Complementarity and uncertainty relations for matter wave interferometry
arXiv:0709.0613 · doi:10.1103/PhysRevA.78.062107
Abstract
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.
nine pages, five figures
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Cited by in corpus (6)
- Journeys from Quantum Optics to Quantum Technology
- Einstein's Recoiling Slit Experiment, Complementarity and Uncertainty
- Critique of Quantum Optical Experimental Refutations of Bohr's Principle of Complementarity, of the Wootters-Zurek Principle of Complementarity, and of the Particle-Wave Duality Relation
- Decoherence from Long-Range Forces in Atom Interferometry
- Aspects of Complementarity and Uncertainty
- Swapping space for time: An alternative to time-domain interferometry