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

Physical Review A

Macroscopic three-mode squeezed and fully inseparable entangled beams from triply coupled intracavity Kerr nonlinearities

Hua-tang Tan, Gao‐xiang Li, Shi-Yao Zhu

Published Jun 15, 2007• 15 citations
Publisher

Abstract

The generation of macroscopic and spatially separated three-mode entangled light for triply coupled ${\ensuremath{\chi}}^{(3)}$ Kerr coupler inside a pumped optical cavity is investigated. With the linearized analysis for small perturbation around the steady state of the pumped cavity modes, the linearized Hamiltonian and the corresponding master equation are obtained. It is found that the bright three-mode squeezing and full inseparable entanglement can be achieved both inside and outside the cavity.

DOI
10.1103/physreva.75.063815

Related papers

Generation of Two-Mode Squeezing and Continuous Variable Entanglement in a Nonlinear Coupler Inside a Optical Cavity

Hua Tan

The generation of two-mode squeezed and entangled light in a nonlinear coupler inside an optical cavity was studied.The master equation of the two-mode field was solved by the method of characteristic function.It shows that the state of the two-mode field is a two-mode Gaussian one,and under some conditions,the two-mode cavity field exhibits stable two-mode squeezing and continuous variable entanglement.The degree of the squeezing and entanglement is dependent on the damping rate of the cavity field and the coupling constants between the two modes.

ACTA PHOTONICA SINICA•Jan 1, 2007•0 citations

Enhancement of Bipartite Entanglement in Three Level Lasers via Kerr Resonator Coupled to Squeezed Vacuum Reservoir

Sisay Belachew, Firomsa Feyissa, Mohammed Kelif

Abstract On this paper, We investigate the generation and enhancement of bipartite entanglement in a three level cascade laser embedded in a Kerr nonlinear resonator and coupled to a squeezed vacuum reservoir. The system dynamics are modeled using a quantum master equation that incorporates atom-field interactions, Kerr nonlinearity, cavity damping, spontaneous emission, and squeezed vacuum effects. Applying the good cavity approximation, the atomic variables are adiabatically eliminated to derive effective cavity-field equations, which are transformed into c-number Langevin equations. Linearization around the steady state yields analytical expressions for second-order moments and the covariance matrix. Bipartite entanglement is quantified using the Duan inseparability criterion and logarithmic negativity. Our numerical results show that stronger Kerr nonlinearity and more squeezing greatly increase quantum correlations, while coherent pumping improves entanglement by boosting atomic coherence.However, higher cavity losses reduce entanglement due to photon loss.These findings highlight Kerr-enhanced cascade lasers with squeezed reservoirs as potential sources of entangled light for engineering bright, highly entangled CV optical sources for quantum key distribution, teleportation, and optical quantum networks.

•Sep 7, 2026•0 citations

Bright entanglement in the intracavity nonlinear coupler

M. K. Olsen

We show that the intracavity Kerr nonlinear coupler is a potential source of bright continuous variable entangled light beams which are tunable and spatially separated. We use a linearized fluctuation analysis to calculate the necessary correlations in regimes where it is valid. This means that we are treating regimes where the system exhibits Gaussian statistics so that well-known criteria are both necessary and sufficient to demonstrate entanglement. This system may be realized with integrated optics and thus provides a potentially rugged and stable source of bright entangled beams.

arXiv:quant-ph/0603037•Physical Review A•May 5, 2006•50 citations

Two-mode optical state truncation and generation of maximally entangled states in pumped nonlinear couplers

Adam Miranowicz, W. Leoński

Schemes for optical-state truncation of two cavity modes are analysed. The systems, referred to as the nonlinear quantum scissors devices, comprise two coupled nonlinear oscillators (Kerr nonlinear coupler) with one or two of them pumped by external classical fields. It is shown that the quantum evolution of the pumped couplers can be closed in a two-qubit Hilbert space spanned by vacuum and single-photon states only. Thus, the pumped couplers can behave as a two-qubit system. Analysis of time evolution of the quantum entanglement shows that Bell states can be generated. A possible implementation of the couplers is suggested in a pumped double-ring cavity with resonantly enhanced Kerr nonlinearities in an electromagnetically-induced transparency scheme. The fragility of the generated states and their entanglement due to the standard dissipation and phase damping are discussed by numerically solving two types of master equations.

arXiv:quant-ph/0603149•Journal of Physics B Atomic Molecular and Optical Physics•Mar 21, 2006•68 citations

The Entanglement and Quadrature Squeezing of a Cavity Light in a Coherently Pumped Atom

We consider a three-level cascade laser in which a coherently driven non-degenerate three-level atom available in a closed cavity coupled to a twomode vacuum reservoir.Applying the interaction Hamiltonian and Heisenberg equation of motion, we analyze the mean photon number, quadrature squeezing, and entanglement properties of the light produced by this quantum optical system inside the cavity.We find that the light generated by this system is in a two-mode squeezed state under certain conditions and the state of the system is weakly entangled at steady state due to the presence of the two-mode vacuum reservoir noise.

Bulgarian Journal of Physics•Sep 21, 2025•0 citations

Entanglement Quantification of Correlated Photons Generated by Three-Level Laser with Parametric Amplifier and Coupled to a Two-Mode Vacuum Reservoir

Chimdessa Gashu Feyisa, Ebisa Mosisa, Tamirat Abebe

In this paper, the detailed inseparability criteria of entanglement quantification of correlated two-mode light generated by a three-level laser with a coherently driven parametric amplifier and coupled to a two-mode vacuum reservoir is thoroughly analyzed. Using the master equation, we obtain the stochastic differential equation and the correlation properties of the noise forces associated with the normal ordering. Next, we study the squeezing and the photon entanglement by considering different inseparability criteria. The various criteria of entanglement used in this paper show that the light generated by the quantum optical system is entangled and the amount of entanglement is amplified by introducing the parametric amplifier into the laser cavity and manipulating the linear gain coefficient.

Advances in Mathematical Physics•May 18, 2020•18 citations
The generation of macroscopic and spatially separated three-mode entangled light for triply coupled \ensuremathχ(3){\ensuremath{\chi}}^{(3)}\ensuremathχ(3) Kerr coupler inside a pumped optical cavity is investigated. With the linearized analysis for small perturbation around the steady state of the pumped cavity modes, the linearized Hamiltonian and the corresponding master equation are obtained. It is found that the bright three-mode squeezing and full inseparable entanglement can be achieved both inside and outside the cavity.
The generation of two-mode squeezed and entangled light in a nonlinear coupler inside an optical cavity was studied.The master equation of the two-mode field was solved by the method of characteristic function.It shows that the state of the two-mode field is a two-mode Gaussian one,and under some conditions,the two-mode cavity field exhibits stable two-mode squeezing and continuous variable entanglement.The degree of the squeezing and entanglement is dependent on the damping rate of the cavity field and the coupling constants between the two modes.
Abstract On this paper, We investigate the generation and enhancement of bipartite entanglement in a three level cascade laser embedded in a Kerr nonlinear resonator and coupled to a squeezed vacuum reservoir. The system dynamics are modeled using a quantum master equation that incorporates atom-field interactions, Kerr nonlinearity, cavity damping, spontaneous emission, and squeezed vacuum effects. Applying the good cavity approximation, the atomic variables are adiabatically eliminated to derive effective cavity-field equations, which are transformed into c-number Langevin equations. Linearization around the steady state yields analytical expressions for second-order moments and the covariance matrix. Bipartite entanglement is quantified using the Duan inseparability criterion and logarithmic negativity. Our numerical results show that stronger Kerr nonlinearity and more squeezing greatly increase quantum correlations, while coherent pumping improves entanglement by boosting atomic coherence.However, higher cavity losses reduce entanglement due to photon loss.These findings highlight Kerr-enhanced cascade lasers with squeezed reservoirs as potential sources of entangled light for engineering bright, highly entangled CV optical sources for quantum key distribution, teleportation, and optical quantum networks.
We show that the intracavity Kerr nonlinear coupler is a potential source of bright continuous variable entangled light beams which are tunable and spatially separated. We use a linearized fluctuation analysis to calculate the necessary correlations in regimes where it is valid. This means that we are treating regimes where the system exhibits Gaussian statistics so that well-known criteria are both necessary and sufficient to demonstrate entanglement. This system may be realized with integrated optics and thus provides a potentially rugged and stable source of bright entangled beams.
Schemes for optical-state truncation of two cavity modes are analysed. The systems, referred to as the nonlinear quantum scissors devices, comprise two coupled nonlinear oscillators (Kerr nonlinear coupler) with one or two of them pumped by external classical fields. It is shown that the quantum evolution of the pumped couplers can be closed in a two-qubit Hilbert space spanned by vacuum and single-photon states only. Thus, the pumped couplers can behave as a two-qubit system. Analysis of time evolution of the quantum entanglement shows that Bell states can be generated. A possible implementation of the couplers is suggested in a pumped double-ring cavity with resonantly enhanced Kerr nonlinearities in an electromagnetically-induced transparency scheme. The fragility of the generated states and their entanglement due to the standard dissipation and phase damping are discussed by numerically solving two types of master equations.
We consider a three-level cascade laser in which a coherently driven non-degenerate three-level atom available in a closed cavity coupled to a twomode vacuum reservoir.Applying the interaction Hamiltonian and Heisenberg equation of motion, we analyze the mean photon number, quadrature squeezing, and entanglement properties of the light produced by this quantum optical system inside the cavity.We find that the light generated by this system is in a two-mode squeezed state under certain conditions and the state of the system is weakly entangled at steady state due to the presence of the two-mode vacuum reservoir noise.
In this paper, the detailed inseparability criteria of entanglement quantification of correlated two-mode light generated by a three-level laser with a coherently driven parametric amplifier and coupled to a two-mode vacuum reservoir is thoroughly analyzed. Using the master equation, we obtain the stochastic differential equation and the correlation properties of the noise forces associated with the normal ordering. Next, we study the squeezing and the photon entanglement by considering different inseparability criteria. The various criteria of entanglement used in this paper show that the light generated by the quantum optical system is entangled and the amount of entanglement is amplified by introducing the parametric amplifier into the laser cavity and manipulating the linear gain coefficient.