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

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

2009-01-18

arxiv.org/abs/0901.2708v1

Phys. Rev. Lett. 101, 260401 (2008)

Physics

Quantum Physics

4 pages, additional comment included

Scientific paper

10.1103/PhysRevLett.101.260401

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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