Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics and Spectroscopy

Conservation of quantum correlations of squeezed light in the process of nonlinear interactions

В. Н. Горбачев, Andrew I. Trubilko

Published Jun 8, 2004• 0 citations
Publisher

Abstract

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.

DOI
10.1134/1.1753633

Related papers

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

В. Н. Горбачев, Andrew I. Trubilko

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.

Journal of Experimental and Theoretical Physics Letters•May 1, 2003•1 citation

On Amplification of Light in the Continuous EPR State

В. Н. Горбачев, Andrew I. Trubilko

Two schemes of amplification of two-mode squeezed light in the continuous variable EPR-state are considered. They are based on the integrals of motion, which allow conserving quantum correlations whereas the power of each mode may increase. One of these schemes involves a three-photon parametric process in a nonlinear transparent medium and the other is a Raman type interaction of light with atomic ensemble. A generalization to multimode squeezed light is discussed.

arXiv:quant-ph/0303164•International Journal of Quantum Information•Jun 1, 2003•2 citations

Amplification of entangled states of squeezed light

В. Н. Горбачев, Andrew I. Trubilko

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.

Journal of Experimental and Theoretical Physics•Aug 1, 2007•2 citations

Triple photons: a challenge in nonlinear and quantum optics

Kamel Bencheikh, Fabien Gravier, Julien Douady +2 more

This article is devoted to the generation and the quantum correlations of triple photons, which correspond to the creation of three highly correlated photons from the splitting of a single photon by a phase-matched third-order parametric nonlinear process. These triples constitute a Greenberger–Horne–Zeilinger state of light and are interesting from a fundamental point of view but also for new schemes of quantum cryptography. We give here the classical and quantum descriptions of triple photon generation, we report on the first experimental demonstration of such a generation, and we calculate the Wigner function of three-photon quantum states of light.

Comptes Rendus Physique•Sep 15, 2006•59 citations

Multiparticle entanglement via resonant interaction between light and atomic ensembles

В. Н. Горбачев, Andrew I. Trubilko

Multiparticle entangled states generated via interaction between narrowband light and an ensemble of identical two-level atoms are considered. Depending on the initial photon statistics, correlation between atoms and photons can give rise to entangled states of these systems. It is found that the state of any pair of atoms interacting with weak single-mode squeezed light is inseparable and robust against decay. Optical schemes for preparing entangled states of atomic ensembles by projective measurement are described.

arXiv:quant-ph/0507062•Journal of Experimental and Theoretical Physics•Jul 1, 2005•3 citations

Macroscopic entangled states

В. Н. Горбачев, Alexander Ya. Kazakov, Andrew I. Trubilko

The interaction between an ensemble of two-level identical atoms and three-mode light when one of the modes is classical and its Rabi frequency far exceeds the effective Rabi frequencies of the remaining quantized modes is considered. An effective Hamiltonian that describes a process like non-degenerate down conversion is found and the statistics of the quantized modes is discussed with the use of an exact solution of the Schrodinger equation for a field in the Fock–Bargmann representation. It is found that the occupation number of each quantized mode can depend exponentially on the number of atoms and the light state may be squeezed. The squeezing obtained is nearly perfect and results in a continuous analogue of the maximally entangled Einstein–Podolski–Rosen state of the light with a macroscopically large number of photons.

Journal of Optics B Quantum and Semiclassical Optics•Oct 23, 2004•1 citation
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.
This article is devoted to the generation and the quantum correlations of triple photons, which correspond to the creation of three highly correlated photons from the splitting of a single photon by a phase-matched third-order parametric nonlinear process. These triples constitute a Greenberger–Horne–Zeilinger state of light and are interesting from a fundamental point of view but also for new schemes of quantum cryptography. We give here the classical and quantum descriptions of triple photon generation, we report on the first experimental demonstration of such a generation, and we calculate the Wigner function of three-photon quantum states of light.
Multiparticle entangled states generated via interaction between narrowband light and an ensemble of identical two-level atoms are considered. Depending on the initial photon statistics, correlation between atoms and photons can give rise to entangled states of these systems. It is found that the state of any pair of atoms interacting with weak single-mode squeezed light is inseparable and robust against decay. Optical schemes for preparing entangled states of atomic ensembles by projective measurement are described.
The interaction between an ensemble of two-level identical atoms and three-mode light when one of the modes is classical and its Rabi frequency far exceeds the effective Rabi frequencies of the remaining quantized modes is considered. An effective Hamiltonian that describes a process like non-degenerate down conversion is found and the statistics of the quantized modes is discussed with the use of an exact solution of the Schrodinger equation for a field in the Fock–Bargmann representation. It is found that the occupation number of each quantized mode can depend exponentially on the number of atoms and the light state may be squeezed. The squeezing obtained is nearly perfect and results in a continuous analogue of the maximally entangled Einstein–Podolski–Rosen state of the light with a macroscopically large number of photons.