Resonance magnetic field shift induced by electric field for the transition relativistic approach

Z. Li, Roman V. Krems

We present a detailed analysis of Feshbach resonances in ultracold collisions of Li and Cs atoms in the presence of superimposed electric and magnetic fields. We show that electric fields induce resonances through couplings between the $s$- and $p$-wave scattering channels and modify the scattering length to a great extent. Electric-field-induced resonances lead to the anisotropy of ultracold scattering and provide the diagnostics for magnetic $p$-wave resonances in ultracold gases. We show that the electric field couplings may shift the positions of $s$-wave magnetic resonances, thereby making the electric field control of ultracold atoms possible even far away from $p$-wave resonances. Finally, we demonstrate that electric fields may rotate and spin up the collision complex of ultracold atoms at substantial rates.

I. M. Ternov, Vladimir A Bordovitsyn

Kunquan Lu

Z. Li, Roman V. Krems

We present a detailed analysis of Feshbach resonances in ultracold collisions of Li and Cs atoms in the presence of superimposed electric and magnetic fields. We show that electric fields induce resonances through couplings between the $s$- and $p$-wave scattering channels and modify the scattering length to a great extent. Electric-field-induced resonances lead to the anisotropy of ultracold scattering and provide the diagnostics for magnetic $p$-wave resonances in ultracold gases. We show that the electric field couplings may shift the positions of $s$-wave magnetic resonances, thereby making the electric field control of ultracold atoms possible even far away from $p$-wave resonances. Finally, we demonstrate that electric fields may rotate and spin up the collision complex of ultracold atoms at substantial rates.

Dong Cheng, Ya Li, Eryin Feng +1 more

We present a detailed analysis of near zero-energy Feshbach resonances in ultracold collisions of atom and molecule, taking the He–PH system as an example, subject to superimposed electric and magnetic static fields. We find that the electric field can induce Feshbach resonance which cannot occur when only a magnetic field is applied, through couplings of the adjacent rotational states of different parities. We show that the electric field can shift the position of the magnetic Feshbach resonance, and change the amplitude of resonance significantly. Finally, we demonstrate that, for narrow magnetic Feshbach resonance as in most cases of ultracold atom–molecule collision, the electric field may be used to modulate the resonance, because the width of resonance in electric field scale is relatively larger than that in magnetic field scale.

Joseph Sucher