Volume 19, Issue 1 (Winter-Spring 2025)                   IJOP 2025, 19(1): 3-18 | Back to browse issues page

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Daeimohammad M, Nili Ahmadabadi M. Investigation of the Effects of Kerr-like Environments on Entanglement between Two Single-atom Cavities. , IJOP. 2025; 19 (1) :3-18
URL: http://ijop.ir/article-1-609-en.html
1- Department of Physics, Na.C., Islamic Azad University, Najafabad, Iran
2- Department of Mathematics, Na.C., Islamic Azad University, Najafabad, Iran
Abstract:   (27 Views)
In this research, we investigate the effects of Kerr-like environments on the entanglement between two cavities. Each cavity contains a multi-photon field and a two-level atom. We use basis states to examine entanglement, where there are two excitations in the total system (atom + field). Since we consider the cavity environments to be Kerr-like, we employ the deformed Jaynes–Cummings model (DJCM). Due to the physical model used, we assume the deformation function depends on the photon number. It is assumed that there is no direct coupling between the two cavities or between the two atoms, and each atom interacts locally with its own field. We will show that the presence or absence of generalized deformation will affect entanglement both qualitatively and quantitatively. The criterion used to examine entanglement is the concurrence parameter. We will show that when the excitation is equally shared between the atom and the field, maximum entanglement between them occurs. Furthermore, when the excitation is concentrated solely on the atom or solely on the field, the entanglement between the atom and the field will vanish. In addition, we will show that when deformation is present, the entanglement time of the system increases. However, for some initial conditions, deformation causes sudden death of entanglement, resulting in entanglement instability, while for sufficiently large values of deformation, the system reaches a steady state. We will also show that the Kerr-like nature of the environment increases entanglement.
 
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Type of Study: Research | Subject: Quantum Optics, Quantum Communications, Quantom Computing
Received: 2026/04/19 | Revised: 2026/11/15 | Accepted: 2026/07/8 | Published: 2025/01/12

References
1. Z. Zhang, C. You, O.S. Magana-Loaiza, R. Fickler, R.J. Leon-Montiel, J.P. Torres, T.S. Humble, S. Liu, Y. Xia, and Q. Zhuang, “Entanglement-based quantum information technology: a tutorial,” Adv. Opt. Photon., Vol. 16, pp. 60-162, 2024. M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information. Cambridge, U.K.: Cambridge Univ. Press, 2000. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature, Vol. 390, pp. 575-579, 1997. G. Benenti, G. Casati, and G. Strini, Principles of Quantum Computation and Information, Vol. 1. Singapore: World Scientific, 2004. C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W.K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett., Vol. 70, pp. 1895 1899, 1993. A.K. Ekert, “Quantum cryptography based on Bell's theorem,” Phys. Rev. Lett., Vol. 67, pp. 661-663, 1991. C.H. Bennett and S.J. Wiesner, “Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states,” Phys. Rev. Lett., Vol. 69, pp. 2881-2884, 1992. E.T. Jaynes and F.W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE, Vol. 51, pp. 89-109, 1963. B.W. Shore and P.L. Knight, “The Jaynes-Cummings model,” J. Mod. Opt., Vol. 40, pp. 1195-1238, 1993. J. Casanova, G. Romero, I. Lizuain, J.J. Garcia-Ripoll, and E. Solano, “Deep strong coupling regime of the Jaynes-Cummings model,” Phys. Rev. Lett., Vol. 105, pp. 263603(1-5), 2010. M.O. Scully and M.S. Zubairy, Quantum Optics. Cambridge, U.K.: Cambridge Univ. Press, 1997. M.R. Setare and S. Barzanjeh, “Interaction of a two-level atom with the Morse potential in the framework of Jaynes–Cummings model,” Chin. Phys. Lett., Vol. 26, pp. 094211(1-4), 2009. V. Buzek, H. Moya-Cessa, P.L. Knight, and S.J.D. Phoenix, “Schrodinger-cat states in the resonant Jaynes-Cummings model: collapse and revival of oscillations of the photon-number distribution,” Phys. Rev. A, Vol. 45, pp. 8190-8203, 1992. L. Tan, Y.-Q. Zhang, and Z.-H. Zhu, “Entanglement dynamics of a moving multi-photon Jaynes-Cummings model in mixed states,” Chin. Phys. B, Vol. 20, pp. 070303(1 11), 2011. P.L. Knight and B.W. Shore, “Schrodinger-cat states of the electromagnetic field and multilevel atoms,” Phys. Rev. A, Vol. 48, pp. 642-655, 1993. R.-H. Xie, Y.-T Zou, and D.-H. Liu, “Squeezing in the thermal Jaynes-Cummings model,” Chin. Phys. Lett., Vol. 13, pp. 432 435, 1996. E.A. Kochetov, “A generalized N-level single-mode Jaynes-Cummings model,” Physica A, Vol. 150, pp. 280-292, 1988. D.A. Cardimona, M.P. Sharma, and M.A. Ortega, “Effect of three-level atomic state coherence on collapse and revival dynamics,” J. Phys. B: At. Mol. Opt. Phys., Vol. 22, pp. 4029-4041, 1989. D.A. Cardimona, V. Kovanis, M.P. Sharma, and A. Gavrielides, “Quantum collapses and revivals in a nonlinear Jaynes-Cummings model,” Phys. Rev. A, Vol. 43, pp. 3710-3723, 1991. A.-S.F. Obada, M.M.A. Ahmed, E.M. Khalil, and S.I. Ali, “Entangled two two-level atoms interacting with a cavity field in the presence of the stark shift terms,” Opt. Commun., Vol. 287, pp. 215-223, 2013. V. Buzek, “The Jaynes-Cummings model with a q-analogue of a coherent state,” J. Mod. Opt., Vol. 39, pp. 949-959, 1992. G.S. Agarwal and R.R. Puri, “Collapse and revival phenomenon in the evolution of a resonant field in a Kerr-like medium,” Phys. Rev. A, Vol. 39, pp. 2969-2977, 1989. P. Gora and C. Jedrzejek, “Nonlinear Jaynes-Cummings model,” Phys. Rev. A, Vol. 45, pp. 6816-6828, 1992. O. De los Santos-Sanchez, C. Gonzalez-Gutierrez, and J. Recamier, “Nonlinear Jaynes–Cummings model for two interacting two-level atoms,” J. Phys. B: At. Mol. Opt. Phys., Vol. 49, pp. 165503(1-16), 2016. C.V. Sukumar and B. Buck, “Multi-phonon generalisation of the Jaynes-Cummings model,” Phys. Lett. A, Vol. 83, pp. 211-213, 1981. S. Sivakumar, “Nonlinear Jaynes-Cummings model of atom-field interaction,” Int. J. Theor. Phys., Vol. 43, pp. 2405-2421, 2004. O. De los Santos-Sanchez and J. Recamier, “The f-deformed Jaynes–Cummings model and its nonlinear coherent states,” J. Phys. B: At. Mol. Opt. Phys., Vol. 45, pp. 015502(1-5), 2012. M. Jimbo, “A q-analogue of U(gl(N+1)), Hecke algebra, and the Yang-Baxter equation,” Lett. Math. Phys., Vol. 11, pp. 247-252, 1986. M. Chaichian, D. Ellinas, and P. Kulish, “Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model,” Phys. Rev. Lett., Vol. 65, pp. 980-983, 1990. E. Ghasemian and M.K. Tavassoly, “Dynamics of an atomic Bose-Einstein condensate interacting with nonlinear quantized field under the influence of Stark effect,” Physica A, Vol. 562, pp. 125323(1-5), 2021. H. Fakhri, S. Mirzaei, and M. Sayyah-Fard, “Two-photon Jaynes-Cummings model: a two-level atom interacting with the para-Bose field,” Quantum Inf. Process., Vol. 20, pp. 398(1-8), 2021. M.F. Fang and X. Liu, “Influence of the Stark shift on the evolution of field entropy and entanglement in two-photon processes,” Phys. Lett. A, Vol. 210, pp. 11-20, 1996. B. Ghosh, A.S. Majumdar, and N. Nayak, “Control of atomic entanglement by the dynamic Stark effect,” J. Phys. B: At. Mol. Opt. Phys., Vol. 41, pp. 065503(1-5), 2008. M. Yonac, T. Yu, and J.H. Eberly, “Pairwise concurrence dynamics: four-qubit model,” J. Phys. B: At. Mol. Opt. Phys., Vol. 40, pp. S45 S59, 2007. M. Yonac, T. Yu, and J.H. Eberly, “Sudden death of entanglement of two Jaynes–Cummings atoms,” J. Phys. B: At. Mol. Opt. Phys., Vol. 39, pp. S621-S625, 2006. W.K. Wootters, “Entanglement of formation of an arbitrary state of two qubits,” Phys. Rev. Lett., Vol. 80, pp. 2245-2248, 1998. C. Stanley, M. Reid, and Z. Ficek, “Entanglement dynamics of two atoms in a cavity,” J. Phys. B: At. Mol. Opt. Phys., Vol. 43, pp. 215505(1-6), 2010. E.T. Jaynes and F.W. Cummings, “Comparison of quantum and semiclassical radiation theories with application to the beam maser,” Proc. IEEE, Vol. 51, pp. 89-109, 1963. M.H. Naderi and M. Soltanolketabi, “Entanglement between two two-level atoms interacting with a nonlinear cavity field,” Eur. Phys. J. D, Vol. 39, pp. 471-479, 2006. M.H. Naderi, “Entanglement and quantum information processing in a nonlinear Jaynes-Cummings model,” Can. J. Phys., Vol. 85, pp. 1071-1096, 2007.

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