315
Views
0
CrossRef citations to date
0
Altmetric
Research Article

Effect of Mth coherent state on the interaction between two two-level atoms and two-mode quantized field

ORCID Icon &
Pages 1053-1064 | Received 11 Apr 2022, Accepted 23 Oct 2022, Published online: 05 Nov 2022

References

  • Jayness ET, Cummings FW. Comparison of quantum and semiclassical radiation theories with application to the beam maser. Proc IEEE. 1963;51:89–109.
  • Tavis M, Cummings M. Exact solution for an N-molecule-radiation-field Hamiltonian. Phys Rev. 1968;170:379–384.
  • Ekert AK. Quantum cryptography based on Bell'stheorem. Phys Rev Lett. 1991;67:661–663.
  • Walls DF, Milburn GJ. Quantum optics. Berlin: Springer; 1994.
  • Furusawa A., Sørensen J.L., Braunstein S.L., et al. Unconditional quantum teleportation. Science. 1998;282(5389):706–709.
  • Jeong H, Kim MS. Quantum Inf Comput. 2002;2:208.
  • DeVoe RG, Brewer RG. Observation of superradiant and subradiant spontaneous emission of two trapped ions. Phys Rev Lett. 1996;76(12):2049.
  • Turchette Q.A., Wood C.S., King B.E., et al. Deterministic entanglement of two trapped ions. Phys Rev Lett. 1998;81(17):3631.
  • Hagley E., Maitre X., Nogues G., et al. Generation of Einstein–Podolsky–Rosen pairs of atoms. Phys Rev Lett. 1997;79(1):1.
  • Rempe G, Walther H, Klein N. Observation of quantum collapse and revival in a one-atom maser. Phys Rev Lett. 1987;58(4):353.
  • Werner RF. Quantum information – an introduction to basic theoretical concepts and experiments. Heidelberg: Springer; 2001. (Springer Tracts Modern Phys; Vol. 173).
  • Bennet CH, Weisner SJ. Communication via one- and two-particle operators on Einstein–Podolsky–Rosenstates. Phys Rev Lett. 1992;69(20):2881.
  • Perina J. Quantum statistics of linear and nonlinear optical phenomena. Dordrecht: Reidel; 1984.
  • Scully MO, Zubairy MS. Quantum optics. Cambridge: Cambridge University Press; 2005.
  • Meystre P., Zubairy M.S.. Squeezed states in the Jaynes–Cummings model. Phys Lett A. 1982;89(8):390.
  • Aravind PK, Hu GH. Influence of initial conditions on squeezing and anti-bunching in the Jaynes–Cummings model. Physica B+C. 1988;150(3):427.
  • Fang MF, Swain S, Zhou P. Super-revivals, chaos, and entanglement of a trapped ion in a standing wave. Phys Rev A. 2000;63(1):013812.
  • Nahla AA, Ahmed MMA. Nonclassical properties of asymmetric two two-level atoms interacting with multi-photon quantized field. Int J Mod Phys. 2018;32(23):1850250.
  • Nahla AA, Ahmed MMA. Sensitivity measurement for asymmetric two two-level atoms interacting with field obeys SU(1, 1) Lie group via atomic inversion. J Taibah Univ Sci. 2019;13(1):309–317.
  • Nahla AA, Ahmed MMA, Alamri SZ. Analytical computation of nonclassical behavior for asymmetric two two-level atoms interacting with SU(1, 1) quantum system. Eur Phys J D. 2019;73(3):44.
  • Nahla AA, Ahmed MMA. Multiphoton processes of two modes of quantized field interaction with interacting asymmetric two two-level atoms. Int J Theor Phys. 2021;60:3666–3688.
  • Klauder JR, Skagerstam B. Coherent states. Singapore: World Scientific; 1985.
  • Gazeau JP. Coherent states in quantum physics. Berlin: Wiley-VCH; 2009.
  • Knöll L., Orl/owsk A.. Distance between density operators: applications to the Jaynes–Cummings model. Phys Rev A. 1995;51(2):1622.
  • Orl/owski A, Paul H, Kastelewicz G. Dynamical properties of a classical-like entropy in the Jaynes–Cummings model. Phys Rev A. 1995;52(2):1621.
  • Agarwal GS. Quantum optics. Cambridge: Cambridge University Press; 2013.
  • Othman A, Yevick D. Quantum properties of the superposition of two nearly identical coherent states. Int J Theor Phys. 2018;57:2293–2308.
  • Othman AA. The Mth coherent state. Int J Theor Phys. 2019;58:2451–2463.
  • Othman A. Teleportion via the entangled derivative of coherent state. Quantum Inf Comput. 2019;19:0014–0022.
  • Dehghani A, Mojaveri B, Aryaie M, et al. Superposition of two-mode “Near” coherent states: non-classicality and entanglement. Quantum Inf Proc. 2019;18(5):148.
  • Dehghani A, Mojaveri B, Bahrbeig RJ. “Near”-cat states nonclassicality and generation. J Russ Laser Res. 2019;40:121–131.
  • Dehghani A, Mojaveri B, Alenabi AA. Excitation and depression of coherent state of the simple harmonic oscillator. 2019;60:083501.
  • Othman AA. Mth coherent state induces patterns in the interaction of a two-level atom in the presence of nonlinearities. Int J Theor Phys. 2021;60:1574–1592.
  • Abdalla MS, Khalil EM, Obada A-SF, et al. Quantum statistical characteristics of the interaction between two two-level atoms and radiation field. Eur Phys J Plus. 2015;130:227.
  • Husimi K. Some formal properties of the density matrix. Proc Phys Math Soc Jpn. 1940;22:264–314.