Nonclassical states of light with a smooth P function

François Damanet, Jonas Kübler, John Martin, and Daniel Braun
Phys. Rev. A 97, 023832 – Published 21 February 2018

Abstract

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 P function. Almost all known nonclassical states have P 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 P functions. They are constructed by “puncturing” regular smooth positive P 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.

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  • Received 12 December 2017

DOI:https://doi.org/10.1103/PhysRevA.97.023832

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

François Damanet1,2, Jonas Kübler3, John Martin2, and Daniel Braun3

  • 1Department of Physics and SUPA, University of Strathclyde, Glasgow G4 0NG, United Kingdom
  • 2Institut de Physique Nucléaire, Atomique et de Spectroscopie, CESAM, Université de Liège, Bâtiment B15, B-4000 Liège, Belgium
  • 3Institut für theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany

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Issue

Vol. 97, Iss. 2 — February 2018

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