Exact Solutions of the Bloch Equations of a Two-Level Atom Driven by the Generalized Double Exponential Quotient Pulses with Dephasing

We theoretically investigate a two-level atom driven by time-dependent external field with generalized double exponential temporal shape, in the presence of dephasing. Therefore, we provide exact analytical solutions for population inversion, real and imaginary parts coherence family chirped laser waveforms. demonstrate that remaining atomic inversion can be controlled manipulation pulse’s shape structure.