Non-Gaussian continuous-variable entanglement and steering

Olsen, M. K.; Corney, J. F.

doi:10.1103/physreva.87.033839

Cited by 44 publications

(41 citation statements)

References 38 publications

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“…The nonlinear interaction, known from previous work to produce squeezing [36] and non-Gaussian entanglement and EPR steering [37], degrades the chosen quantum correlations in this system. In the nonlinear coupler [38], comprising two evanescently coupled Kerr waveguides in an optical cavity, the nonlinearity creates the necessary quantum states since the cavity is pumped with a coherent input.…”

Section: Resultsmentioning

confidence: 91%

“…In quantum optics, as illustrated in Ref. [37], one simple method of obtaining entanglement is to put a coherent state through a nonlinear interaction so as to produce a quantum state of the electromagnetic field, such as a squeezed state. This can then be mixed on a beamsplitter, either with vacuum or another quantum state, with the outputs being entangled [39].…”

Section: Resultsmentioning

confidence: 99%

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Ultracold atomic mode splitter for the entanglement of separated atomic samples

Chianca

Olsen

2015

Phys. Rev. A

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We propose and analyze the use of a three-well Bose-Hubbard model for the creation of two spatially separated entangled atomic samples. Our three wells are in a linear configuration, with all atoms initially in the middle well, which gives some spatial separation of the two end wells. The evolution from the initial quantum state allows for the development of entanglement between the atomic modes in the two end wells. We show how the detected entanglement and the well occupations are time dependent. We propose a method for preserving the entanglement by turning off the different interactions when it reaches its first maximum. We analyze the system with both Fock and coherent initial states, showing that the violations of the chosen inequality exist only for initial Fock states and that the collisional nonlinearity degrades them. This system is a preliminary step towards producing entangled atomic samples that can be spatially separated using recently developed methods of potential manipulation and thus help close the locality loophole in tests of quantum mechanics.

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Section: Resultsmentioning

confidence: 91%

Section: Resultsmentioning

confidence: 99%

Ultracold atomic mode splitter for the entanglement of separated atomic samples

Chianca

Olsen

2015

Phys. Rev. A

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“…6 where consider an initial coherent state and find a violation of Duan-Simon inequalities at short times. We note that using time dependent quadrature angles can maximise the violations, as shown previously for Kerr-squeezed optical states mixed on a beamsplitter [39,40], but we have not considered this here since the inseparability signal for the canonical quadratures is so weak. In any case, even an optimisation of the quadrature angles still finds no violation of the inequalities after a short time.…”

Section: Numerical Solutionsmentioning

confidence: 97%

Mesoscopic entanglement via a three-well Bose–Hubbard system and comparison with an optical beamsplitter

Olsen¹

2016

Optics Communications

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Abstract.We compare and contrast the entangling properties of a three-well Bose-Hubbard model and an optical beamsplitter. The coupling between the different modes is linear in both cases, and we may identify two output modes. Obvious differences are that our Bose-Hubbard model, with only the middle well initially occupied, does not have a vacuum input port, there is no equivalent of a collisional, χ (3) nonlinearity with the beamsplitter, and the results of the Bose-Hubbard model show a timedependence. In the non-interacting case, we obtain analytic solutions and show that, like a beamsplitter, the Bose-Hubbard system will not produce entanglement for classical initial states. We also show that whether inseparability or entanglement are detected depends sensitively on the criteria measured, with different criteria giving contradictory predictions.

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“…The inclusion of finite χ , with the attendant phase diffusion [15,19,31] and shearing of the Wigner function [32] to give non-Gaussian statistics, will act to decrease these values. The current from well 1 into well 2 is defined as…”

Section: Quantities Of Interestmentioning

confidence: 99%

Quantum correlations in pumped and damped Bose-Hubbard dimers

2016

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We propose and analyze two-well Bose-Hubbard models with pumping and losses, finding that these models, with damping and loss able to be added independently to each well, offer a flexibility not found in optical coupled cavity systems. With one well pumped, we find that both the mean-field dynamics and the quantum statistics show a quantitative dependence on the choice of damped well. Both the systems we analyze remain far from equilibrium, preserving good coherence between the wells in the steady state. We find a degree of quadrature squeezing and mode entanglement in these systems. Due to recent experimental advances, it should be possible to demonstrate the effects we investigate and predict.

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Non-Gaussian continuous-variable entanglement and steering

Cited by 44 publications

References 38 publications

Ultracold atomic mode splitter for the entanglement of separated atomic samples

Ultracold atomic mode splitter for the entanglement of separated atomic samples

Mesoscopic entanglement via a three-well Bose–Hubbard system and comparison with an optical beamsplitter

Quantum correlations in pumped and damped Bose-Hubbard dimers

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