Probing the quantum commutation rules through cavity QED
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We propose a cavity QED-based scheme to observe the noncommutativity between the creation and annihilation operators. By conditional measurement after the atom-field interaction in a cavity, it is possible to achieve a photon-added-then-subtracted state and a photon-subtracted-then-added state, which have different statistical properties. This scheme has the advantages of simple analytical results and much higher generation probabilities. We show that the ideal results of one-cycle photon addition and subtraction are approached in the short time limit. We also discuss the possible implementation scheme.
DescriptionJournals published by the American Physical Society can be found at http://publish.aps.org/
SubjectLOSSLESS BEAM SPLITTER