THERMAL SCIENCE
International Scientific Journal
EFFECT OF STARK SHIFT ON THREE-LEVEL ATOM INTERACTING WITH A CORRELATED TWO-MODE OF NON-LINEAR COHERENT STATE
ABSTRACT
In this manuscript, we study a new non-linear system which represents a Ξ-type five level atom interacting with a quantized four-mode electromagnetic field. A non-linear Stark shift is introduced, through the elimination of intermediate levels (two and four) using the adiabatic elimination technique. By using the Schrodinger equation we obtain the analytic solution this model. Some statistical aspects through the effective Hamiltonian are presented such as the collapses-revivals phenomenon, degree of purity, concurrence, and the squeezing phenomenon with respect to study the effect of Stark shift parameters on these statistical aspects. For small values of the Stark shift parameter, the collapse times increase and the atomic inversion symmetry axis shifts upward, while the entanglement decreases significantly. It has been noted that the system is affected by the Stark shift parameter.
KEYWORDS
PAPER SUBMITTED: 2022-08-20
PAPER REVISED: 2022-09-25
PAPER ACCEPTED: 2022-11-06
PUBLISHED ONLINE: 2023-01-21
- Fang, M. F., Zhou, G. H., Influence of Atomic Coherence on the Evolution of Field Entropy in Multiphoton Processes, Phys. Lett. A, 184 (1994), 6, pp. 397-402
- Fang, M. F., Liu, X., Influence of the Stark Shift on the Evolution of Field Entropy and Entanglement in Two-Photon Processes, Phys. Lett. A, 210 (1996), 1-2, pp. 11-20
- Obada, A.-S. F., Abdel-Aty, M., Influence of the Stark shift and Kerr-Like Medium on the Evolution of Field Entropy and Entanglement in Two-Photon Processes, Acta Physica Pol. B, 31 (2000), 589
- Abdel-Aty, M., Influence of a Kerr-Like Medium on the Evolution of Field Entropy and Entanglement in a Three-Level Atom, Journal Phys. B: At. Mol. Opt. Phys., 33 (2000), 2665
- Brune, M., et al., Realization of a Two-Photon Maser Oscillator, Phys. Rev. Lett., 59 (1987), 1899
- Gaoxiang, L., et al., Squeezing of Field in the System of a Kerr Medium Embedded in a Non-Degenerate Two-Photon Absorption Cavity, Chin. Phys. Lett., 12 (1995), 79
- Haken, H., Wolf, H. C., Atom-und Quantenphysik, Einfuhrung in Die Experimentellen und Theoretischen Grundlagen (in German), 8th ed., Springer, Berlin, Germany, 2004
- Alliluev, S. P., Malkin, I. A., Calculations of the Stark Effect in Hydrogen Atoms by Using the Dynamica Symmetry O(2,2) x O(2), Zh. Eksp. Teor. Fiz., 66 (1974), 7, pp. 1283-1294
- Alsing, P., Zubairy, M. S., Collapse and Revivals in a Two-Photon Absorption Process, Journal Opt. Soc. Am. B, 4 (1987), 2, pp. 177-184
- Swain, S., Systematic Method for Deriving Effective Hamiltonians, Phys. Rev. A, 49 (1994), Jan., 2816
- Brune, M., et al., Theory of the Rydberg-Atom Two-Photon Micromaser, Phys. Rev. A, 35 (1987), pp. 154-163
- Nasreen, T., Razmi, M. S. K., Two-Photon Atomic Transitions with a Squeezed Cavity Field and Stark Shift, Journal Opt. Soc. Am. B, 8 (1991), 11, pp. 2303-2310
- Nasreen, T., Razmi, M. S. K., Effect of the Dynamics Stark Shift on Dipole Squeezing in Two-Photon Processes, Phys. Rev. A, 46 (1992), 4161
- Fag, M. F., Liu, X., Influence of Stark Shift on the Evolution of the Field Entropy and Entanglement in Two-Photon Processes, Phys. Lett. A, 210 (1996), 1-2, pp. 11-20
- Al Naim, A. F., et al., Effects of Kerr Medium and Stark Shift Parameter on Wehrl Entropy and the Field Purity for Two-Photon Jaynes-Cumminges Model under Dispersive Approximation, Journal Russ. Laser. Res., 40 (2019), Feb., pp. 20-29
- Hilal, E. M. A., Khalil, E. M., Quantum Statistical Aspects of Interactions between the Radiation Field and Two Entangled Two-Level Atoms in the Presence of Stark Shift Terms, Journal Russ. Laser. Res., 39 (2018), June, pp. 207-215
- Anwar, S. J., et al., Entanglement Dynamics of Three and Four Level Atomic System under Stark Effect and Kerr-Like Medium, Quantum Reports, 1 (2019), 1, pp. 23-36
- Anwar, S. J., et al., Effect of Stark-and Kerr-Like Medium on the Entanglement Dynamics of Two Three-Level Atomic System, Quantum Inf. Process., 18 (2019), May, pp. 1-14
- Anwar, S. J., et al., Stark and Kerr Effects on the Dynamics of Moving N-Level Atomic System, Journal Quantum Inf., 9 (2019), 22
- Puri, R. R., Bullough, R. K., Quantum Electrodynamics of an Atom Making Two-Photon Transitions in an Ideal Cavity, Journal Opt. Soc. Am. B, 5 (1988), 10, pp. 2021-2028
- Narducci, L. M., et al., Theory of a Two-Photon Laser Amplifier, Phys. Rev. A, 16 (1977), 1665
- Agarwal, G. S., Non-Classical Statistics of Fields in Pair Coherent States, Journal Opt. Soc. Am. B, 5 (1988), 9, pp. 1940-1947
- Narozhny, N. B., et al., Coherence vs. Incoherence: Collapse and Revival in a Simple Quantum Model, Phys. Rev. A, 23 (1981), 236
- Obada A.-S. F., Eied, A. A., Entanglement in a System of an Ξ−Type Three-Level Atom Interacting with a Non-Correlated Two-Mode Cavity Field in the Presence of Non-Linearities, Opt. Commum., 282 (2009), 11, pp. 2184-2191
- Abdel-Aty, M., Quantum Information Entropy and Multi-Qubit Entanglement, Prog. Quantum Electron, 31 (2007), 1, pp. 1-49
- Obada, A.-S. F., et al., A Non-Linear Interaction between SU(1,1) Quantum System and a Three-Level Atom in Different Configurations with Damping Term, Phys. Scr., 96 (2021), 045105
- Ruiz, J. S., Improved Bounds in the Entropic Uncertainty and Certainty Relations for Complementary Observables, Phys. Lett. A, 201 (1995), 2-3, pp. 125-131
- Ruiz, J. S., Asymptotic Formula for the Quantum Entropy of Position in Energy Eigenstates, Phys. Lett. A, 226 (1997), 1-2, pp. 7-13
- Obada, A.-S. F., et al., Entropy Squeezing and Atomic Wehrl Density for the Interaction between SU(1,1) Lie Algebra and a Three-Level Atom in Presence of Laser Field, Results Phys., 30 (2021), 104759
- Ban, M., Decomposition Formulas for SU(1,1) and SU(2) Lie Algebras and Their Applications in Quantum Optics, Journal Opt. Soc. Am. B, 10 (1993), pp. 1347-1359
