[en] There is a common understanding in quantum optics that nonclassical states of light are states that do not have a positive semidefinite and sufficiently regular Glauber-Sudarshan function. Almost all known nonclassical states have functions that are highly irregular, which makes working with them difficult and direct experimental reconstruction impossible. Here we introduce classes of nonclassical states with regular, non-positive-definite functions. They are constructed by “puncturing” regular smooth positive functions with negative Dirac-δ peaks or other sufficiently narrow smooth negative functions. We determine the parameter ranges for which such punctures are possible without losing the positivity of the state, the regimes yielding antibunching of light, and the expressions of the Wigner functions for all investigated punctured states. Finally, we propose some possible experimental realizations of such states.
Disciplines :
Physics
Author, co-author :
Damanet, François ; Université de Liège - ULiège > Département de physique > Optique quantique
Kübler, Jonas; Institut für theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany
Martin, John ; Université de Liège - ULiège > Département de physique > Optique quantique
Braun, Daniel; Institut für theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany
Language :
English
Title :
Nonclassical states of light with a smooth P function
Publication date :
February 2018
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
ISSN :
1050-2947
eISSN :
1094-1622
Publisher :
American Physical Society, United States - Maryland
Volume :
97
Pages :
023832
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
Funders :
CÉCI - Consortium des Équipements de Calcul Intensif [BE]
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