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Zhongguo kexue. Wulixue Lixue Tianwenxue

Quantum coherent control and quantum holography by the shaped chirped laser pulse

Ren Li

Published Jan 1, 2011• 0 citations
OpenAlex

Abstract

We study the interaction between the shaped chirped laser pulse and a two-level atomic system. The analytical solution of the population probability on the excited state is obtained by the first order perturbation theory. We show that the temporal evolution of the wave function on the excited state is similar to the grating diffraction. By varying the modulation adepth and the compensation phase we demonstrate that the quantum coherent control for the population probability on the excited state can be achieved. We present a new method for measuring the wave function by the quantum holography principle.

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We study the interaction between the shaped chirped laser pulse and a two-level atomic system. The analytical solution of the population probability on the excited state is obtained by the first order perturbation theory. We show that the temporal evolution of the wave function on the excited state is similar to the grating diffraction. By varying the modulation adepth and the compensation phase we demonstrate that the quantum coherent control for the population probability on the excited state can be achieved. We present a new method for measuring the wave function by the quantum holography principle.
Abstract In this study, the nonresonant two-photon absorption process in a two-level atom, induced by a weak chirped pulse, is theoretically investigated in the frequency domain. An analytical expression of the wave function expressed by Fresnel functions is obtained, and the two-photon transition probability (TPTP) versus the integral bandwidth, spectral width, and chirp parameter is analyzed. The results indicate that the oscillation evolution of the TPTP result from quantum diffraction of the wave function, which can be explained by analogy with Fresnel diffraction from a wide slit in the spatial domain. Moreover, the ratio between the real and imaginary parts of the excited state wave function and, hence, the atomic polarization, can be controlled by the initial phase of the excitation pulse. In some special initial phase of the excitation pulse, the wave functions with purely real or imaginary parts can be obtained by measuring the population probability. This work provides a novel perspective for understanding the physical details of the interactions between atoms and chirped light pulses in the multiphoton process.
We investigate the interaction between a two-level atomic system and a phase controllable light field. The quantum diffraction of the population probability for the excited state is described analytically. The physical sense of the wave function evolution is analyzed in detail. The polarization of the atoms is shown with the help of Cornu spiral of the wave function and the temporal evolution of the real and imaginary part for the wave function. It is shown that the polarization of the atoms and the temporal evolution of the wave function as well as the propagation of light can be controlled by manipulating the phase of the light field.
The excitation of a two-level system by a chirped laser pulse is analyzed using an analytical approach (in the perturbation-theory limit) that involves the modified rotating-wave approximation and the numerical solution to the Bloch equation. The dependence of the population of the upper energy level on the chirp is studied for various radiation intensities and pulse durations. An exact solution is compared with the result obtained using the modified rotating-wave approximation and the perturbation theory. It is demonstrated that, for a certain range of parameters, the excitation probability of a two-level system can be effectively controlled via a variation in the chirp.