Entanglement and squeezing of continuous-wave stationary light

TL;DR

This paper systematically analyzes the entanglement and squeezing properties of spectral components in continuous stationary light fields, establishing a direct link between spectral measurements and quantum entanglement quantification.

Contribution

It clarifies the relationship between spectral correlations and entanglement measures, and demonstrates that spectral spectrum measurements directly quantify entanglement in stationary fields.

Findings

Spectral components of continuous squeezed fields are entangled.

Homodyne and heterodyne spectral measurements directly measure logarithmic negativity.

Application to ponderomotive squeezing illustrates the theoretical framework.

Abstract

Spectral components of continuous squeezed fields are entangled. In this article we review and clarify this phenomenon by analyzing systematically the relations between the correlations of modes filtered from stationary continuous fields and the cross power spectrum between the operators of the corresponding spectral components. Moreover, we study the specific spectral components that are filtered in homodyne or heterodyne detections and their entanglement properties. In particular, we establish the equivalence between two-mode squeezing variance and logarithmic negativity for the spectral components of continuous stationary fields, thereby demonstrating that the measurement of the homodyne or heterodyne spectrum is, in fact, a direct measurement of the logarithmic negativity between specific spectral modes. As an illustrative example, we apply these concepts to the analysis of entanglement in ponderomotive squeezing.