A comparative study of entanglement amplification in a nondegenerate three-level cascade laser employing various inseparability criteria

Tesfa, Sintayehu

doi:10.1088/0953-4075/42/21/215506

Cited by 16 publications

(45 citation statements)

References 38 publications

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“…The nonclassical correlation in this system seems to repeat the absence of the bipartite entanglement in a three-level cascade system when the lower and the upper energy levels are prepared in a maximum coherent superposition [32].…”

Section: Demonstration Of the Tripartite Entanglementmentioning

confidence: 60%

“…It can be asserted that initially preparing atoms in a certain coherent superposition and then allowing them to follow realistic spontaneous transition roots can yield a strongly entangled light [31][32][33]. Taking this as a motivation, the Y-shaped four-level atomic system initially prepared in a coherent superposition of the energy levels between which a direct electric dipole transition is forbidden would be considered.…”

Section: Description Of the Modelmentioning

confidence: 99%

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Coherently prepared nondegenerate Y-shaped four-level correlated emission laser: A source of tripartite entangled light

Tesfa

2011

Phys. Rev. A

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A detailed derivation of the master equation of the cavity radiation of a coherently prepared Y-shaped four-level correlated emission laser is presented. The outline of the procedures that can be employed in analytically solving the stochastic differential equations and the rate equations of various correlations are also provided. It is shown that coherently preparing the atoms in the upper two energy levels and the lower level initially can lead to a genuine continuous-variable tripartite entanglement. Moreover, preparing the atoms in the coherent superposition, other than the possible maximum or minimum, of the upper two energy levels, leaving the lower level unpopulated, may lead to a similar observation. With the possibility of the atom at the intermediate energy level to take three different transition roots guided by the induced coherence, this system, in general, is found to encompass versatile options for practical utilization. In particular, coupling at least one of the dipole forbidden transitions by an external radiation is expected to enhance the degree of detectable entanglement.COHERENTLY PREPARED NONDEGENERATE Y-SHAPED . . . A 83, 052322 (2011) Furthermore, assuming that the environment modes can be represented by a three-mode independent vacuum reservoir, it is possible to include its effect following the standard approach [43]. In this respect, with the aid of the above variable transformation, one readily finds PHYSICAL REVIEW

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Section: Demonstration Of the Tripartite Entanglementmentioning

confidence: 60%

Section: Description Of the Modelmentioning

confidence: 99%

Coherently prepared nondegenerate Y-shaped four-level correlated emission laser: A source of tripartite entangled light

Tesfa

2011

Phys. Rev. A

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“…It has been shown that the Hillery-Zubairy criterion is another equivalent entanglement criterion with Cauchy-Stewart inequality when the inter-atomic interaction is not taken into account [22]. This is contrary to the other criterion and the result reported in in which the driven atomic coherence is used.…”

Section: Hillery-zubairy Criterionmentioning

confidence: 79%

“…A pair of particles is said to be entangled in quantum theory, if its states cannot be expressed as a product of the states of its individual constituents. (22) in which P j > 0 and Σ j P j = 1 is set to ensure normalization of the combined density of state.…”

Section: Continous Variable Entanglement Criteriamentioning

confidence: 99%

Quantum Entanglement and its Quantification in a Two-Mode Cascade Laser

Mosisa¹

2021

J Phy Opt Sci

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In this paper, quantum entanglement of correlated two-mode light generated by a three-level laser coupled to a two-mode squeezed vacuum reservoir is thoroughly analyzed using different inseparability criteria, using the master equation, we obtain the stochastic dierential equation and the correlation properties of the noise forces associated with the normal ordering. Next, we study the photon entanglement by considering different inseparability criteria. In particular, the criteria applied are Duan-Giedke-Cirac-Zoller (DGCZ) criterion, logarithmic negativity, Hillery-Zubairy, and Cauchy-Schwartz inequality and we found that the presence of the squeezing parameter leads to an increase in the degree of entanglement. Moreover, the linear gain coecient significantly achieved the degree of entanglement for the cavity radiation

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“…Previous study shows that the nature of the predicted degree of entanglement by the two criteria for a similar system when Ω = 0, θ = 0 and γ = Γ has the same form except near η = 0 where significant disparity was observed at steady state [20]. The main aim here is shifted to the study of the time evolution of the entanglement upon using γ/Γ and θ as a probe.…”

Section: A Duan-giedke-cirac-zoller Criteriamentioning

confidence: 94%

Effect of phase fluctuation and dephasing on the dynamics of entanglement generation in a correlated emission laser

Tesfa

2012

Optics Communications

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A detailed study of the effects of phase fluctuation and dephasing on the dynamics of the entanglement generated from a coherently pumped correlated emission laser is presented. It is found that the time evolution of the entanglement is significantly reliant on the phase fluctuation and dephasing, particularly, at early stages of the lasing process. In the absence of external driving radiation, the degree of entanglement and intensity turns out to attain a maximum value just before starting to exhibit oscillation which dies at longer time scale. However, in case the driving mechanism is on, the oscillatory nature disappears due to the additional induced coherent superposition and the degree of entanglement would be larger at steady state. Moreover, the degree of entanglement as predicted by the logarithmic negativity and the Duan-Giedke-Cirac-Zoller criteria exhibits a similar nature when there is no driving radiation, although such a trend is eroded with increasing strength of the pumping radiation at longer time scale. The other important aspect of the phase fluctuation and dephasing is the possibility of relaxing the time at which the maximum entanglement is detected.

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A comparative study of entanglement amplification in a nondegenerate three-level cascade laser employing various inseparability criteria

Cited by 16 publications

References 38 publications

Coherently prepared nondegenerate Y-shaped four-level correlated emission laser: A source of tripartite entangled light

Coherently prepared nondegenerate Y-shaped four-level correlated emission laser: A source of tripartite entangled light

Quantum Entanglement and its Quantification in a Two-Mode Cascade Laser

Effect of phase fluctuation and dephasing on the dynamics of entanglement generation in a correlated emission laser

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