Quantum correlations in second harmonic generation with a detuned cavity

Olsen, M. K.; Granja, Silvio Cesar Garcia; Horowicz, R. J.

doi:10.1016/s0030-4018(99)00157-1

Cited by 18 publications

(19 citation statements)

References 25 publications

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“…with the Heisenberg uncertainty principle requiring that V (X i )V (Ŷ i ) ≥ 1. We note here that any cavity detuning or Kerr interaction can change the quadrature angle at which the best quantum correlations are found [31,32], but this is not generally the case for a resonant cavity with χ (2) interactions.…”

Section: Detection Of Tripartite Entanglementmentioning

confidence: 81%

Tripartite entanglement and threshold properties of coupled intracavity down-conversion and sum-frequency generation

2007

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The process of cascaded downconversion and sum-frequency generation inside an optical cavity has been predicted to be a potential source of three-mode continuous-variable entanglement. When the cavity is pumped by two fields, the threshold properties have been analysed, showing that these are more complicated than in well-known processes such as optical parametric oscillation. When there is only a single pumping field, the entanglement properties have been calculated using a linearised fluctuation analysis, but without any consideration of the threshold properties or critical operating points of the system. In this work we extend this analysis to demonstrate that the singly pumped system demonstrates a rich range of threshold behaviour when quantisation of the pump field is taken into account and that asymmetric polychromatic entanglement is available over a wide range of operational parameters.

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Section: Detection Of Tripartite Entanglementmentioning

confidence: 81%

Tripartite entanglement and threshold properties of coupled intracavity down-conversion and sum-frequency generation

2007

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“…When θ = 0, this is usually known as the X, or amplitude, quadrature, and when θ = π/2, it is usually known as the Y , or phase, quadrature. In this work, all the correlations we present involve the X and Y quadratures, which would not be the case if our cavities were not resonant at all relevant frequencies [40].…”

Section: Quantum Correlations In the Traveling-wave Configurationsmentioning

confidence: 94%

Third-harmonic entanglement and Einstein-Podolsky-Rosen steering over a frequency range of more than an octave

Olsen

2018

Phys. Rev. A

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The development of quantum technologies which use quantum states of the light field interacting with other systems creates a demand for such states over wide frequency ranges. In this work we compare the bipartite entanglement and Einstein-Podolsky-Rosen (EPR) -steering properties of the two different parametric schemes which produce third-harmonic optical fields from an input field at the fundamental frequency. The first scheme uses second harmonic cascaded with sum-frequency generation, while the second uses triply degenerate fourwave mixing, also known as direct third-harmonic generation. We find that both schemes produce continuousvariable bipartite entanglement and EPR steering over a frequency range which has previously been unobtainable. The direct scheme produces a greater degree of EPR steering, while the cascaded scheme allows for greater flexibility in having three available bipartitions, thus allowing for greater flexibility in the tailoring of light matter interfaces. There are also parameter regimes in both for which classical mean-field analyses fail to predict the mean-field solutions. Both schemes may be very useful for applications in quantum communication and computation networks, as well as providing for quantum interfaces between a wider range of light and atomic ensembles than is presently practicable.

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“…This is different from the cases with coupled χ (2) interactions, where setting the detunings equal in strength to the evanescent couplings meant that the optimal correlations were found for zero quadrature angle [8,9]. It happens because the χ (3) interaction itself also changes the quadrature angles at which the optimal correlations may be measured [26], acting in some sense as an intensity dependent detuning [27]. In principle it may be possible to dynamically control the detuning, coupling and intensities so that the largest violations of the inequalities were found for θ = 0, although we will not investigate this further because it is relatively simple to control the phase of local oscillators to choose the appropriate angles.…”

Section: Entanglement Criteriamentioning

confidence: 97%

Bright entanglement in the intracavity nonlinear coupler

Olsen

2006

Phys. Rev. A

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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.

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Quantum correlations in second harmonic generation with a detuned cavity

Cited by 18 publications

References 25 publications

Tripartite entanglement and threshold properties of coupled intracavity down-conversion and sum-frequency generation

Tripartite entanglement and threshold properties of coupled intracavity down-conversion and sum-frequency generation

Third-harmonic entanglement and Einstein-Podolsky-Rosen steering over a frequency range of more than an octave

Bright entanglement in the intracavity nonlinear coupler

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