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Journal of Experimental and Theoretical Physics Letters

Amplification of two-mode squeezed light in the Einstein-Podolsky-Rosen State

В. Н. Горбачев, Andrew I. Trubilko

Published May 1, 2003• 1 citation
Publisher

Abstract

Two schemes for amplifying two-mode squeezed light in the Einstein-Podolsky-Rosen state, where quantum correlations are conserved due to the presence of integrals of motion, while the power of each wave can increase, are considered. The first scheme is based on the parametric three-photon interaction in a transparent nonlinear medium. The second scheme is a variant of the resonance interaction with an atomic ensemble.

DOI
10.1134/1.1591971

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Two schemes for amplifying two-mode squeezed light in the Einstein-Podolsky-Rosen state, where quantum correlations are conserved due to the presence of integrals of motion, while the power of each wave can increase, are considered. The first scheme is based on the parametric three-photon interaction in a transparent nonlinear medium. The second scheme is a variant of the resonance interaction with an atomic ensemble.
Optical processes in which the quantum correlations of squeezed light in an entangled state of the type of an Einstein-Podolsky-Rosen pair or a Greenberger-Horne-Zeilinger triplet will be conserved in consequence of the presence of integrals of motion are considered. For the cases of parametric three-photon interaction in a transparent nonlinear medium and of resonant interaction with an atomic ensemble, it was found that, along with the conservation of the entangled state, the amplification of the light power arises.
Two amplification schemes are considered for entangled squeezed states of light, including an Einstein-Podolsky-Rosen entangled state of continuous variables (EPR pair): propagation in a nonlinear medium and reflection from a cavity. Both schemes make use of a parametric process that can be implemented in a periodic nonlinear medium. The existence of an integral of motion makes it possible to amplify an entangled state of light while preserving the initial entanglement. To analyze the cavity-based scheme, a master equation is derived for the density matrix of the field inside the cavity. The feasibility of amplification that preserves entanglement of an EPR pair is demonstrated for this scheme.
We demonstrate that collective continuous variables of two species of trapped ultracold bosonic gases can be Einstein-Podolsky-Rosen-correlated (entangled) via inherent interactions between the species. We propose two different schemes for creating these correlations--a dynamical scheme and a static scheme analogous to two-mode squeezing in quantum optics. We quantify the correlations by using known measures of entanglement and study the effect of finite temperature on these quantum correlations.
We show that Einstein–Podolsky–Rosen (EPR) light entanglement is obtainable via the resonant nonlinear interactions enhanced by electromagnetically induced transparency. A three-level system is used as a unified model, where two metastable states are coupled to each other via microwave, or Raman, or two-photon transition, and the upper metastable state is coupled to the excited state. A pair of inner sidebands is amplified as optical cavity modes via the transition from the excited state to the other metastable state. The analysis is presented by using the dressed-atom squeezed-transformed-mode approach. For a proper ratio of the amplitudes of the applied fields, the sum of the variances for two EPR-like operators approaches zero, which corresponds to EPR entanglement.