Differences and similarities between lasing and multiple-photon subtracted states
Authors: Lettau T., Leymann HAM.
Autors Affiliation: Friedrich Schiller Univ Jean, Abbe Ctr Photon, Inst Condensed Matter Theory & Solid State Opt, Max Wien Pl 1, D-07743 Jena, Germany; Univ Trento, INO CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy
Abstract: We examine the effect that the subtraction of multiple photons has on the statistical characteristics of a light field. In particular, we are interested in the question whether an initial state transforms into a lasing state, i.e., a (phase-diffused) coherent state, after infinitely many photon subtractions. This question is discussed in terms of the Glauber P representation P(alpha), the photon number distribution P[n], and the experimentally relevant autocorrelation functions g((m)). We show that a thermal state does not converge to a lasing state, although all of its autocorrelation functions at zero delay time converge to one. This contradiction is resolved by the analysis of the involved limits, and a general criterion for an initial state to reach at least such a pseudo-lasing state (g((m)) -> 1) is derived, revealing that they can be generated from a large class of initial states.
Journal/Review: PHYSICAL REVIEW A
Volume: 99 (2) Pages from: 023815-1 to: 023815-7