Bright bichromatic entanglement and quantum dynamics of sum frequency generation

Olsen, M. K.; Bradley, Ashton S.

doi:10.1103/physreva.77.023813

Cited by 41 publications

(54 citation statements)

References 48 publications

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“…We note here that these inequalities were rigorously defined by Reid [4] and are the canonical method for demonstrating the EPR paradox in continuous variable systems. Besides being of fundamental interest in quantum theory, asymmetric steering has been suggested as a possible candidate for use in one-way quantum cryptography [13] and could also have potential applications in the field of quantum control.…”

Section: Steering Criteriamentioning

confidence: 99%

Asymmetric Gaussian steering: When Alice and Bob disagree

2010

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Asymmetric steering is an effect whereby an inseparable bipartite system can be found to be described by either quantum mechanics or local hidden variable theories depending on which one of Alice or Bob makes the required measurements. We show that, even with an inseparable bipartite system, situations can arise where Gaussian measurements on one half are not sufficient to answer the fundamental question of which theory gives an adequate description and the whole system must be considered. This phenomenon is possible because of an asymmetry in the definition of the original Einstein-Podolsky-Rosen paradox and in this article we show theoretically that it may be demonstrated, at least in the case where Alice and Bob can only make Gaussian measurements, using the intracavity nonlinear coupler.

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Section: Steering Criteriamentioning

confidence: 99%

Asymmetric Gaussian steering: When Alice and Bob disagree

2010

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“…The down-conversion part of the process, denoted by the effective nonlinearity κ 1 , generates two fields at ω 1 and ω 3 , where ω 0 = ω 1 + ω 3 . The pump field at ω 0 can then combine with the field at ω 3 in a sum frequency generation process [31], to produce a further field at ω 2 , with effective nonlinearity κ 2 . We will use the annihilation operatorŝ a j to describe the fields at ω j for j = 1,2,3.…”

Section: An Asymmetric Systemmentioning

confidence: 99%

Versatility of continuous-variable asymmetric tripartite entanglement allows Alice and Clare to keep secrets from Bob

Olsen¹,

Cavalcanti²

2016

Phys. Rev. A

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The fully symmetric Gaussian tripartite entangled pure states will not exhibit two-mode Einstein-PodolskyRosen (EPR) steering. This means that any two participants cannot share quantum secrets using the security of one-sided device independent quantum key distribution (1SDI-QKD) without involving the third. They are restricted at most to standard quantum key distribution, which is less secure. Here we demonstrate an asymmetric tripartite system that can exhibit bipartite EPR steering, so that two of the participants can use 1SDI-QKD without involving the other. This is possible because the promiscuity relations of continuous-variable tripartite entanglement are different from those of discrete-variable systems. We analyze these properties for two different systems, showing that the asymmetric system exhibits practical properties not found in the symmetric one.

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“…This raised the possibility that the considered state could be asymmetric, with the two observers not agreeing on whether the bipartite system exhibited EPR-steering or not. This asymmetric steering has been predicted in optical [40][41][42] and atomic systems [43], and measured in the laboratory [44], all using Gaussian measurements. It is now established that it is a general property, and may exist for any possible measurements [45].…”

Section: Physical Model Hamiltonian and Equations Of Motionmentioning

confidence: 56%

Quantum behaviour of open pumped and damped Bose–Hubbard trimers

Chianca¹,

Olsen²

2017

Laser Phys.

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We propose and analyse analogs of optical cavities for atoms using three-well inline Bose-Hubbard models with pumping and losses. With one well pumped and one damped, we find that both the mean-field dynamics and the quantum statistics show a qualitative dependence on the choice of damped well. The systems we analyse remain far from equilibrium, although most do enter a steady-state regime. We find quadrature squeezing, bipartite and tripartite inseparability and entanglement, and states exhibiting the EPR paradox, depending on the parameter regimes. We also discover situations where the mean-field solutions of our models are noticeably different from the quantum solutions for the mean fields. Due to recent experimental advances, it should be possible to demonstrate the effects we predict and investigate in this article.

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Bright bichromatic entanglement and quantum dynamics of sum frequency generation

Cited by 41 publications

References 48 publications

Asymmetric Gaussian steering: When Alice and Bob disagree

Asymmetric Gaussian steering: When Alice and Bob disagree

Versatility of continuous-variable asymmetric tripartite entanglement allows Alice and Clare to keep secrets from Bob

Quantum behaviour of open pumped and damped Bose–Hubbard trimers

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