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Interactions in a spin-polarized ultracold Fermi gas are governed by $p$-wavecollisions and can be characterized by the $p$-wave scattering volume. Controlof these collisions by Feshbach resonances is hampered by huge inelasticlosses. Here, we suggest non-resonant light control of $p$-wave collisions,exploiting the anisotropic coupling of non-resonant light to the polarizabilityof the atoms. The $p$-wave scattering volume can be controlled by strongnon-resonant light, in close analogy to the $s$-wave scattering length. Forcollision partners that are tightly trapped, the non-resonant light induces anenergy shift directly related to the generalized scattering volume. This effectcould be used to climb the ladder of the trap. We also show that controllingthe generalized scattering volume implies control, at least roughly, over theorientation of the interparticle axis relative to the polarization direction ofthe light at short interatomic distances. Our proposal is based on anasymptotic model that explicitly accounts for the anisotropic dipole-dipoleinteraction which governs the ultracold collision dynamics at long-range.

Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume