Quantum dynamic properties of photon-added trio coherent state in two-mode Jaynes-Cummings model
Vol. 131 No. 1C (2022), Original Article
Vol. 131 No. 1C (2022)

Quantum dynamic properties of photon-added trio coherent state in two-mode Jaynes-Cummings model

Original Article
https://doi.org/10.26459/hueunijns.v131i1D.6805
Published 2022-09-30
Le Thi Hong Thanh
Quang Nam University, 102 Hung Vuong St., Tam Ky City, Quang Nam, Vietnam
Truong Minh Duc*
Center for Theoretical and Computational Physics, University of Education, Hue University, 34 Le Loi St., Hue, Vietnam
PDF (Vietnamese)

How to Cite

1.
Le Thi Hong T, Trương M Đức. Quantum dynamic properties of photon-added trio coherent state in two-mode Jaynes-Cummings model. hueuni-jns [Internet]. 2022Sep.30 [cited 2024Nov.14];131(1C):25-34. Available from: http://222.255.146.83/index.php/hujos-ns/article/view/6805
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Abstract

In this paper, we studied the quantum dynamic properties via the two-mode Jaynes-Cummings (JC) model where an effective two-level atom interacts with a field in a photon-added trio coherent state (PATCS). The quantum dynamic properties of the atom and the field were investigated via the photon distribution function, the second-order correlation function of the same and different modes, and the probability of finding the atom in the excited state in the cavity. The results show the dynamic properties of the atom and the non-classical ones of the field in the PATCS. In addition to the factors that affect these dynamic properties, such as the original field strength, the role of adding photons to the modes of the field in the PATCS is important when compared with the field in the original state as the trio coherent state.

https://doi.org/10.26459/hueunijns.v131i1D.6805
PDF (Vietnamese)

References

  1. Simon JDP, Knight PL. Establishment of an entangled atom-field state in the Jaynes-Cummings model. Physical Review A. 1991;44(9):6023-6029.
  2. Ekert A. Quantum cryptography based on Bell's theorem. Physical Review Letters. 1991;67(6):661-663.
  3. Cory DG, Price MD, Maas W, Knill E, Laflamme R, Zurek WH, Havel TF, Somaroo SS. Experimental Quantum Error Correction. Physical Review Letters. 1998;81(10):2152-2155.
  4. Braunstein SL, Loock PV. Quantum information with continuous variables. Reviews of Modern Physics. 2000;77(2):513-577.
  5. Bennett CH, Brassard G, Crepeau C, Jozsa R, Peres A, Wootters WK. Teleporting an unknown quantum state via dual classic and Einstein-Podolsky-Rosen channels. Physical Review Letters. 1993;70(13):1895-1899.
  6. An NB, Kim J. Joint remote state preparation. Journal of Physics B: Atomic, Molecular and Optical Physics. 2008;41(9):095501.
  7. An NB. Quantum dialogue. Physics Letters A. 2004;328:6-10.
  8. Stoler D. Equivalence classes of minimum uncertainty packets I. Physical Review D. 1970;1(12):3217-3219.
  9. Caves CM, Schumaker BL. New formalism for two-photon quantum optics. I. Quadrature phases and squeezed states. Physical Review A. 1985;31:3068-3093.
  10. Agarwal GS, Biswas A. Quantitative measures of entanglement in pair-coherent state. Journal of Optics B: Quantum and Semiclassical Optics. 2005;7(11):350-354.
  11. An NB, Duc TM. Trio coherent state. Journal of Optics B: Quantum and Semiclassical Optics. 2002;4:80-85.
  12. An NB. Multimode higher-order antibunching and squeezing in trio coherent state. Journal of Optics B: Quantum and Semiclassical Optics. 2002;4(3):222-227.
  13. Duc TM, Dat TQ, An NB, Kim J. Scheme for the generation of freely traveling optical trio coherent states. Physical Review A. 2013;88(2):022320.
  14. Duc TM, Dat TQ, Chuong HS. Quantum entanglement and teleportation in superposition of multiple-photon-added two-mode squeezed vacuum state. International Journal of Modern Physics B. 2020;34(25):2050223.
  15. Dat TQ, Thang TM, Duc TM. Non-classical properties and generation schemes of superposition of multiple-photon-added two-mode squeezed vacuum state. Hue University Journal of science: Natural Science. 2021;130(1B):5-12.
  16. Yuan HC, Xu XX, Fan HY. Statistical properties of the generalized photon-added pair coherent state. International Journal of Theoritical Physics. 2009;48:3596-3606.
  17. Duc TM, Chuong HS, Dat TQ. Detecting nonclassicality and non-Gaussianity by the Wigner function and quantum teleportation in photon-added-and-subtracted two modes pair coherent state. Journal of Computational Electronics. 2021;20(6):2124-2134.
  18. Duc TM, Dat TQ. Enhancing nonclassical and entanglement properties of trio coherent states by photon-addition. Optik. 2020;210:164479.
  19. Duc TM, Hoai NTX, An NB. Sum squeezing, different squeezing, higer-order antibunching and entanglement of two-mode photon-added displaced squeezed states. International Journal of Theoritical Physics. 2013;53(3):899-910.
  20. Rempe G, Walther H, Klein N. Observation of quantum collapse and revival in a one-atom maser. Physical Review Letters. 1987; 58(4):353-356.
  21. Eberly JH, Narozhny NB, Sanchez-Mondragon JJ. Periodic spontaneous collapse and revival in a simple quantum model. Physical Review Letters. 1980;44(20):1323-1326.
  22. Hilery M. Squeezing and photon number in the Jaynes-Cummings model. Physical Review A. 1989;39(3):1556-1557.
  23. Shih-Chuan Gou. Time evolution of a two-mode Jaynes-Cummings model in the presence of pair-coherent state. Journal of Modern Optics. 1990;37(9):1469-1486.
  24. Thanh LTH, Duc TM. Dynamical properties of the field in generalized photon-added pair coherent state in the Jaynes-Cummings model. International Journal of Theoritical Physics. 2022;61(5):129
  25. Duc TM, Nha DH. Dynamical properties of the trio coherent states in the two-mode Jaynes-Cummings-model. Proceedings of the Ninth Asia Pacific Physics Conference (9th APPC), Hanoi, Vietnam. 2004;25-31.
  26. An NB. Dynamics of the field in trio coherent states interacting with an atom via multi-photon transitions. Journal of the Korean Physical Society. 2005;47(1):54-62.
  27. Dat TQ, Duc TM. Higer-order nonclassical and entanglement properties in photon-added trio coherent state. Hue University Journal of Science: Natural Science. 2020;129(1B):49-55.
  28. Christopher CC, Peter LK. Introductory Quantum Optics. Cambridge: Cambridge University Press; 2005.
  29. Pathak A, Garcia M. Control of higer order antibunching. Applied Physics B. 2000;84(3):479-484.
  30. Karlsson A, Bourennane M. Quantum teleportation using three-particle entanglement. Physcal Review A. 1998;58(6):4394-4400.
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