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arXiv · 0901.2708

Scheme for proving the bosonic commutation relation using single-photon interference

M. S. Kim·H. Jeong·A. Zavatta·V. Parigi·M. Bellini
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Abstract

We propose an experiment to directly prove the commutation relation between bosonic annihilation and creation operators, based on the recent experimental success in single-photon subtraction and addition. We devise a single-photon interferometer to realize coherent superpositions of two sequences of photon addition and subtraction. Depending on the interference outcome, the commutation relation is directly proven or a highly nonclassical state is produced. Experimental imperfections are assessed to show that the realization of the scheme is highly feasible.

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M. S. Kim, H. Jeong, A. Zavatta, V. Parigi, M. Bellini. 2009-01-18. Scheme for proving the bosonic commutation relation using single-photon interference. https://doi.org/10.1103/physrevlett.101.260401

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