Geometric phase in cavity QED containing a nonlinear optical medium and a quantum well

Mohamed, A.-B.A.; Eleuch, Hichem

doi:10.1080/09500340.2015.1058431

Cited by 6 publications

(5 citation statements)

References 43 publications

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“…The phenomena of the collapses and revivals appear as rectangular oscillations (it does not reach its extreme values instantly), where the PGP has invariant dynamics during some time intervals. (2) The coupling constants,

MHz, lead to generating oscillations quickly during some intervals which are called uncertain intervals [ 19 ]. In these the intervals, the GP values can not be certainly determined.…”

Section: Geometric Phase and Its Computational Resultsmentioning

confidence: 99%

“…Geometric phase was proposed to realize the geometric quantum computations for different quantum model as: ion traps [ 16 ], atoms in cavity field [ 17 ], and superconducting circuits [ 18 ]. The time-dependent geometric was investigated in more physical models as: the model of a cavity QED was filled with a nonlinear medium and containing a quantum well [ 19 ], the model of a phase qubit dispersively coupled to a lossy LC circuit [ 20 ] and the model of a trapped ion with Stark shift [ 21 ].…”

Section: Introductionmentioning

confidence: 99%

“…A way to get around this problem is to introduce geometric phase shifts [ 27 ]. The geometric phase of the open quantum systems are inevitably affected by the decoherence of the external environment [ 19 ].…”

Section: Introductionmentioning

confidence: 99%

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Control of the Geometric Phase in Two Open Qubit–Cavity Systems Linked by a Waveguide

Mohamed

Masmali

2020

Entropy

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We explore the geometric phase in a system of two non-interacting qubits embedded in two separated open cavities linked via an optical fiber and leaking photons to the external environment. The dynamical behavior of the generated geometric phase is investigated under the physical parameter effects of the coupling constants of both the qubit–cavity and the fiber–cavity interactions, the resonance/off-resonance qubit–field interactions, and the cavity dissipations. It is found that these the physical parameters lead to generating, disappearing and controlling the number and the shape (instantaneous/rectangular) of the geometric phase oscillations.

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MHz, lead to generating oscillations quickly during some intervals which are called uncertain intervals [ 19 ]. In these the intervals, the GP values can not be certainly determined.…”

Section: Geometric Phase and Its Computational Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Control of the Geometric Phase in Two Open Qubit–Cavity Systems Linked by a Waveguide

Mohamed

Masmali

2020

Entropy

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“…In the case of the absence of the optical linear medium inside the cavity χ = 0.0, we noted that: (1) The PGP function has rectangular oscillations verifying the inequality −π < G(t) < π. (2) The number of rectangular oscillations is enhanced with the increase of the coupling constants λ k (k = 1, 2, 3) and uncertain intervals [17] appear, in which the GP values can not be unequivocally determined. (3) Dashed curve of the Fig.3 shows the dynamics of the PGP for the the dissipation rates κ k = γ k = 0.4.…”

Section: A Gp With the Initial Correlated State |ψ(0)mentioning

confidence: 99%

“…It has also contributed to the significant applications in quantum information and computation for developing robust quantum systems such as: superconducting circuits [14], trapped ions [15] and atoms in cavity field [16]. The dynamics of the geometric phase were investigated in cavity-QED systems [17], phase-qubit system coupled to a LC circuit [18], trapped ion system with Stark shift [19], open qubit-cavity system [20] and a two-level system undergoing pure dephasing [21].…”

Section: Introductionmentioning

confidence: 99%

Robustness of Generated Geometric Phase of Quantum Wells in Two Open Waveguide-Coupled Optical Cavities

et al. 2020

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In this paper, we study the geometric phase in a system formed by two spatially separated cavities interacting with the environment. Each cavity is filled by a linear optical medium and contains a quantum well. For different initial states, the robustness of the generated geometric phase is analyzed under the effects of the optical susceptibility, the dissipation of the cavities, the exciton-cavity and fiber-cavity couplings. Our results show that the geometric phase is extremely sensitive to the effects of the cavityexciton and the fiber-cavity couplings as well as to the optical susceptibility. This opens new routes to understand the storage and manipulation of quantum data in a quantum network.

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Depiction of an external classical field effects on a four-level W-configuration atom embedded in a coherent cavity field

Ali

2023

Appl. Phys. B

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This paper examines the dynamics of a W-configuration four-level atom in a quantized cavity field and the system driven by an external classical field. By applying some canonical transformations, we derive analytical solutions to the Schrödinger equation for the corresponding Hamiltonian. We have analyzed the impact of the external field and detuning parameters on the system’s relative entropy of coherence, Wigner function, and Pancharatnam phase. Our findings suggest that the external field parameter greatly affects the coherence of the system, whereas the detuning parameters may increase its maximum bounds. Furthermore, we have utilized the Wigner function as a tool to measure the quantumness and classicality of the system in its phase space. Our results indicate that the external field has a greater impact on the classicality of the system than the detuning parameters. Additionally, we have observed rapid oscillations in the dynamics of the Pancharatnam phase for large detuning values. It is worth noting that the external field reduces the number of phase jumps in the system.

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Geometric phase in cavity QED containing a nonlinear optical medium and a quantum well

Cited by 6 publications

References 43 publications

Control of the Geometric Phase in Two Open Qubit–Cavity Systems Linked by a Waveguide

Control of the Geometric Phase in Two Open Qubit–Cavity Systems Linked by a Waveguide

Robustness of Generated Geometric Phase of Quantum Wells in Two Open Waveguide-Coupled Optical Cavities

Depiction of an external classical field effects on a four-level W-configuration atom embedded in a coherent cavity field

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