17aAC-4 Verification of commutation relation via entangled photon pair

Jan Soubusta, Jan Peřina, Martin Hendrych +3 more

Li-Juan Feng

Two solutions of correlation function of entangled photon pair in quantum optics are introduced.The first method uses the commutation relation of raising and lowering operator;the second method is called the second quantization.For the latter,one does not need to use any commutation relation,thus it is very convenient.

Todd S. Larchuk

Jiyong Park, Su‐Yong Lee, Ho-Joon Kim +1 more

We propose an experimental scheme to prove the photon commutation relation, [ a , a † ]=1. The scheme exploits interaction between a single-mode cavity field and three two-level atoms, two of which are prepared in an entangled state. The success of the scheme is subject to observation of the atoms in predetermined states after the interaction. We show, in particular, that a reasonably high success probability can be obtained with our scheme by preparing the cavity field in a superposition of two Fock states and choosing the interaction times appropriately.

Hans Dang, Sebastian Luff, Martin Fischer +4 more

The canonical commutation relation is a cornerstone of quantum theory and underlies the Heisenberg uncertainty principle. Although uncertainty relations have been extensively tested, direct verifications of the underlying commutation relation itself have remained elusive. We report an experimental demonstration of the bosonic commutation relation for optical field operators based on measurements of two distinct intensity correlation functions. From these measurements, we extract the expectation value of the field-operator commutator for both a single-photon state and coherent state. In both cases, the measured values are consistent with unity, in quantitative agreement with quantum theory.

Yong‐Su Kim, Hyang‐Tag Lim, Young-Sik Ra +1 more