caa a22 4500 463196503 CHVBK 20180406164924.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s10773-006-9220-2 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9220-2 Sensitive Response of the Quantum Entropies to Jaynes-Cummings Model in Presence of a Second Harmonic Generation [Elektronische Daten] [M. Abdalla, M. Abdel-Aty, A.-S. Obada] The behavior of a modified Jaynes-Cummings Hamiltonian model (two-level atom in interaction with an electromagnetic field) in the presence of degenerate parametric amplification is introduced. We have examined two different cases, one when the field frequency ω is not equal to the splitting photon frequency ε for which the off-resonance case is considered. In the second case we have taken each frequencies to be equal (ω = ε) and considered the system to be at exact resonance. The wave function for both cases is obtained and the result used to calculate the density matrix from which we manage to discuss the field entropy as well as the phase entropy. It is shown that the system is sensitive to any change in the splitting photon frequency ε. Springer Science + Business Media, Inc., 2007 JC model-parametric amplifier nationallicence entropy squeezing nationallicence Abdalla M. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, Saudi Arabia aut Abdel-Aty M. Mathematics Department, Faculty of Science, South Valley University, 82524, Sohag, Egypt aut Obada A.-S Mathematics Department, Faculty of Science, Al-Azhar University, 11884, Nasr City, Cairo, Egypt aut International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/3(2007-03-01), 637-651 0020-7748 46:3<637 2007 46 10773 https://doi.org/10.1007/s10773-006-9220-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9220-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abdalla M. Mathematics Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, Saudi Arabia aut NATIONALLICENCE 700 1- Abdel-Aty M. Mathematics Department, Faculty of Science, South Valley University, 82524, Sohag, Egypt aut NATIONALLICENCE 700 1- Obada A.-S Mathematics Department, Faculty of Science, Al-Azhar University, 11884, Nasr City, Cairo, Egypt aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 46/3(2007-03-01), 637-651 0020-7748 46:3<637 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer