Exact Calculations for One Photon Micromaser with Coherent Inputs II
Abstract
We introduce results for the second part of our calculations for the action of a single atom and one photon micromaser when atoms are coherently injected into a microwave cavity and for the case when the atomic probabilities are |α|≠0 and |β|≠0. During the presence of the atom inside the cavity, the field couples to a heat bath at temperature T. The results of this second part and those of the first part of our work give complete information for the behaviour of the micromaser field for the two cases of injected atoms, namely |α|=1, |β|=0, and |α|≠0, |β|≠0. We have found that the evolution of the field after a sufficient number of atoms had passed the cavity shows a steady state when the repetition time T_pis much greater than the interaction time t_int. We also found that the trapping state at n = 3 plays an important role in the early dynamics of the field within the cavity. Finally, we found that the field evolved towards a mixed state and not a pure state. This prevention of purity because of the presence of decay of the field inside the cavity, the presence of the trapping state at n = 3 (centered between the two trapping states at photon number n = 0 and at a photon number n = 15) preventing the field from developing towards a pure state, and finally the presence of the black body radiation field initially in the cavity at temperature T.
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References
[1]- P.Filipowicz, J. Javaninen, and P. Meystre, (1986), Theoy of a Microscopic Maser, Phys. Rev. A34, 3077.
[2]- L. Lugiato, M.O. Scully, and H. Walther,1987, The One-Atom Maser and the Generation of Non-Classical Light, Phys. Rev. A36, 740.
[3]- R.K.Bullough, Nayak and B.V. Thompson: in "Recent development in quantum Optics" edt. by R. Ingova (Plenum N.Y. 1993).pp 273-288
[4]- P.Lougovski, F.Casagrande, A. Lulli, B.G. Englert, E. Solano, and H.Walther, (2004), Solvable Model of a Strongly Driven Micromaser, Phys. Rev. A 69, 023812 (2004).
[5]- F.Casagrande, B.G. Englert, P. Lougovski, A. Lulli, E.Solano, and H. Walther, Opt. Spectrosc. 99, (2005), 30
[6]- B. K. Agarwalla, M. Kulkami, and D. Segal (2019), Photon Statistics of a Double Quantum Dot Micromaser: Quantum Treatment, Phys. Rev. B100, 035412
[7]- D. Yu, L. Chuan Kwek, L . Amico, and R. Dumke, (2017), Theoretical description of a micromaser in the ultrastrong-coupling regime, Phys. Rev. A95, 53811
[8]- A.M. Kremid, (2009),The Effect of the Negative Binomial Distribution on the Line-width of the Micromaser Cavity Field, AL-NAWAH, 8 (12), (2009), 14-20
[9]- Rempe G, Walther H, Klein N,(1987) Observation of Quantum Collapse and Revival in a One- Atom Maser, Phys Rev Lett. 353-356.
[10]- S. Brattke, G.R. Guthohrlein, M. Keller, W. Lange, B. Varcoe and H. Walther,(2003), Generation of Photon Number States on Demand, J.Mod. Optics. 50 (6-7), 1103-1113
[11]- M.Weidinger, B.T.H.Varcoe, R.Heerlein and H.Walther,(1999), Trapping States in the Micromaser, Phys. Rev. Lett, 82, (19), 3795-3798
[12]- B.T.H. Vorcoe, S. Brattke and H. Walther, (2004), N. J. Phys. 6, 97-118
[13]- A.M. Kremid, (2019), Exact Calculations For One Photon Micromaser With Coherent Inputs I, Int. J. App. Sci., Vol.1, Issu.1, 176- 190, Elbeida- Libya ISSN: 2208-2182
[14]- G.S.Agarwal, (1974), Quantum statistical theories of spontaneous emission and their relation to other approaches: quantum optics, in "Springer Tracts in Modern Physics" vol, 70 (Springer Verlag)
[15]- E.T.Jaynes and F.W.Cummings, (1963), Comparison of quantum and semiclassical radiation theories with application to the beam maser Process, Proc.IEEE, 51, 89.
[16]- P.Bogar, J.A.Berguo and M.Hillery, (1995), Pump-coupled micromasers, Entangled trapping states of nonlocal fields, Phys. Rev. A51, 2381.
[17]- J.J. Slosser, P. Meystre, E.M. Wright, (1990), Generation of macroscopic superpositions in a micromaser, Opt. Lett. 15, 233
[18]- L. L. de Guevara, M. Orszag, R. Ramires and L. Roa, (1997), Cooperative Effects in a One Photon Micromaser with Atomic Polarization, phys. Rev. A55, 2471.
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