Simulation and Comparison Possibility of Cavity Quantum Systems at Different Levels in Various Regimes, Coupled with the Fock and Coherent Initial Conditions
In this article, we have given the size of the coupling constant, a system of quantum electro-dynamics in weak coupling regime, strong and very strong case our analysis and simulation. Also by choosing the type of quantum system and the electrical field of the electromagnetic wave, the size of Rabi frequency to the extent that we are less than excited states and photons in the cavity decay rate is. In this case, the interaction between the quantum system and electromagnetic field coupling regime is weak. It is one of the properties of quantum light emitting modes of the cavity modes can be in resonance with each other, resulting in a sudden increase in the spontaneous emission rate, causing a sharp peak in the density of the spontaneous emission spectrum. The nature of this regime leads to appropriate in light production applications, such as it is possible to increase efficiency, reduce the threshold lasers emitting light in alignment with the vertical cavity structure light emitting diodes noted. Also property is listed under the regime of entangled photons is used in the production of instant. While this research, the rotating wave approximation is used in this context, survival and annihilation operators of photons Sinusoidal behavior.
 D. Press et al., “Photon anti bunching from a single quantum-dot-micro cavity system in the strong coupling regime,” Phys. Rev. Lett., vol. 98, pp. 117402-117405, 2007.
 J. P. Reithmaier et al., “Strong coupling in a single quantum dot–semiconductor micro cavity system,” Nature, vol. 432, pp.197-200, 2004.
 D. Englund, “Controlling the spontaneous emission rate of single quantum dots in a 2D photonic crystal,” Phys. Rev. Lett. vol. 95, pp. 013904-013908, 2005.
 A. Anappara et al., “Signatures of the ultra strong light-matter coupling regime,” Phys. Rev. B, vol. 79, pp. 201303-201306, 2009.
 T. Niemczyk et al., “Circuit quantum electrodynamics in the ultra strong-coupling regime,” Nat. Phys. vol. 6,pp 772, 2010.
 A. H. Sadeghi et al., “Interaction of Quantum Dot Molecules with Multi-mode Radiation Fields,” Scientia Iranica, vol. 17, pp. 59-70, 2010.
 Y. Todorov et al., “Ultra strong Light-Matter Coupling Regime with Polariton Dots,” Phys. Rev. Lett.vol. 105, pp. 196402-196405, 2010.
 M. Geiser et al., “Ultra strong Coupling Regime and Plasmon Polaritons in Parabolic Semiconductor Quantum Wells,” Phys. Rev. Lett.vol. 108, pp. 106402-1066406, 2012.
 G. Scalari et al., “Ultra strong Coupling of the Cyclotron Transition of a 2D Electron Gas to a THz Met material,” Science, vol. 335 no. 6074 pp. 1323-1326, 2012.
 S. D. Liberato “Quantum Vacuum Radiation Spectra from a Semiconductor Micro cavity with a Time-Modulated Vacuum Rabi Frequency,” Phys. Rev. Lett. vol. 98, pp.103602-103605, 2007.
 G. Günter et al., “Sub-cycle switch-on of ultra strong light–matter interaction,” Nature, vol. 458, pp. 178-181, 2009.
 A. Laucht et al., “Electrical control of spontaneous emission and strong coupling for a single quantum dot,” New J. Phys., vol. 11, pp. 023034, 2009.
 M. Kaniber et al., “Highly efficient single-photon emission from single quantum dots within a two dimensional, photonic band-gap,” Phys. Rev. B, vol. 77, 073312-073315, 2008.