Quantifying Nonclassicality of One-Mode Gaussian States of the Radiation Field

Paulina Marian; Tudor A. Marian; Horia Scutaru

doi:10.1103/PhysRevLett.88.153601

Quantifying Nonclassicality of One-Mode Gaussian States of the Radiation Field

Paulina Marian, Tudor A. Marian, and Horia Scutaru

Phys. Rev. Lett. 88, 153601 – Published 28 March 2002

Abstract

We define the degree of nonclassicality of a one-mode Gaussian state of the quantum electromagnetic field in terms of the Bures distance between the state and the set of all classical one-mode Gaussian states. We find the closest classical Gaussian state and the degree of nonclassicality using a recently established expression for the Uhlmann fidelity of two single-mode Gaussian states. The decrease of nonclassicality under thermal mapping is carefully analyzed. Along the same lines, we finally present the evolution of nonclassicality during linear amplification.

Received 28 August 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.153601

Authors & Affiliations

Paulina Marian^*

Institute for Theoretical Atomic and Molecular Physics, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138

Tudor A. Marian^†

Institute for Theoretical Atomic and Molecular Physics, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138

Horia Scutaru

Center for Advanced Studies in Physics of the Romanian Academy, Calea 13 Septembrie 13, R-76117 Bucharest, Romania

^*Permanent address: Laboratory of Physics, Department of Chemistry, University of Bucharest, Boulevard Regina Elisabeta 4-12, R-70346 Bucharest, Romania.
^†Permanent address: Department of Physics, University of Bucharest, P.O. Box MG-11, R-76900 Bucharest-Măgurele, Romania.