Dynamics of quantum effects in a three-level system interacting with two-mode time-dependent fields including parametric down conversion and damping

References

• Nielsen MA, Chuang IL. Quantum computation and quantum information. Cambridge: Cambridge University Press; 2000.
   Google Scholar
• Englert B-G, Metwally N. Kinematics of qubit pairs. In: Brylinski R, Chen G, editors. Mathematics of quantum computation. Boca Raton: CRC Press, Taylor & Francis group; 2002. p. 25–75.
   Google Scholar
• Phoenix SJD, Knight PL. Fluctuations and entropy in models of quantum optical resonance. Ann Phys. 1988;186:381–407.
   Web of Science ®Google Scholar
• Phoenix SJD, Knight PL. Establishment of an entangled atom-field state in the Jaynes–Cummings model. Phys Rev A. 1991;44:6023–6029.
   PubMed Web of Science ®Google Scholar
• Vedral V, Plenio MB, Rippin MA, et al. Quantifying entanglement. Phys Rev Lett. 1997;78:2275–2279.
   Web of Science ®Google Scholar
• Metwally N. Quantum dense coding and dynamics of information over Bloch channels. J Phys A. 2011;44:Article ID 055305.
   Google Scholar
• Obada A-SF, Ahmed MMA, Faramawy FK, et al. Entropy and entanglement of the nonlinear Jaynes–Cummings model. Chin J Phys. 2004;42:79–91.
   Web of Science ®Google Scholar
• Hines AP, Dawson CM, Mckenzie RH, et al. Entanglement and bifurcations in Jahn–Teller models. Phys Rev A. 2004;70:Article ID 022303.
   Web of Science ®Google Scholar
• Jia X, Subramaniam AR, Gruzberg IA, et al. Entanglement entropy and multifractality at localization transitions. Phys Rev B. 2008;77:Article ID 014208.
   Web of Science ®Google Scholar
• Abdelghany RA, Mohamed A-BA, Tammam M, et al. Tripartite entropic uncertainty relation under phase decoherence. Sci Rep. 2021;11:Article ID 11830.
   PubMed Web of Science ®Google Scholar
• Dattoli G, Gallardo J, Torre A. Binomial states of the quantized radiation field: comment. J Opt Soc Am B. 1987;4:185–187.
   Web of Science ®Google Scholar
• Verma A, Sharma NK, Pathak A. Higher order antibunching in intermediate states. Phys Lett A. 2008;372:5542–5551.
   Web of Science ®Google Scholar
• Agarwal GS, Tara K. Nonclassical properties of states generated by the excitations on a coherent state. Phys Rev A. 1991;43:492–497.
   PubMed Web of Science ®Google Scholar
• Tavassoly MK, Hekmatara H. Entanglement and other nonclassical properties of two two-level atoms interacting with a two-mode binomial field: constant and intensity-dependent coupling regimes. Commun Theor Phys. 2015;64:439–446.
   Web of Science ®Google Scholar
• Li X-S, Lin DL, Gong C-D. Nonresonant interaction of a three-level atom with cavity fields. I. General formalism and level occupation probabilities. Phys Rev A. 1987;36:5209–5219.
   Web of Science ®Google Scholar
• Abdel-Wahab NH. The general formalism for a three-level atom interacting with a two-mode cavity field. Phys Scr. 2007;76:233.
   Web of Science ®Google Scholar
• Abdel-Wahab NH. A three-level atom interacting with a single mode cavity field: different configurations. Phys Scr. 2007;76:244.
   Web of Science ®Google Scholar
• Obada A-SF, Eied AA, Abd Al-Kader GM. Entanglement of a general formalism Λ-type three-level atom interacting with a non-correlated two-mode cavity field in the presence of nonlinearities. J Phys B. 2008;41:Article ID 195503.
   Google Scholar
• Teng J-H, Wang H-F, Shou Zhang L-NQ. Influence of Kerr medium on entanglement of Cascade-type three-level atoms and a bimodal cavity field. Int J Theor Phys. 2009;48:2818–2825.
   Web of Science ®Google Scholar
• Mortezapoura A, Mahmoudib M, Khajehpourc MRH. Atom–photon, two-mode entanglement and two-mode squeezing in the presence of cross-Kerr nonlinearity. Opt Quantum Electron. 2015;47:2311–2329.
   Web of Science ®Google Scholar
• Metwally N, Eleuch H, Obada A-S. Sudden death and rebirth of entanglement for different dimensional systems driven by a classical random external field. Laser Phys Lett. 2016;13:Article ID 105206.
   PubMed Web of Science ®Google Scholar
• Faghihia MJ, Tavassolya MK, Hatamid M. Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion. Physica A. 2014;407:100–109.
   Web of Science ®Google Scholar
• Kh. Ismail M, El-Shahat TM. The damped interaction between a single-mode cavity field with Caldirola–Kanai Hamiltonian and a three-level atom. Chin J Phys. 2019;59:273–280.
   Web of Science ®Google Scholar
• Abd El-Wahab NH, Abdel Rady AS, Osman ANA, et al. Influence of the gravitational field on the statistics of a three-level atom interacting with a one-mode cavity field. J Russ Laser Res. 2015;36:423–429.
   Web of Science ®Google Scholar
• Abdel-Aty M, Obada A-SF. Engineering entanglement of a general three-level system interacting with a correlated two-mode nonlinear coherent state. Eur Phys J D. 2003;23:155–165.
   Web of Science ®Google Scholar
• Abdel-Wahab NH, Salah A. On the interaction between a time-dependent field and a two-level atom. Mod Phys Lett A. 2019;34:Article ID 1950081.
   Web of Science ®Google Scholar
• Xiang Y, Liu J, Bai M-q., et al. Limited resource semi-quantum secret sharing based on multi-level systems. Int J Theor Phys. 2019;58:2883–2892.
   Web of Science ®Google Scholar
• Hu X-M, Zhang C, Liu B-H, et al. Experimental high-dimensional quantum teleportation. Phys Rev Lett. 2020;125:Article ID 230501.
   Web of Science ®Google Scholar
• Marcucci G, Pierangeli D, Pinkse PWH, et al. Programming multi-level quantum gates in disordered computing reservoirs via machine learning. Opt Express. 2020;28:Article ID 14018.
   PubMed Web of Science ®Google Scholar
• Scully MO, Zubairy MS. Quantum optics. Cambridge: Cambridge University Press; 2001.
   Google Scholar
• Bogoljubov NN, Tolmachov VV, Sirkov DV. A new method in the theory of superconductivity. Fortschr Phys. 1958;6:605–682.
   Google Scholar
• Svozil K. Squeezed fermion states. Phys Rev Lett. 1990;65:3341–3343.
   PubMed Web of Science ®Google Scholar
• Jáuregui R, Récamier J. Iterative Bogoliubov transformations and anharmonic oscillators. Phys Rev A. 1992;46:2240–2249.
   PubMed Web of Science ®Google Scholar
• Schrietfer JR. Theory of superconductivity. New York: Benjamin; 1964.
   Google Scholar
• El-Shahat TM, Kh. Ismail M, Al Naim AF. Damping in the interaction of a field and two three-level atoms through quantized Caldirola–Kanai hamiltonian. J Russ Laser Res. 2018;39:231–241.
   Web of Science ®Google Scholar
• Kh. Ismail M, El-Shahat TM. Generation of entanglement between two three-level atoms interacting with a time-dependent damping field. Physica E. 2019;110:74–80.
   Google Scholar
• Zhou Q-C, Zhu SN. Dynamics of a single-mode field interacting with a Λ-type three-level atom. Opt Commun. 2005;248:437–448.
   Web of Science ®Google Scholar
• Bennett CH, DiVincenzo DP, Smolin JA, et al. Mixed-state entanglement and quantum error correction. Phys Rev A. 1996;54:3824–3851.
   PubMed Web of Science ®Google Scholar
• Childs LN. A concrete introduction to higher algebra. Berlin: Springer; 2008.
   Google Scholar
• Faghihi MJ, Tavassoly MK, Hooshmandasl MR. Entanglement dynamics and position-momentum entropic uncertainty relation of a Λ-type three-level atom interacting with a two-mode cavity field in the presence of nonlinearities. J Opt Soc Am B. 2013;30:1109–1117.
   Web of Science ®Google Scholar
• Pancharatnam S. Generalized theory of interference, and its applications. Proc Indian Acad Sci Sect A. 1956;44:247–262.
   Google Scholar