Adiabatic Drag and Initial Slip for the Single-Mode Laser
We consider a single-mode laser for which the damping constants of the atomic polarization (γ┴) and the inversion(y||) exceed all other parameters of equal dimension (the atom-field coupling constant g and the damping constant K of the mode amplitude) in order of magnitude. In this limit the atomic variables tend to follow the motion of the field amplitude adiabatically. Moreover, while the density operator W(t) for the coupled atom-field system cannot be calculated in general, we determine, with the help of power series in the small parameters K/γ┴,|| and g/γ┴,||, (i) the equation of motion for the reduced densitÿ operator p(t) of the field mode, (ii) the effective initial value Peff(O) which differs from p(O) by initial slips, (iii) the adiabatic relation between p(t) and W(t), and (iv) the second order correlation function of the field amplitude for the strong-pumping regime.
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