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

Year: 2008

Authors: Kim M. S., Jeong H., Zavatta A., Parigi V., Bellini M.

Autors Affiliation: School of Mathematics and Physics, The Queen’s University, Belfast BT7 1NN, United Kingdom; Center for Subwavelength Optics and Department of Physics and Astronomy, Seoul National University, Seoul, 151-742, South Korea; Istituto Nazionale di Ottica Applicata (CNR), Largo E. Fermi, 6, I-50125, Florence, Italy; LENS and Department of Physics, University of Firenze, 50019 Sesto Fiorentino, Florence, Italy

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.


Volume: 101 (26)      Pages from: 260401-1  to: 260401-4

More Information: M. S. K. thanks Professor Englert for showing him complementarity in an optical setup and Dr. Dunningham for discussions. This work was supported by Ente Cassa di Risparmio di Firenze, MIUR-PRIN, CNR-RSTL, EPSRC, QIP IRC, and the KOSEF grant funded by the Korea government (MEST) (R11-2008-095-01000-0).
KeyWords: Experiments; Particle beams; Quantum theory, Coherent superpositions; Commutation relations; Creation operators; Nonclassical states; Photon interferences; Photon subtractions, Photons
DOI: 10.1103/PhysRevLett.101.260401

Citations: 83
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