Interaction of two two-level atoms with a single-mode quantized radiation field

Iqbal, Mobashir; Mahmood, Sajid; Razmi, M. S. K.; Zubairy, M. Suhail

doi:10.1364/josab.5.001312

Cited by 56 publications

(30 citation statements)

References 12 publications

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“…Such type of investigation is motivated by the importance of the TJCM in the literatures, e.g. [22,23,24,25,26,27]. The atomic inversions of the TJCM have taken much interest [22,26,27] since they exhibit different shapes of the revival-collapse phenomenon (RCP).…”

Section: Introductionmentioning

confidence: 99%

Single-atom entropy squeezing for two two-level atoms interacting with a single-mode radiation field

El-Orany

Wahiddin

Obada

2008

Optics Communications

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In this paper we consider a system of two two-level atoms interacting with a single-mode quantized electromagnetic field in a lossless resonant cavity via l-photon-transition mechanism. The field and the atoms are initially prepared in the coherent state and the excited atomic states, respectively. For this system we investigate the entropy squeezing, the atomic variances, the von Neumann entropy and the atomic inversions for the single-atom case. We show that the more the number of the parties in the system the less the amounts of the nonclassical effects exhibited in the entropy squeezing. The entropy squeezing can give information on the corresponding von Neumann entropy. Also the nonclassical effects obtained form the asymmetric atoms are greater than those obtained form the symmetric atoms. Finally, the entropy squeezing gives better information than the atomic variances only for the asymmetric atoms.

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Section: Introductionmentioning

confidence: 99%

Single-atom entropy squeezing for two two-level atoms interacting with a single-mode radiation field

El-Orany

Wahiddin

Obada

2008

Optics Communications

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“…and Λ n = (λ 2 1 + λ 2 2 ) 2 (2n + 3) 2 − 4(λ 2 1 − λ 2 2 ) 2 (n + 2)(n + 1), µ ± n = λ 2 1 + λ 2 2 ± Λ n , The dynamical density matrix of the whole system can be obtained by substituting (11)-(13) into (9) and then carrying out the integration with respect to φ. This treatment provides the exact solution of the problem.…”

Section: Example: Two-qubit Problemmentioning

confidence: 99%

An analytical approach for treating unitary quantum systems with initial mixed states

El-Oranyl¹

2013

Laser Phys.

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The mixed states are important in quantum optics since they frequently appear in the decoherence problems. When one of the components of the system is prepared in the mixed state and the evolution operator of this system is not available, one cannot deduce the density matrix. We present analytical approach to accurately solve this problem. The approach can be applied on the condition that the Schrödinger's equation of the system is solvable with any arbitrary initial state. In deriving the solution we exploit the fact that any mixed state can be expressed in terms of a phase state. The approach is illustrated by deriving the density matrix of a singlemode heat environment interacting asymmetrically with two qubits. Our results are in good agreement with the available results in the literature. This approach opens new perspectives for treating complicated systems and may impact other applications in the quantum theory. PACS numbers: 03.65. Ud, 42.50.Dv

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“…This and related models have been studied in connection with studies of the interaction between two atoms and a cavity [10,11,12], and quantum entanglement [13,14,15]. Our approach is most useful in the multiphoton regime with a highly excited oscillator.…”

Section: Introductionmentioning

confidence: 99%