A theoretical scheme for generation of Gazeau–Klauder coherent states via intensity-dependent degenerate Raman interaction

Yadollahi, Fatemeh; Tavassoly, M. K.

doi:10.1016/j.optcom.2010.09.062

Cited by 18 publications

(12 citation statements)

References 37 publications

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“…Despite that Gazeau-Klauder generalized coherent states [8] (used instead of the standard Perelomov) are harder in production [22], they can be, as we showed in this work, advantageous. At the cost of coping with a relatively well known Kerr-type nonlinear bosonic oscillator, present also beyond typical optical context [23], one gets a communication scheme with a smaller value of the Helstrom bound.…”

Section: Discussionmentioning

confidence: 58%

Binary Communication with Gazeau–Klauder Coherent States

Dajka

Łuczka

2020

Entropy

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We investigate advantages and disadvantages of using Gazeau–Klauder coherent states for optical communication. In this short paper we show that using an alphabet consisting of coherent Gazeau–Klauder states related to a Kerr-type nonlinear oscillator instead of standard Perelomov coherent states results in lowering of the Helstrom bound for error probability in binary communication. We also discuss trace distance between Gazeau–Klauder coherent states and a standard coherent state as a quantifier of distinguishability of alphabets.

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Section: Discussionmentioning

confidence: 58%

Binary Communication with Gazeau–Klauder Coherent States

Dajka

Łuczka

2020

Entropy

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“…We end the concluding remarks with mentioning the fact that there exists a general way for the construction of generalized coherent state associated with any solvable quantum system with nondegenerate discrete spectrum (such as the one considered in this article) known as Gazeau-Klauder type of coherent states [29,30]. But, while our approach is rather new and novelty, the results (the obtained ladder operators, the corresponding generalized coherent states and their properties) are all essentially different and distinguishable.…”

Section: Discussionmentioning

confidence: 99%

On the ladder operators and nonclassicality of generalized coherent state associated with a particle in an infinite square well

Jalali

Tavassoly

2013

Optics Communications

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In this paper the factorization method is used in order to obtain the eigenvalues and eigenfunctions of a quantum particle confined in a one-dimensional infinite well. The output results from the mentioned approach allows us to explore an appropriate new pair of raising and lowering operators corresponding to the physical system under consideration. From the symmetrical considerations, the connection between the obtained ladder operators with su(1, 1) Lie algebra is explicitly established. Next, after the construction of Barut-Girardello and Gilmore-Perelomov representations of coherent states associated with the considered system, some of their important properties like the resolution of the identity including a few nonclassical features are illustrated in detail. Finally, a theoretical scheme for generation of the Gilmore-Perelomov type of coherent state via a generalized Janes-Cummings model is proposed.

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“…As a final point, it is worth mentioning that with a setup similar to the one given in [33], one can, in fact, make a measurement on the atomic state. Meanwhile, a photon detector, placed properly, can specify the photonic states.…”

Section: Summary and Epiloguementioning

confidence: 99%

Characteristics of the Temporal Behavior of Entanglement between Photonic Binomial Distributions and a Two-Level Atom in a Damping Cavity

Yadollahi

Safaiee

Golshan

2019

IJOP

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In the present study, temporal behavior of entanglement between photonic binomial distributions and a two-level atom in a leaky cavity, in equilibrium with the environment at a temperature T, is studied. In this regard, the master equation is solved in the secular approximation for the density matrix, when the initial photonic distribution is binomial, while the atomic states obey the Boltzmann distribution. The atom-photon density matrix so calculated is then used to compute the negativity, as a measure of entanglement. The behavior of atom-photon entanglement is, consequently, determined as a function of time and temperature. To justify the behavior of atom-photon entanglement, moreover, we employ the total density matrix to compute and analyze the time evolution of the initial photonic binomial probability distribution. Our results, along with representative figures reveal that the atomphoton degree of entanglement exhibits oscillations while decaying with time and asymptotically vanishes. It is further demonstrated that an increase in the temperature gives rise to a decrease in the entanglement. The finer characteristics of the temporal behavior of the corresponding probability distribution and, consequently, the atom-photon entanglement is also given and discussed.

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A theoretical scheme for generation of Gazeau–Klauder coherent states via intensity-dependent degenerate Raman interaction

Cited by 18 publications

References 37 publications

Binary Communication with Gazeau–Klauder Coherent States

Binary Communication with Gazeau–Klauder Coherent States

On the ladder operators and nonclassicality of generalized coherent state associated with a particle in an infinite square well

Characteristics of the Temporal Behavior of Entanglement between Photonic Binomial Distributions and a Two-Level Atom in a Damping Cavity

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