On the evolution of superposition of squeezed displaced number states with the multiphoton Jaynes Cummings model

El-Orany, Faisal A. A.; Obada, A.‐S. F.

doi:10.1088/1464-4266/5/1/309

Cited by 33 publications

(41 citation statements)

References 75 publications

(134 reference statements)

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“…This behavior is quite similar to that of the standard JCM [3] and two-atom JCM [47]. Nevertheless, from (14) the bipartite is disentangled, however, some information from the field is involved in the atomic system and vice versa.…”

Section: Atomic Inversion and Linear Entropysupporting

confidence: 66%

“…The JCM has become experimentally realizable with the Rydberg atoms in the high-Q microwave cavities (e.g., see [2]). Various extensions for the JCM have been performed and investigated in greater details such as multiphoton [3,4], intensity-dependent [5], multimode, e.g., [6,7,8,9,10], multilevel atoms [11] and multiatom interactions [12]. One of these extensions is the two-mode JCM (TJCM), which has taken a considerable interest in the literatures, e.g.…”

Section: Introductionmentioning

confidence: 99%

“…In this regard von Neuman entropy (NE) [23], linear entropy (LE) and the Shannon information entropy (SE) [24] have been frequently used in treating entanglement in the quantum systems. The NE [25] and the LE [3] have been applied to the JCM. It is worth mentioning that the SE involves only the diagonal elements of the density matrix and in some cases it can give information similar to that obtained from the NE and LE.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Entanglement in the Bimodal Jaynes–Cummings Model with the Two-Mode Squeezed Vacuum State

et al. 2007

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In this paper, we study the interaction between the two-level atom and a bimodal cavity field, namely, two-mode Jaynes-Cummings model when the atom and the modes are initially in the atomic superposition state and two-mode squeezed vacuum state, respectively. For this system we investigate the atomic inversion, linear entropy and atomic Wehrl entropy. We show that there is a connection between all these quantities. Also we prove that the atomic Wehrl entropy exhibits behaviors similar to those of the linear entropy and the von Neumann entropy. Moreover, we show that the bipartite exhibits periodical disentanglement and derive the explicit forms of the states of the atom and the modes at these values of the interaction times.

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Section: Atomic Inversion and Linear Entropysupporting

confidence: 66%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Entanglement in the Bimodal Jaynes–Cummings Model with the Two-Mode Squeezed Vacuum State

et al. 2007

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“…Displaced number states can also be implemented to realizing an irreversible analog of quantum gates, such as the Hadamard gate, and to optimizing such gates [19]. The DNSs follow sub-Poissonian statistics [20] and exhibit several pure quantum effects, such as the revival-collapse phenomenon [21] and the interference in the phase space [22].…”

Section: Introductionmentioning

confidence: 99%

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

Choi

2016

Int Nano Lett

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Quantum properties of a superposition state for a series RLC nanoelectronic circuit are investigated. Two displaced number states of the same amplitude but with opposite phases are considered as components of the superposition state. We have assumed that the capacitance of the system varies with time and a time-dependent power source is exerted on the system. The effects of displacement and a sinusoidal power source on the characteristics of the state are addressed in detail. Depending on the magnitude of the sinusoidal power source, the wave packets that propagate in charge(q)-space are more or less distorted. Provided that the displacement is sufficiently high, distinct interference structures appear in the plot of the time behavior of the probability density whenever the two components of the wave packet meet together. This is strong evidence for the advent of nonclassical properties in the system, that cannot be interpretable by the classical theory. Nonclassicality of a quantum system is not only a beneficial topic for academic interest in itself, but its results can be useful resources for quantum information and computation as well.

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“…The JCM is a rich source for the nonclassical effects, e.g. the revival-collapse phenomenon (RCP) [10], sub-Poissonian statistics and squeezing [11]. Furthermore, the JCM has been experimentally implemented by various means, e.g.…”

mentioning

confidence: 99%

A linear atomic quantum coupler

El-Orany¹,

B²

2010

J. Phys. B: At. Mol. Opt. Phys.

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In this paper, we develop the notion of the linear atomic quantum coupler. This device consists of two modes propagating into two waveguides, each of them includes a localized and/or a trapped atom. These waveguides are placed close enough to allow exchanging energy between them via evanescent waves. Each mode interacts with the atom in the same waveguide in the standard way, i.e. as the Jaynes-Cummings model (JCM), and with the atom-mode in the second waveguide via evanescent wave. We present the Hamiltonian for the system and deduce the exact form for the wavefunction. We investigate the atomic inversions and the second-order correlation function. In contrast to the conventional linear coupler, the atomic quantum coupler is able to generate nonclassical effects. The atomic inversions can exhibit long revival-collapse phenomenon as well as subsidiary revivals based on the competition among the switching mechanisms in the system. Finally, under certain conditions, the system can yield the results of the two-mode JCM.

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On the evolution of superposition of squeezed displaced number states with the multiphoton Jaynes Cummings model

Cited by 33 publications

References 75 publications

Entanglement in the Bimodal Jaynes–Cummings Model with the Two-Mode Squeezed Vacuum State

Entanglement in the Bimodal Jaynes–Cummings Model with the Two-Mode Squeezed Vacuum State

Superposition states for quantum nanoelectronic circuits and their nonclassical properties

A linear atomic quantum coupler

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