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APS » Journals » Phys. Rev. Lett. » Volume 101 » Issue 26
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Phys. Rev. Lett. 101, 260401 (2008) [4 pages]

Scheme for Proving the Bosonic Commutation Relation Using Single-Photon Interference

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M. S. Kim1, H. Jeong2, A. Zavatta3, V. Parigi4, and M. Bellini3,4
1School of Mathematics and Physics, The Queen’s University, Belfast BT7 1NN, United Kingdom
2Center for Subwavelength Optics and Department of Physics and Astronomy, Seoul National University, Seoul, 151-742, South Korea
3Istituto Nazionale di Ottica Applicata (CNR), Largo E. Fermi, 6, I-50125, Florence, Italy
4LENS and Department of Physics, University of Firenze, 50019 Sesto Fiorentino, Florence, Italy

Received 5 July 2008; published 31 December 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.260401
DOI:
10.1103/PhysRevLett.101.260401
PACS:
03.65.Ta, 05.30.Jp, 42.50.Ar, 42.50.Xa
 
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