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

OSA Advanced Photonics Congress

Continuous Variable Entanglement in Lossy Coupled Resonator Optical Waveguides

Hossein Seifoory, Marc M. Dignam

Published Jan 1, 2018• 0 citations
Publisher

Abstract

We analytically evaluate the time-dependant cross-correlation between the photons in different cavities in a lossy, coupled resonator optical waveguide to evaluate the evolution of quantum entanglement in the presence of loss.
DOI
10.1364/bgppm.2018.jtu5a.13

Related papers

Squeezed-state evolution and entanglement in lossy coupled-resonator optical waveguides

Hossein Seifoory, Marc M. Dignam

We investigate theoretically the temporal evolution of a squeezed state in lossy coupled-cavity systems. We present a general formalism based upon the tight-binding approximation and apply this to a two-cavity system as well as to a coupled-resonator optical waveguide in a photonic crystal. We derive analytical expressions for the number of photons and the quadrature noise in each cavity as a function of time when the initial excited state is a squeezed state in one of the cavities. We also analytically evaluate the time-dependent cross correlation between the photons in different cavities to evaluate the degree of quantum entanglement. We demonstrate that loss in such coupled-cavity systems cannot be treated using simple exponential factors. Finally, we also derive approximate analytic expressions for the maximum photon number, maximum squeezing, and maximum entanglement for cavities far from the initially excited cavity in a lossless coupled-resonator optical waveguide.

arXiv:1710.08519•Physical Review A•Feb 26, 2018•9 citations

Continuous-variable entangled states in a lossy CROW

Hossein Seifoory, L. G. Helt, John E. Sipe +1 more

We theoretically model the counterpropagating entangled states generated in vertically-pumped, lossy, coupled resonator optical waveguides and use the model to investigate the effects of the loss on the propagation of the entangled states for different pump parameters.

Photonics North (PN)•May 1, 2019•0 citations

Counterpropagating continuous-variable entangled states in lossy coupled-cavity optical waveguides

Hossein Seifoory, L. G. Helt, John E. Sipe +1 more

We present an integrated source of counterpropagating entangled states based on a coupled resonator optical waveguide that is pumped by a classical pulsed source incident from above the waveguide. We investigate theoretically the generation and propagation of continuous-variable entangled states in this coupled-cavity system in the presence of intrinsic loss. Using a tight-binding approximation, we derive analytic time-dependent expressions for the number of photons in each cavity, as well as for the correlation variance between the photons in different pairs of cavities, to evaluate the degree of quantum entanglement. We also derive simple approximate expressions for these quantities that can be used to guide the design of such systems, and discuss how pumping configurations and physical properties of the system affect the photon statistics and the degree of quantum correlation.

arXiv:1905.11542•Physical Review A•Sep 30, 2019•5 citations

Quantum correlations of two qubits beyond entanglement in two lossy cavities linked by a waveguide

A.‐B. A. Mohamed, H. A. Hessian, Hichem Eleuch

Chaos Solitons & Fractals•Apr 12, 2020•11 citations

A general approach to model counterpropagating continuous variable entangled states in a lossy CROW

Hossein Seifoory, Marc M. Dignam

We present a general approach to model an integrated source of counterpropagating continuous-variable entangled states based on a coupled-resonator optical waveguide that is pumped by a classical pulsed source incident from above the waveguide. This paper is an extension of our previous work~(Ref. \cite{PhysRevA.100.033839}), where we analytically investigated the generation and propagation of continues-variable entangled states in this coupled-cavity system in the presence of intrinsic loss. However, in this work, we employ a numerical method to implement the Schmidt decomposition method rather than pursuing analytical methods. We show that not only this gives us a much higher degree of freedom in choosing the pumping parameters which were not possible to investigate analytically, but also it enables us to go beyond some of the approximations we had made to derive analytical expressions before.

arXiv:2012.00208•Dec 1, 2020•0 citations

Continuous-variable entanglement in a two-mode lossy cavity: An analytic solution

Colin Vendromin, Marc M. Dignam

Continuous-variable (CV) entanglement is a valuable resource in the field of quantum information. One source of CV entanglement is the correlations between the position and momentum of photons in a two-mode squeezed state of light. In this paper, we theoretically study the generation of squeezed states, via spontaneous parametric down conversion, inside a two-mode lossy cavity that is pumped with a classical optical pulse. The dynamics of the density operator in the cavity is modeled using the Lindblad master equation, and we show that the solution to this model is the density operator for a two-mode squeezed thermal state, with a time-dependent squeezing amplitude and average thermal photon number for each mode. We derive an expression for the minimum correlation variance inside the cavity that depends crucially on the difference in the losses between the two modes. We apply our analytic solution to the important example of a microring resonator that is pumped with a Gaussian pulse. The expressions that we derive will help researchers optimize CV entanglement in lossy cavities.

arXiv:2012.01523•Physical Review A•Feb 17, 2021•17 citations
We investigate theoretically the temporal evolution of a squeezed state in lossy coupled-cavity systems. We present a general formalism based upon the tight-binding approximation and apply this to a two-cavity system as well as to a coupled-resonator optical waveguide in a photonic crystal. We derive analytical expressions for the number of photons and the quadrature noise in each cavity as a function of time when the initial excited state is a squeezed state in one of the cavities. We also analytically evaluate the time-dependent cross correlation between the photons in different cavities to evaluate the degree of quantum entanglement. We demonstrate that loss in such coupled-cavity systems cannot be treated using simple exponential factors. Finally, we also derive approximate analytic expressions for the maximum photon number, maximum squeezing, and maximum entanglement for cavities far from the initially excited cavity in a lossless coupled-resonator optical waveguide.
We present an integrated source of counterpropagating entangled states based on a coupled resonator optical waveguide that is pumped by a classical pulsed source incident from above the waveguide. We investigate theoretically the generation and propagation of continuous-variable entangled states in this coupled-cavity system in the presence of intrinsic loss. Using a tight-binding approximation, we derive analytic time-dependent expressions for the number of photons in each cavity, as well as for the correlation variance between the photons in different pairs of cavities, to evaluate the degree of quantum entanglement. We also derive simple approximate expressions for these quantities that can be used to guide the design of such systems, and discuss how pumping configurations and physical properties of the system affect the photon statistics and the degree of quantum correlation.
We present a general approach to model an integrated source of counterpropagating continuous-variable entangled states based on a coupled-resonator optical waveguide that is pumped by a classical pulsed source incident from above the waveguide. This paper is an extension of our previous work~(Ref. \cite{PhysRevA.100.033839}), where we analytically investigated the generation and propagation of continues-variable entangled states in this coupled-cavity system in the presence of intrinsic loss. However, in this work, we employ a numerical method to implement the Schmidt decomposition method rather than pursuing analytical methods. We show that not only this gives us a much higher degree of freedom in choosing the pumping parameters which were not possible to investigate analytically, but also it enables us to go beyond some of the approximations we had made to derive analytical expressions before.
Continuous-variable (CV) entanglement is a valuable resource in the field of quantum information. One source of CV entanglement is the correlations between the position and momentum of photons in a two-mode squeezed state of light. In this paper, we theoretically study the generation of squeezed states, via spontaneous parametric down conversion, inside a two-mode lossy cavity that is pumped with a classical optical pulse. The dynamics of the density operator in the cavity is modeled using the Lindblad master equation, and we show that the solution to this model is the density operator for a two-mode squeezed thermal state, with a time-dependent squeezing amplitude and average thermal photon number for each mode. We derive an expression for the minimum correlation variance inside the cavity that depends crucially on the difference in the losses between the two modes. We apply our analytic solution to the important example of a microring resonator that is pumped with a Gaussian pulse. The expressions that we derive will help researchers optimize CV entanglement in lossy cavities.