Periodic Spontaneous Collapse and Revival in a Simple Quantum Model

Eberly, J. H.; Narozhny, N. B.; Sanchez-Mondragon, J. J.

doi:10.1103/physrevlett.44.1323

Cited by 1,287 publications

(833 citation statements)

References 5 publications

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“…λ 1 = λ 2 = 0. In this case, expressions (12) exhibit the well-known RCP of the standard JCM [10]. The final remark, AQC is able to switch the nonclassical effects from one waveguide to another based on the values of the interaction parameters.…”

Section: Model Formalism and Its Wavefunctionmentioning

confidence: 94%

“…where T = λ 3 t. The expression (10) reveals that the behavior of the radiation fields is typically that of the two-mode single-atom JCM [37]. Finally, when the two atoms are initially in the Bell …”

Section: Model Formalism and Its Wavefunctionmentioning

confidence: 99%

“…It is worth reminding that for the standard JCM the revival patterns occur in the atomic inversion over certain period of the interaction time afterward they interfere providing chaotic behavior. Additionally, the revival time is connected with the amplitude α through the relation T r = 2π √n ≃ 2π|α| [10]. We proceed, for λ 1 = λ 2 they provide different Fig.…”

Section: Atomic Inversions and Second-order Correlation Functionmentioning

confidence: 99%

“…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.…”

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confidence: 99%

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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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Section: Model Formalism and Its Wavefunctionmentioning

confidence: 94%

Section: Model Formalism and Its Wavefunctionmentioning

confidence: 99%

Section: Atomic Inversions and Second-order Correlation Functionmentioning

confidence: 99%

mentioning

confidence: 99%

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A linear atomic quantum coupler

El-Orany¹,

B²

2010

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

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“…This will happen if 1/2. Figure 5 shows the dependence of the QM probability R on the phase ⌬ for Nϭ10; the argument in the spin-flip probability ϭsin 2 was taken equal to m /(2N) with mϭ1, 3,5,7,9. For these values of the QM probability has maxima at ⌬ ϭn , i.e., it is periodically self-reconstructing.…”

Section: Numerical Experimentsmentioning

confidence: 99%

Neutron multiwave interference experiments with many resonance coils

Grigoriev

Chetverikov

Kraan

et al. 2003

Physica B: Condensed Matter

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Neutron-multiwave-interference phenomena based on Ramsey's resonance method of ''separated oscillating fields'' are studied. A neutron passes through N successive resonant coils (ប 0 ϭ2 n B 0 ), which flip the neutron spin with a probability smaller than 1. These coils are separated by path lengths L over which a homogeneous field B 1 is present. Because the spin-flip probability is smaller than 1, the number of waves for a neutron is doubled after each flipper, so as to produce 2 N neutron waves at the end of the setup. The phase difference between any pair of waves is a multiple of a ''phase quantum'' determined by the line integral of the field difference B 1 ϪB 0 over the length L. Highly regular patterns of the quantum-mechanical probability R in (B 1 , ) space appear due to pair interference between individual waves. Possible applications of this phenomenon, such as a direct measurement of n-particle correlation function, are pointed out.

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Chaos in Optical Systems

Szlachetka

Grygiel

Modern Nonlinear Optics, Part II

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Periodic Spontaneous Collapse and Revival in a Simple Quantum Model

Cited by 1,287 publications

References 5 publications

A linear atomic quantum coupler

A linear atomic quantum coupler

Neutron multiwave interference experiments with many resonance coils

Chaos in Optical Systems

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