqvist, Comment on “Complementarity between Local and Nonlocal Topological Effects”, Phys. Rev. Lett. 89, 198901 (2002). Reply: Yakir Aharonov and Benni Reznik, Aharonov and Reznik Reply:, Phys. Rev. Lett. 89, 198902 (2002). |
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