Rydberg atoms are important building blocks for quantum technologies, exploited to new applications in quantum computing, quantum communication and quantum sensing due to their unique tunable quantum properties.Besides the widely-used few-photon resonant excitation for the specific Rydberg state, multiple Rydberg states can be populated coherently and effciently through the frustrated tunneling ionization or the Coulomb potential recapture effect in strong laser field. The Rydberg states excitation in strong field provides an opportunity to realize the ultrafast quantum control on Rydberg atom and bridge the strong field physics and quantum information technology.
Using the Classical Trajectory Monte Carlo method and Qprop package to solve Time-Dependent increases with the parameter of the asymmetric laser envelope. Based on the Quantitative Rescattering theory, the calculated time-dependence of recapture rate is negatively related to the laser envelope and the residual laser interaction time, which is termed as envelope effect. Combined with the carrier-wave effect, an analytic formula is proposed to calculate the Rydberg states population:$Y(t) \propto W_0(t) \frac{t-\tau+c}{f(t)} \cos (\omega t+\phi)$ This results open the door to enhance the Rydberg states generation using the laser envelope control, benefiting the future quantum technology based on the Rydberg states generated in the strong laser field.(a) Laser electric fields with the same pulse duration τ = 10T ₀and different asymmetric parameters α. Black solid line, red dashed line and blue dashed-dotted line are for α = -0.6, 0, 0.6 respectively. (b) The yields of Rydberg states change with the asymmetric parameter under different laser pulse duration. Black solid line, red dashed line and blue dashed-dotted line are for τ = 1010T ₀, 1510T ₀, 2010T ₀respectively. Schrödinger Equation, we calculate the population of Rydberg states. Our results show that the population.