Photon-number entangled states generated in Kerr media with optical parametric pumping

Kowalewska-Kudłaszyk, A.; Leoński, W.; Peřina, Jan

doi:10.1103/physreva.83.052326

Cited by 50 publications

(33 citation statements)

References 60 publications

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“…The spreading of correlations and entanglement after a sudden parameter change, investigated by Lauchli and Kollath [19], and the development of entanglement between the two ends of a chain, analyzed by Reslen and Bose [20], are particularly relevant to the present work. In the two-well case, there are also similarities to optical systems with coupled Kerr media, shown to produce nonclassical states in both the traveling wave [21,22] and the intracavity regimes [23].…”

Section: Introductionmentioning

confidence: 95%

Spreading of entanglement and steering along small Bose-Hubbard chains

Olsen

2015

Phys. Rev. A

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We investigate how entanglement spreads along small Bose-Hubbard chains, with only the first well initially occupied by a mesoscopic number of atoms, as the number of sites increases. For two-and three-well chains in the noninteracting case, we are able to obtain analytical solutions and show that the presence of entanglement depends on having a sub-Poissonian state of the atoms in the first well. In these cases, the correlations we calculate are completely periodic. Restoring the collisional interactions or moving to a four-well chain necessitates a numerical treatment, for which we use the fully quantum positive-P representation. We examine two different correlations and find that adding collisional interactions destroys the periodicity of the correlations and causes them to degrade with time. This happens well before there is a noticeable effect on the periodicity of the solutions for the number of atoms in each well.

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Section: Introductionmentioning

confidence: 95%

Spreading of entanglement and steering along small Bose-Hubbard chains

Olsen

2015

Phys. Rev. A

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“…For instance, they were concerning generation of various quantum states of the field [1][2][3][4], quantum-optical properties of nonlinear structures [5][6][7] Moreover, nonlinear oscillator models were considered in a context of Einstein-Podolsky-Rosen paradox [8], construction various models of quantum nonlinear scissors (QNS) [9][10][11][12][13][14][15][16] or photon (phonon) blockade [17,18]. In this paper we shall concentrate on a new model involving two quantum nonlinear oscillators that behaves as qubit-qubit system and allow for generation of Bell states.…”

Section: Introductionmentioning

confidence: 99%

Kicked nonlinear quantum scissors and entanglement generation

Kowalewska-Kudłaszyk¹,

Leoński²,

Nguyen³

et al. 2014

Phys. Scr.

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We consider a nonlinear coupler with two Kerr-like oscillators mutually coupled by continuous linear interaction and excited by a series of ultra-short external pulses. We show that the system behaves as nonlinear quantum scissors. It evolves such a way that it can be treated as qubit-qubit system. We derive analytic formulas for the probabilities of the states involved in the system's evolution and show that they differ from those already discussed in the literature and corresponding to the continuously excited models. Moreover, for model discussed here, maximally entangled Bell states can be generated with high efficiency.

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“…The type of state produced and the level of nonlinearity required to produce it are in contrast to those of the "quantum scissors" method of engineering photonnumber entanglement by means of parametric interactions and giant Kerr nonlinearities [15,16]. Despite the successful demonstration of the Kerr-squeezing approach [17], the nonGaussian character of these entangled states has not, to our knowledge, been explicitly demonstrated.…”

Section: Introductionmentioning

confidence: 70%

Non-Gaussian continuous-variable entanglement and steering

Olsen

Corney

2013

Phys. Rev. A

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Two Kerr-squeezed optical beams can be combined in a beam splitter to produce non-Gaussian continuousvariable entangled states. We characterize the non-Gaussian nature of the output by calculating the third-order cumulant of quadrature variables and predict the level of entanglement that could be generated by evaluating the Duan-Simon and Reid Einstein-Podolsky-Rosen criteria. These states have the advantage over Gaussian states and non-Gaussian measurement schemes in that the well known, efficient, and proven technology of homodyne detection may be used for their characterization. A physical demonstration maintaining the important features of the model could be realized using optical fibers, beam splitters, and homodyne detection.

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Photon-number entangled states generated in Kerr media with optical parametric pumping

Cited by 50 publications

References 60 publications

Spreading of entanglement and steering along small Bose-Hubbard chains

Spreading of entanglement and steering along small Bose-Hubbard chains

Kicked nonlinear quantum scissors and entanglement generation

Non-Gaussian continuous-variable entanglement and steering

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