Construction of the Barut-Girardello type of coherent states for Pöschl-Teller potential

Zhang, Hong-Biao; Jiang, Guang-Yuan; Guo, San-Xing

doi:10.1063/1.4903258

Cited by 4 publications

(3 citation statements)

References 29 publications

(25 reference statements)

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“…Remark 4.4. Note also that in a similar context [16] the authors were dealing with coherent states for the Hamiltonian with the Pöschl-Teller potential, for which they were investigating nonclassical properties through statistics of the corresponding photon-counting probability distribution.…”

Section: Nlcs For the Symmetric Pöschl-teller Oscillatormentioning

confidence: 99%

Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

Ahbli

Patrick

Mouayn

2016

Integral Transforms and Special Functions

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We consider a one-parameter family of nonlinear coherent states by replacing the factorial in coefficients z n / √ n! of the canonical coherent states by a specific generalized factorial x γ n !, γ ≥ 0. These states are superposition of eigenstates of the Hamiltonian with a symmetric Pöschl-Teller potential depending on a parameter ν > 1. The associated Bargmann-type transform is defined for γ = ν. Some results on the infinite square well potential are also derived. For some different values of γ, we discuss two sets of orthogonal polynomials that are naturally attached to these coherent states.

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Section: Nlcs For the Symmetric Pöschl-teller Oscillatormentioning

confidence: 99%

Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

Ahbli

Patrick

Mouayn

2016

Integral Transforms and Special Functions

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“…The construction of non-linear Barut-Girardello coherent state, entangled pair-, trio-coherent states and Gilmore-Perelomov coherent states are widely used in applied quantum physics. For some different physical systems, the non-linear Barut-Girardello coherent state was achieved, such as; charge carriers in anisotropic 2D-Dirac materials (Díaz-Bautista et al 2019), Morse potential (Fakhri and Chenaghlou 2003;Popov et al 2013), and Pöschl-Teller potential (Zhang et al 2014).…”

Section: Introductionmentioning

confidence: 99%

Enhancing the information of nonlinear SU(1, 1) quantum systems interacting with a two-level atom

2022

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The effect of nonlinearity, initial atomic state, and different resonance cases on the interaction between nonlinear SU (1, 1) quantum states and a two-level atom is discussed. The optimal behaviours of decoherence, entanglement and quantum coherence are predicted via using the skew information, tomographic entropy, and the relative entropy of coherence, respectively. It is shown that the detuning parameter has a destructive effect on the coherence and consequently on the entanglement if the quantum system is regulated in the ideal SU (1, 1) quantum systems. For the nonlinear SU (1, 1) quantum systems, the ability to suppress the decay of entanglement induced by the detuning may be increased by preparing the initial atomic state in its excited state.

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“…B-GCS [ 43 ] is of particular importance for quantum information [ 44 , 45 , 46 ]. The construction of the B-GCS was realized for different physical systems as Morse potential [ 47 ], Pöschl–Teller potential [ 48 ], and charge carriers in anisotropic

-Dirac materials immersed in a constant homogeneous magnetic field [ 49 ].…”

Section: Introductionmentioning

confidence: 99%

Two-Qubit Local Fisher Information Correlation beyond Entanglement in a Nonlinear Generalized Cavity with an Intrinsic Decoherence

Mohamed

Khalil

Yassen

et al. 2021

Entropy

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In this paper, we study a Hamiltonian system constituted by two coupled two-level atoms (qubits) interacting with a nonlinear generalized cavity field. The nonclassical two-qubit correlation dynamics are investigated using Bures distance entanglement and local quantum Fisher information under the influences of intrinsic decoherence and qubit–qubit interaction. The effects of the superposition of two identical generalized coherent states and the initial coherent field intensity on the generated two-qubit correlations are investigated. Entanglement of sudden death and sudden birth of the Bures distance entanglement as well as the sudden changes in local Fisher information are observed. We show that the robustness, against decoherence, of the generated two-qubit correlations can be controlled by qubit–qubit coupling and the initial coherent cavity states.

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Construction of the Barut-Girardello type of coherent states for Pöschl-Teller potential

Cited by 4 publications

References 29 publications

Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

Research Article Orthogonal polynomials attached to coherent states for the symmetric Pöschl–Teller oscillator

Enhancing the information of nonlinear SU(1, 1) quantum systems interacting with a two-level atom

Two-Qubit Local Fisher Information Correlation beyond Entanglement in a Nonlinear Generalized Cavity with an Intrinsic Decoherence

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