Influence of the spatial rotation of a polarization plane on the radiative friction force in light fields with polarization gradients

Simple atomic models ($1/2\to 1/2$ and $1/2\to 3/2$ transitions) were taken as an example to consider, in the sub-Doppler cooling approximation, influence of the spatial rotation of a polarization plane on the radiative friction force at arbitrary field configurations of dimensionality $D<1$. Spatial gradients of the angles determining this rotation additionally contribute to the friction force. This contribution is comparable in magnitude with other forces if the detuning $\delta$ is on the order of the radiative relaxation constant $\gamma$. For the $j\to j+1$ transitions, the contribution promotes sub-Doppler cooling at $\delta<0$, whereas for the $j\to j$ transitions (half-integer $j$) it induces anisotropic heating and cooling processes.