Differences and similarities between lasing and multiple-photon subtracted states

Year: 2019

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(?), 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.


Volume: 99 (2)      Pages from: 023815-1  to: 023815-7

More Information: We are very grateful to I. Carusotto for his comments on the manuscript and for fruitful discussions with U. Peschel, S. Barnett, and M. Gerhold. H.A.M.L. acknowledges financial support from the European Union FET-Open Grant No. MIR-BOSE 737017.
DOI: 10.1103/PhysRevA.99.023815

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