Nonlinear Jaynes-Cummings model of atom-field interaction

Interaction of a two-level atom with a single mode of electromagnetic field including Kerr nonlinearity for the field and intensity-dependent atom-field coupling is discussed. The Hamiltonian for the atom-field system is written in terms of the elements of a closed algebra, which has SU(1,1) and Heisenberg-Weyl algebras as limiting cases. Eigenstates and eigenvalues of the Hamiltonian are constructed. With the field being in a coherent state initially, the dynamical behaviour of atomic-inversion, field-statistics and uncertainties in the field quadratures are studied. The appearance of nonclassical features during the evolution of the field is shown. Further, we explore the overlap of initial and time-evolved field states.Comment: 14 pages, 6 figures is PS forma

Synthesis, characterization, molecular docking and antimicrobial activity studies of novel oxadiazole derivatives

In order to generate new chemotherapeutics with significant anticancer and bioactivity, a series of new 6-(4-((5- (substituted phenyl)-1,3,4-oxadiazol-2-yl)methyl)piperazin- 1-yl)-3-nitroimidazo[1,2-b]pyridazine (4a-f) were designed and synthesized. The structures of compounds were confirmed using elemental analysis, NMR and Mass spectral data. On the basis of molecular docking with the BAX protein, the chemicals were evaluated for their anticancer potential. The anti-apoptotic protein Bcl-2 is over expressed in a variety of cancer cells inhibiting apoptosis. Bcl-2 family members are mostly known as mitochondrial outer membrane integrity regulators. Anti and pro-apoptotic members of the Bcl-2 protein family regulate mitochondrial outer-membrane permeabilization (MOMP) and mitochondrial dysfunction in an antagonistic manner. BAX docked well into ligand 3d and docking score was -7.3 kcal/mol. Also, all the derivatives were screened for antibacterial and antifungal activity (disc diffusion method).</jats:p