Quantum statistics and dynamics of Kerr nonlinear couplers

Korolkova, Natalia; Peřina, Jan

doi:10.1016/s0030-4018(96)00676-1

Cited by 73 publications

(59 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Wiseman et al also raised the very interesting question of whether there could be asymmetric states which could be steerable by one party but not the other. In this article we answer this question in the affirmative for mixed states and Gaussian measurements [5,6], showing that this effect can potentially be realized using the intracavity nonlinear coupler [7,8]. We note here that it remains an open question whether some form of nonGaussian measurement is possible on this system which could demonstrate symmetric steering and also that this is a difficult question to give a general answer to in the case of mixed states.…”

Section: Introductionmentioning

confidence: 66%

See 1 more Smart Citation

Asymmetric Gaussian steering: When Alice and Bob disagree

2010

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 66%

“…Having established the inequality which we must satisfy, we now turn our attention to the two-mode system known as the intracavity Kerr nonlinear coupler [7,8]. This is a device consisting of two nonlinear χ (3) media coupled by an evanescent overlap of the guided modes inside optical cavities.…”

Section: Physical Systemmentioning

confidence: 99%

Asymmetric Gaussian steering: When Alice and Bob disagree

2010

View full text Add to dashboard Cite

show abstract

“…The Bell-like states (13) are maximally entangles, however, they are not the only entangled states that could be produced by the system. Therefore, to measure the entanglement degree of the system we apply the measure that is referred to as the concurrence.…”

Section: Coupler and Entanglementmentioning

confidence: 99%

Kerr nonlinear coupler and entanglement

Leoński¹,

Miranowicz²

2004

J. Opt. B: Quantum Semiclass. Opt.

101

104

View full text Add to dashboard Cite

We discuss a model comprising two coupled nonlinear oscillators (Kerr-like nonlinear coupler) with one of them pumped by an external coherent excitation. Applying the method of nonlinear quantum scissors we show that the quantum evolution of the coupler can be closed within a finite set of n-photon Fock states. Moreover, we show that the system is able to generate Bell-like states and, as a consequence, the coupler discussed behaves as a two-qubit system. We also analyze the effects of dissipation on entanglement of formation parametrized by concurrence.

show abstract

“…We note that the two-mode approximate Hamiltonian has the same form of that of a two-mode nonlinear optical directional coupler [28]. It can not be exactly solved, but a closed analytical solution can be obtained under the rotating wave approximation suggested by Alodjanc et al [29].…”

Section: Two Bose-einstein Condensates With Tunneling Couplingmentioning

confidence: 99%

Decoherence in two Bose-Einstein condensates

et al. 1999

View full text Add to dashboard Cite

In this paper, decoherence in a system consisting of two Bose-Einstein condensates is investigated analytically. It is indicated that decoherence can be controlled through manipulating the interaction between the system and environment. The influence of the decoherence on quantum coherent atomic tunneling (AT) between two condensates with arbitrary initial states is studied in detail. Analytic expressions of the population difference (PD) and the AT current between two condensates are found. It is shown that the decoherence leads to the decay of the PD and the suppression of the AT current.

show abstract

Quantum statistics and dynamics of Kerr nonlinear couplers

Cited by 73 publications

References 23 publications

Asymmetric Gaussian steering: When Alice and Bob disagree

Asymmetric Gaussian steering: When Alice and Bob disagree

Kerr nonlinear coupler and entanglement

Decoherence in two Bose-Einstein condensates

Contact Info

Product

Resources

About