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Journal of Beijing Union University

Analysis of Oscillation of Population Probability in the Two-level System by Bloch Vector

Zhang Guoqian

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

The time evolution of population probability in two-level system under a linear frequency-chirped field is studied by mean of the density matrix equation of motion when the decay of the excited state is considered,and the physical mechanism of the oscillation in the process of the population transfer is analyzed using the dynamic evolution process of the Bloch vector under the picture of Bloch vector model.The result shows that the phenomenon of oscillation in the two-level system reveals the dynamic conversion transfer among population transfer,dispersion and absorption.

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The time evolution of population probability in two-level system under a linear frequency-chirped field is studied by mean of the density matrix equation of motion when the decay of the excited state is considered,and the physical mechanism of the oscillation in the process of the population transfer is analyzed using the dynamic evolution process of the Bloch vector under the picture of Bloch vector model.The result shows that the phenomenon of oscillation in the two-level system reveals the dynamic conversion transfer among population transfer,dispersion and absorption.
The temporal evolution of atomic transition in a two-level system under the frequency-chirped pulse field and its dynamic analysis are discussed respectively by means of the density matrix equation and the method of Bloch vector model.The result shows that the population probability oscillates in time domain under the effects of frequency-chirped pulse.The dynamic evolution process of the Bloch vector indicates that the oscillation of the population probability reflects the physical transformation process among the population transfer,dispersion and absorption in the system.
The temporal evolution of atomic transition in a two-state system under the frequency-modulated field and its dynamic evolution are discussed by means of the density matrix equation and the method of Bloch vector model respectively. The results show that the oscillation of population probability appears in time domain under the effects of frequency -modulated pulse.The dynamic evolution of the Bloch vector indicates that the oscillation of population probability reflects the physical converted process among the population transfer,dispersion and absorption in the two-level system.
To explore the physical mechanism induced by a frequency-modulated light field,the phenomenon of the oscillation of population probability in a two-level system under a frequency-modulated field is analyzed theoretically by means of the density matrix equation and Bloch vector model.The effect of the modulated amplitude on the process of the oscillation is also discussed.The results show that the oscillation of population probability and population transfer is modulated by the modulated amplitude.Increasing the modulated amplitude when the other parameters are fixed,the oscillation of population probability is weakened,and the efficiency of population transfer and the absorption are enhanced.The analysis in Bloch vector model shows that the population oscillation reflects the dynamic transformation process among the population transfer,absorption and polarization in the quantum system.
To explore the physical mechanism and the essence of the quantum diffraction in time-domain, the wave functiondiffraction in time-domain of a two-level system under the pulse field with a chirped frequency is investigated by means of thedensity matrix equation and the Bloch vector model. The modulations of the quantum diffraction by the chirped factors are discussed.The dynamic evolution process of the population transfer and the effect of the quantum diffraction with different chirped factors areanalyzed. The interaction mechanism and the physical process can found a clear description in the Bloch vector picture.
In the dressed state picture,the transition process and the time evolution dynamic process of a two-level system excited by the sinusoidal phase-modulated shaping pulse are investigated with the Bloch vector sphere schematic diagram.The results show that when a two-level system is interacted with the proper sinusoidal phase shaping pulse,the population is inversed and remained in same state and is irrelevant of the!shaping pulse.During the interaction between field and system,the adiabatic states of particles are variant with the different circumstances of light field phase under the adiabatic condition.
The dynamical evolution of the three-level atom under the influence of a bichromatic excitation is studied in the basis of the dark and bright states.With the help of these states, the analysis can be reduced to the consideration of a two-level system interacting with one effective field.Then, a simple Bloch-vector model is applied to describe the evolution of the initially complicated system.Special attention is paid to the low frequency coherence excitation, nonadiabatic population transfer, and population trapping.