Sudden death and birth of entanglement effects for Kerr-nonlinear coupler

Kowalewska-Kudłaszyk, A.; Leoński, W.

doi:10.1364/josab.26.001289

Cited by 28 publications

(27 citation statements)

References 12 publications

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“…Intermodal squeezing in compound mode quadratures Y ab 2 and X b 1 b 2 can be visualized from the last two rows of Eq. (34). Specifically, we can see that variance in compound mode quadrature X jb 2 and Y jb 2 have bijective (both one-to-one and onto) correspondence with the variance in X j and Y j , respectively, where j ∈ {a, b 1 }.…”

Section: Single-mode and Intermodal Squeezingmentioning

confidence: 92%

“…Only a few discrete efforts have recently been made to study higher order nonclassical effects and entanglement in optical couplers [13,[34][35][36][37][38][39], but except a recent study on codirectional nonlinear optical coupler reported by us [13], all the other efforts were limited to Kerr nonlinear optical coupler. For example, in 2004, Leonski and Miranowicz reported entanglement in Kerr nonlinear optical coupler [36] and pumped Kerr nonlinear optical coupler [39], subsequently entanglement sudden death [34] and thermally induced entanglement [35] were reported in the same system. Amplitude squared (higher order) squeezing was also reported in Kerr nonlinear optical coupler [38].…”

Section: Introductionmentioning

confidence: 99%

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Nonclassical properties of a contradirectional nonlinear optical coupler

et al. 2014

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We investigate the nonclassical properties of output fields propagated through a contradirectional asymmetric nonlinear optical coupler consisting of a linear waveguide and a nonlinear (quadratic) waveguide operated by second harmonic generation. In contrast to the earlier results, all the initial fields are considered weak and a completely quantum mechanical model is used here to describe the system. Perturbative solutions of Heisenberg's equations of motion for various field modes are obtained using Sen-Mandal technique. Obtained solutions are subsequently used to show the existence of single-mode and intermodal squeezing, single-mode and intermodal antibunching, two-mode and multi-mode entanglement in the output of contradirectional asymmetric nonlinear optical coupler. Further, existence of higher order nonclassicality is also established by showing the existence of higher order antibunching, higher order squeezing and higher order entanglement. Variation of observed nonclassical characters with different coupling constants and phase mismatch is discussed.Comment: 15 pages 7 figures. arXiv admin note: text overlap with arXiv:1403.664

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Section: Single-mode and Intermodal Squeezingmentioning

confidence: 92%

Section: Introductionmentioning

confidence: 99%

Nonclassical properties of a contradirectional nonlinear optical coupler

et al. 2014

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“…There is an interaction between these oscillators and it can be of various character. In (Leoński and Miranowicz, 2004;Miranowicz and Leoński, 2006) this is a linear interaction, in subsequent papers (Kowalewska-Kud laszyk and Leoński, , 2009Leoński, , 2010b this interaction is of nonlinear character whereas in (Kowalewska-Kud laszyk, Leoński, and Peřina Jr, 2011) the interaction is of a parametric type.…”

Section: Nqs Device For Two-mode Statesmentioning

confidence: 96%

“…There was also considered the influence of the kind of environment interacting with coupler on the entanglement formation in the system. In (Kowalewska-Kud laszyk and Leoński, 2009) the Authors considered the evolution of initially entangled state but there qubit subspaces were considered. It appears that because of the fact that the whole system has more than two dimensions it is possible to observe complete vanishing and after some time reappearing of the entanglement in the system's two-dimensional subspaces (Fig.10).…”

Section: Nonlinear Coupler With Nonlinear Interactionmentioning

confidence: 99%

Quantum Scissors – Finite-Dimensional States Engineering

Leoński

Kowalewska-Kudłaszyk

2011

Progress in Optics

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This work discusses quantum states defined in a finite-dimensional Hilbert space. In particular, after the presentation of some of them and their basic properties the work concentrates on the group of the quantum optical models that can be referred to as quantum optical scissors. Such "devices" can generate on their outputs states that are finite-dimensional, and simultaneously use for such preparation quantum states that are defined in the infinity-dimensional space. The work concentrates on two groups of models: the first one, comprising linear elements and the second one -models for which optical, Kerr-like nonlinear elements were applied. IntroductionProblems of quantum optical states engineering have attracted remarkable interest in last years. Various concepts of such states and methods of their production and manipulation have been presented in numerous papers. They have diverse applications in atomic and molecular, solid state and nano-systems physics, and also in the quantum information theory. The latter have recently given a stimulating pulse for the investigation of the states defined in finite-dimensional Hilbert space. However, one should keep in mind that the general idea of such states was born much earlier. In particular, Radclife (Radcilffe, 1971) and Arecchi et.al (Arecchi, Courtens, Gilmore, and Thomas, 1972) proposed the atomic (or spin) coherent states definition for the optical models involving atomic systems interacting with transverse 1 arXiv:1312.0118v1 [quant-ph] 30 Nov 2013 electromagnetic field. Those states are finite-dimensional analogues of the coherent states proposed by Glauber (Glauber, 1963b,a) and play a crucial role in the quantum optics theory. Finite-dimensional coherent states have been discussed in various aspects -for example see (the references quoted therein.Another milestone in the development of the idea of finite-dimensional states was the proposal of the phase-states given by Pegg and Barnett in Barnett, 1988, 1989). The key idea of the definition they proposed is to calculate the state and all physical quantities in the (s + 1)-dimensional space and then, to take the limit s → ∞. These states are not the subject of this paper and we shall concentrate on the quantum scissors systems, however, they are interesting enough to be mentioned here. For instance, in (Vogel, Akulin, and Schleich, 1993) the model involving atoms injected into a cavity was discussed as a potential source of the phase-states. The Pegg-Burnett formalism is important as a method of defining other finite-dimensional states. As it will be presented, some of the finite-dimensional states are defined in an analogous way to the phase-states, i.e. it shall be assumed that the space is finite-dimensional and within such a space all operators and desired states are defined. Such states we will referred to as finite dimensional states. Another approach to the states definiton which is presented in this paper, is similar to that proposed in Zhou, 1993, 1994). For this case the expansion of the discussed...

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“…Entanglement sudden death has recently been confirmed experimentally [35]. On the other hand, the entanglement can also be created during the evolution or one can observe revival of the entanglement as well as entanglement sudden birth [36][37][38][39].…”

Section: Introductionmentioning

confidence: 92%

Entanglement and Statistical Properties of a System Consisting of Three-Level Atom Interacting with a Nonlinear Kerr Medium Field

2016

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In this paper, we present a proper quantum system to perform different tasks of quantum information processing with optimal conditions. We study the populations, entanglement, and nonclassical properties of a system consisting of three level atom interacting with a nonlinear Kerr medium field constructed in the framework of generalized Heisenberg algebra. We quantify these quantities in terms of different parameters involved in the whole system considering the case of moving and stationary atom in the real experimental meaning of the coupling constant. The nonlinearity introduced by these kinds of fields play a useful role to create high amount of entanglement during the time evolution. Interestingly, the relationship between the degree of nonlinearity and robust of entanglement is explored in this present model.

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Sudden death and birth of entanglement effects for Kerr-nonlinear coupler

Cited by 28 publications

References 12 publications

Nonclassical properties of a contradirectional nonlinear optical coupler

Nonclassical properties of a contradirectional nonlinear optical coupler

Quantum Scissors – Finite-Dimensional States Engineering

Entanglement and Statistical Properties of a System Consisting of Three-Level Atom Interacting with a Nonlinear Kerr Medium Field

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