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Cheating on Complementarity and Interference by Translational – Internal Entanglement

Gershon Kurizki, Nir Bar‐Gill, Jens Clausen, Michal Kolář, Tomáš Opatrný

Published Jul 27, 2006• 1 citation
Publisher
DOI
10.1007/s11128-006-0031-4

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The aim of this paper is to revisit the implications of complementarity when we inject into a Mach Zehnder interferometer particles with internal structure, prepared in special translational–internal entangled (TIE) intraparticle states. This correlation causes the path distinguishability to be interferometric phase-dependent in contrast to the standard case, where distinguishability depends on some external parameters (not interferometric phase). We show that such a TIE state permits us to detect small phase shifts along with almost perfect path distinguishability, beyond the constraints imposed by complementarity on simultaneous which-way and which-phase measurements for cases when distinguishability is uncoupled to interferometric phase.