Quantum mechanical which-way experiment with an internal degree of freedom
arXiv:1311.0017 · doi:10.1038/ncomms3594
Abstract
For a particle travelling through an interferometer, the trade-off between the available which-way information and the interference visibility provides a lucid manifestation of the quantum mechanical wave-particle duality. Here we analyze this relation for a particle possessing an internal degree of freedom such as spin. We quantify the trade-off with a general inequality that paints an unexpectedly intricate picture of wave-particle duality when internal states are involved. Strikingly, in some instances which-way information becomes erased by introducing classical uncertainty in the internal degree of freedom. Furthermore, even imperfect interference visibility measured for a suitable set of spin preparations can be sufficient to infer absence of which-way information. General results are illustrated with a proof-of-principle single photon experiment.
8 pages, 3 figures
References in corpus (6)
- Experimental realization of Wheeler's delayed-choice GedankenExperiment
- A quantum delayed choice experiment
- Entanglement-enabled delayed choice experiment
- Quantum erasure with causally disconnected choice
- Bound entangled states with a private key and their classical counterpart
- Experimental Extraction of Secure Correlations from a Noisy Private State
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