Scheme for proving the bosonic commutation relation using single-photon interference.
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.
Kim
M S
MS
School of Mathematics and Physics, The Queen's University, Belfast BT7 INN, United Kingdom.
Jeong
H
H
Zavatta
A
A
Parigi
V
V
Bellini
M
M