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Optics Communications

The stationary resonance fluorescence of a two-level atom in a cat-state field

V. A. Tomilin, Leonid V. Il'ichov

Published May 7, 2016• 5 citations
Publisher
DOI
10.1016/j.optcom.2016.04.067

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We have studied the response of atoms in a dilute collimated atomic beam to transient phase-controlled resonant excitation fields. We demonstrate that the use of such excitation makes it possible to place the atoms into stationary states of the coupled atom-field system. We show that these states, which are easily visualized in the two-level-atom vector model, are equivalent to the dressed states of resonance fluorescence theory. Studies of atoms in pure dressed states should allow interesting tests of basic atom-field interactions.
The joint probability P 12 of detecting two photons at two different positions in the interference of a classical field with the resonance fluorescence field from a coherently driven two-level atom is investigated. We find that P 12 shows a stronger modulation with detector separation than is predicted by a classical wave theory. Under stationary conditions and if the driving field is strong enough to saturate the atomic transition, the relative modulation amplitude a of the P 12 pattern reaches its maximum possible value a = 1 for E → 0 (where E is the classical field amplitude), but simultaneously the whole phenomena vanishes, P 12 → 0. For equal intensities of the classical and the resonance fluorescent field we have a = ⅔. Compared with this, a classical wave theory predicts a possible maximum value of a = ½.
Recently, Miranowicz et al compared three different definitions of antibunching in non-stationary fields and found that they are by no means equivalent. In particular, they may lead to contradictory predictions of the photon antibunching. We consider another violation of the Cauchy-Schwarz inequality in non-classical and non-stationary fields which we term as hyperbunching. Similarly, this leads to three different definitions of hyperbunching in non-stationary fields which, again, are by no means equivalent and may lead to contradictory predictions of this phenomenon. We analyse these different concepts of anti- and hyperbunching in the non-stationary resonance fluorescence from a bichromatically driven two-level atom.