Wed, May 18, 2022
**[Archive]**

BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks

Asili Firouzabadi N, Tavassoly M K. Interaction of a Three-Level Atom (Λ, V, Ξ) with a Two-Mode Field Beyond Rotating Wave Approximation: Intermixed Intensity-Dependent Coupling. IJOP. 2021; 15 (2) :151-166

URL: http://ijop.ir/article-1-464-en.html

URL: http://ijop.ir/article-1-464-en.html

Type of Study: Research |
Subject:
Special

Received: 2021/08/13 | Revised: 2022/01/8 | Accepted: 2022/01/12 | Published: 2022/02/20

Received: 2021/08/13 | Revised: 2022/01/8 | Accepted: 2022/01/12 | Published: 2022/02/20

1. 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. [DOI:10.1109/PROC.1963.1664]

2. X-S Li and N-Y Bei, "A generalized three-level Jaynes-Cummings model," Phys. Lett. A, Vol. 101, pp. 169-174, 1984. [DOI:10.1016/0375-9601(84)90517-6]

3. G. Benivegna and A. Messina, "New quantum effects in the dynamics of a two-mode field coupled to a two-level atom," J. Mod. Opt. Vol. 41, pp. 907-925, 1994. [DOI:10.1080/09500349414550871]

4. V. Buzek, "Jaynes-Cummings model with intensity-dependent coupling interacting with Holstein-Primakoff SU (1, 1) coherent state," Phys. Rev. A, Vol. 39, pp. 3196-3199, 1989. [DOI:10.1103/PhysRevA.39.3196] [PMID]

5. R.R. Puri, Mathematical Methods of Quantum Optics, Springer Series in Optical Sciences, 79, 2001. [DOI:10.1007/978-3-540-44953-9]

6. A.B. Klimov, I. Sainz, and S.M. Chumakov, "Resonance expansion versus the rotating-wave approximation," Phys. Rev. A, Vol. 68, pp. 063811 (1-8), 2003. [DOI:10.1103/PhysRevA.68.063811]

7. M. Abdel-Aty, "The Pancharatnam phase of a two-level atom in the presence of another two-level atom in a cavity," J. Opt. B, Vol. 5, pp. 349-354, 2003. [DOI:10.1088/1464-4266/5/4/304]

8. J.S. Pedernales, I. Lizuain, S. Felicetti, G. Romero, L. Lamata, and E. Solano, "Quantum Rabi model with trapped ions," Sci. Rep. Vol. 5, pp. 15472 (1-7), 2015. [DOI:10.1038/srep15472] [PMID] [PMCID]

9. D. Ballester, G. Romero, J.J. García-Ripoll, F. Deppe, and E. Solano, "Quantum simulation of the ultrastrong-coupling dynamics in circuit quantum electrodynamics," Phys. Rev. X, Vol. 2, pp. 021007 (1-6), 2012. [DOI:10.1103/PhysRevX.2.021007]

10. D. Lv, S. An, Z. Liu, J.N. Zhang, J.S. Pedernales, L. Lamata, E. Solano, and K. Kim, "Quantum simulation of the quantum Rabi model in a trapped ion," Phys. Rev. X, Vol. 8, pp. 021027 (1-11), 2018. [DOI:10.1103/PhysRevX.8.021027]

11. X. Li, M. Bamba, Q. Zhang, S. Fallahi, G.C. Gardner, W. Gao, M. Lou, K. Yoshioka, M.J. Manfra, and J. Kono, "Vacuum Bloch-Siegert shift in Landau polaritons with ultra-high cooperativity," Nature Photon. Vol. 12, pp. 324-329, 2018. [DOI:10.1038/s41566-018-0153-0]

12. D. Leibfried, R. Blatt, C. Monroe, and D. Wineland, "Quantum dynamics of single trapped ions," Rev. Mod. Phys. Vol. 75, pp. 281-325, 2003. [DOI:10.1103/RevModPhys.75.281]

13. E.K. Irish and K. Schwab, "Quantum measurement of a coupled nanomechanical resonator-Cooper-pair box system," Phys. Rev. B, Vol. 68, pp. 155311-155318, 2003. [DOI:10.1103/PhysRevB.68.155311]

14. A. Wallraf, D.I. Schuster, A. Blais, L. Frunzio, R.S. Huang, J. Majer, S. Kumar, S.M. Girvin, and R.J. Schoelkopf, "Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics," Nature, Vol. 431, pp. 162-167, 2004. [DOI:10.1038/nature02851] [PMID]

15. I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C.J.P.M. Harmans, and J.E. Mooil, "Coherent dynamics of a flux qubit coupled to a harmonic oscillator," Nature, Vol. 431, pp. 159-162, 2004. [DOI:10.1038/nature02831] [PMID]

16. T. Liu, K.L. Wang, and M. Feng, "The generalized analytical approximation to the solution of the single-mode spin-boson model without rotating-wave approximation," Europhys. Lett. Vol. 86, pp. 54003 (1-6), 2009. [DOI:10.1209/0295-5075/86/54003]

17. S. Abdel-Khalek, Y.S. El-Saman, I. Mechai, and M. Abdel-Aty, "Geometric phase and entanglement of a three-level atom with and without rotating wave approximation," Brazilian J. Phys. Vol. 48, pp. 1-7, 2018. [DOI:10.1007/s13538-017-0537-5]

18. R.H. Xie, G.O. Xu, and D.H. Liu,, "Study of Nonclassical Features and Quantum Dynamics in the Jaynes-Cummings Model Without RWA" Commun. Theoret. Phys. Vol. 27, pp. 385-394, 1997. [DOI:10.1088/0253-6102/27/4/385]

19. J.S. Peng and G.X. Li, "Phase fluctuations in the Jaynes-Cummings model with and without the rotating-wave approximation," Phys. Rev. A, Vol. 45, pp. 3289 3294, 1992. [DOI:10.1103/PhysRevA.45.3289] [PMID]

20. J.S. Peng and G.X. Li, "Inhuence of the virtual-photon processes on the squeezing of light in the two-photon Jaynes-Cummings model," Phys. Rev. A, Vol. 47, pp. 3167-3172, 1993. [DOI:10.1103/PhysRevA.47.3167] [PMID]

21. K. Guo-Dong, F. Mao-Fa, O. Xi-Cheng, and D. Xiao-Juan, "Entanglement of two atoms interacting with a dissipative coherent cavity field without rotating wave approximation," Chin. Phys. B, Vol. 19, pp. 110303-110310, 2010. [DOI:10.1088/1674-1056/19/11/110303]

22. Q.H. Chen, Y. Yang, T. Liu, and K.L. Wang, "Entanglement dynamics of two independent Jaynes-Cummings atoms without the rotating-wave approximation," Phys. Rev. A, Vol. 82, pp. 052306 (1-7), 2010. [DOI:10.1103/PhysRevA.82.052306]

23. Z. Ling, S. He-shan, and Y. Li, "The two-photon degenerate Jaynes-Cummings model with and without rotating-wave approximation," Chin. Phys. Vol. 10, pp. 413-419, 2001. [DOI:10.1088/1009-1963/10/5/310]

24. Z. Ficek, J. Jing, and Z.G. Lü, "Role of the counter-rotating terms in the creation of entanglement between two atoms," Phys. Scripta, Vol. 140, pp. 014005 (1-6), 2010. [DOI:10.1088/0031-8949/2010/T140/014005]

25. Z. Chen, Y. Wang, T. Li, L. Tian, Y. Qiu, K. Inomata, F. Yoshihara, S. Han, F. Nori, J.S. Tsai, and J.Q. You, "Single-photon-driven high-order sideband transitions in an ultrastrongly coupled circuit-quantum-electrodynamics system," Phys. Rev. A, Vol. 96, pp. 012325 (1-12), 2017. [DOI:10.1103/PhysRevA.96.012325]

26. X. Zhang, N. Zhu, C.L. Zou, and H.X. Tang, "Optomagnonic whispering gallery microresonators," Phys. Rev. Lett. Vol. 117, pp. 123605-123610, 2016. [DOI:10.1103/PhysRevLett.117.123605] [PMID]

27. M.H. Naderi, "The Jaynes-Cummings model beyond the rotating-wave approximation as an intensity-dependent model: quantum statistical and phase properties," J. Phys. A: Math. Theor. Vol. 44, pp. 055304 (1-19), 2011. [DOI:10.1088/1751-8113/44/5/055304]

28. A.B. Klimov and S.M. Chumakov, A group-theoretical approach to quantum optics: models of atom-field interactions, John Wiley & Sons, 2009. [DOI:10.1002/9783527624003]

29. M.R. Nath, S. Sen, and G. Gangopadhyay, "Dynamics of cascade three-level system interacting with the classical and quantized field," Pramana - J. Phys. Vol. 61, pp. 1089-1100, 2003. [DOI:10.1007/BF02704404]

30. M. Rastegarzadeh and M.K. Tavassoly, "Interaction of a Λ-type three-level atom with a single-mode field without rotating wave approximation: perturbation theory approach," Phys. Scripta, Vol. 90, pp. 025103 (1-10), 2015. [DOI:10.1088/0031-8949/90/2/025103]

31. B. Buck and C.V. Sukumar, "Exactly soluble model of atom-phonon coupling showing periodic decay and revival," Phys. Lett. A, Vol. 81, pp. 132-135, 1981. [DOI:10.1016/0375-9601(81)90042-6]

32. C.V. Sukumar and B. Buck, "Multi-phonon generalisation of the Jaynes-Cummings model," Phys. Lett. A, Vol. 83, pp. 211-213, 1981. [DOI:10.1016/0375-9601(81)90825-2]

33. R. Pakniat, M.K. Tavassoly, and M.H. Zandi, "Entanglement swapping and teleportation based on cavity QED method using the nonlinear atom-field interaction: Cavities with a hybrid of coherent and number states," Opt. Commun. Vol. 382, pp. 381-385, 2017. [DOI:10.1016/j.optcom.2016.08.021]

34. M.K. Tavassoly and F. Yadollahi, "Dynamics of states in the nonlinear interaction regime between a three-level atom and generalized coherent states and their non-classical features," Int. J. Mod. Phys. B, Vol. 26, pp. 1250027-1250046, 2012. [DOI:10.1142/S0217979212500270]

35. H.R. Baghshahi and M.K. Tavassoly, "Dynamics of different entanglement measures of two three-level atoms interacting nonlinearly with a single-mode field," Eur. Phys. J. Plus, Vol. 130, pp. 1-13, 2015. [DOI:10.1140/epjp/i2015-15037-1]

36. A. Karimi and M.K. Tavassoly, "Quantum engineering and nonclassical properties of SU (1, 1) and SU (2) entangled nonlinear coherent states," J. Opt. Soc. Am. B, Vol. 31, pp. 2345-2353, 2014. [DOI:10.1364/JOSAB.31.002345]

37. L.N. Childs, A Concrete Introdution to Higher Algebra, Springer, 3rd Ed. 2008. [DOI:10.1007/978-0-387-74725-5]

38. S. Shahidani, M.H. Naderi, and M. Soltanolkotabi, "Dynamical evolution of nonclassical properties in cavity quantum electrodynamics with a single trapped ion," Int. J. Opt. Photon. Vol. 1, pp. 55-60, 2007.

39. M.H. Naderi, and S. Salimian Rizi, "Coherent transport of single photon in a quantum super-cavity with mirrors composed of λ-type three-level atomic ensembles," Int. J. Opt. Photon. Vol. 8, pp. 31-39, 2014.

40. M. Fani and M.H. Naderi, "Coherent transport of single photon in a quantum super-cavity with mirrors composed of λ-type three-level atomic ensembles," Int. J. Opt. Photon. Vol. 4, pp. 113-120, 2010.

Rights and permissions | |

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |