Phys. Rev. A 78, 062107 (2008) [10 pages]Complementarity and uncertainty relations for matter-wave interferometryReceived 22 August 2008; published 9 December 2008 We establish a rigorous quantitative connection between (i) the interferometric duality relation for which-way information and fringe visibility and (ii) Heisenberg’s uncertainty relation for position and modular momentum. We apply our theory to atom interferometry, wherein spontaneously emitted photons provide which-way information and unambiguously resolve the challenge posed by the metamaterial “perfect lens” to complementarity and to the Heisenberg-Bohr interpretation of the Heisenberg microscope thought experiment. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.78.062107
DOI:
10.1103/PhysRevA.78.062107
PACS:
03.65.Ta, 03.75.Dg, 42.50.Dv
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