Recently, the fractional-order Bloch equations with and without delay were studied [12-14].
Magin, "Transient chaos in fractional Bloch equations," Computers and Mathematics with Applications, vol.
Magin, "Generalized fractional order bloch equation with extended delay," International Journal of Bifurcation and Chaos, vol.
Magin, "Fractional Bloch equation with delay," Computers and Mathematics with Applications, vol.
Similar to , the optical Bloch equations then have the form
The optical Bloch equations can be numerically solved.
In this paper, the optical Bloch equations describing the mechanism of cavity QED are investigated to obtain the transfer function of the Rabi oscillation with the spontaneous emission .
Now we start from the optical Bloch equation of the cavity QED.
For the coherence preservation in cavity QED, the model of the damping Rabi oscillation in the form of the transfer function is derived based on the optical Bloch equation. The transfer function of the damping Rabi oscillation is compensated using the root locus technique derived from the classical control theory to suppress the atom's spontaneous emission.
Other topics that are covered include semiconductor quantum dots, the semiconductor Bloch equations
, correlation and scattering effects, field quantization, nonequilibrium Green's function theory, and quantum optical effects in semiconductors.
Additionally, Bloch described the motion of the nuclei in the magnetic field with a set of differential equations referred to as the Bloch equations
Magin, "Transient chaos in fractional Bloch equations
," Computers & Mathematics with Applications, vol.