https://doi.org/10.1140/epjd/e2012-20735-y
Regular Article
Tools for detecting entanglement between different degrees of freedom in quadrature squeezed cylindrically polarized modes
1 Max Planck Institute for the Science of Light, Guenther-Scharowsky-Str. 1/Bldg. 24, 91058 Erlangen, Germany
2 Institute of Optics, Information and Photonics, University Erlangen-Nuremberg, Staudtstr. 7/B2, 91058 Erlangen, Germany
a
e-mail: christian.gabriel@mpl.mpg.de
Received: 15 December 2011
Received in final form: 13 April 2012
Published online: 10 July 2012
Quadrature squeezed cylindrically polarized modes contain entanglement not only in the polarization and spatial electric field variables but also between these two degrees of freedom [C. Gabriel et al., Phys. Rev. Lett. 106, 060502 (2011)]. In this paper we present tools to generate and detect this entanglement. Experimentally we demonstrate the generation of quadrature squeezing in cylindrically polarized modes by mode transforming a squeezed Gaussian mode. Specifically, −1.2 dB ± 0.1 dB of amplitude squeezing are achieved in the radially and azimuthally polarized mode. Furthermore, theoretically it is shown how the entanglement contained within these modes can be measured and how strong the quantum correlations are, depending on the measurement scheme.
Key words: Topical issue: High Dimensional Quantum Entanglement. Guest editors: Sonja Franke-Arnold, Alessandra Gatti and Nicolas Treps
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2012