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Bulletin of the American Physical Society

Electric-Field-Induced Feshbach Resonances in Ultracold Alkali Metal Mixtures

Z. Li, Roman V. Krems

Published Jun 8, 2007• 0 citations
OpenAlex

Abstract

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.

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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 sss- and ppp-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 ppp-wave resonances in ultracold gases. We show that the electric field couplings may shift the positions of sss-wave magnetic resonances, thereby making the electric field control of ultracold atoms possible even far away from ppp-wave resonances. Finally, we demonstrate that electric fields may rotate and spin up the collision complex of ultracold atoms at substantial rates.
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 sss- and ppp-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 ppp-wave resonances in ultracold gases. We show that the electric field couplings may shift the positions of sss-wave magnetic resonances, thereby making the electric field control of ultracold atoms possible even far away from ppp-wave resonances. Finally, we demonstrate that electric fields may rotate and spin up the collision complex of ultracold atoms at substantial rates.
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.
This Thesis describes new mechanisms for controlling elastic and inelastic collisions of ultracold atoms and molecules with static electromagnetic and laser fields. The dynamical properties of ultracold atoms are usually tuned in experiments by applying an external magnetic field to induce a Feshbach resonance. The work presented in this Thesis demonstrates the possibility of inducing and manipulating Feshbach resonances with electric fields. We discuss in detail the mechanisms of electric-field-induced resonances in ultracold mixtures of alkali metal atoms and demonstrate that electric fields may shift and split the magnetic resonances. We show that electric fields may spin up the collision complex of ultracold atoms and induce anisotropic scattering which may be exploited in experiments on many-body dynamics of ultracold gaseous mixtures. The mechanisms of electric-field-induced resonances described in this Thesis allow for two-dimensional control of inter-particle interactions, leading to total control over ultracold gases. To guide future experiments, we generate accurate interaction potentials for ultracold Li--Rb mixtures by fitting positions and widths of experimentally measured Feshbach resonances. Ultracold atomic and molecular gases can be confined by laser fields in one or two dimensions which produces an optical lattice of ultracold particles. We develop a multichannel scattering theory for collisions of atoms and molecules in two dimensions and explore the effects of the confining laser potential on inelastic and reactive collisions of ultracold atoms and molecules in a 1D optical lattice. We show that ultracold collisions can be controlled in a quasi-2D geometry by varying the orientation of a magnetic field with respect to the confinement plane normal and demonstrate that the threshold energy dependence of cross sections for inelastic collisions in an optical lattice can be tuned by varying the confining potential and the magnetic field. Our results show that applying laser confinement in one dimension may stabilize ultracold systems with large scattering lengths, which may open up interesting opportunities for studies of ultracold controlled chemistry and might lead to a new research direction of ultracold chemistry in restricted geometries.
The effects of combined external electric and magnetic fields on elastic collisions in ultracold Li-Rb mixtures are studied using recently obtained experimentally verified potentials. Our analysis provides both quantitative predictions for and a detailed physical interpretation of the phenomena arising from electric-field-induced interactions. It is shown that the electric field shifts the positions of intrinsic magnetic Feshbach resonances, generates copies of resonances previously restricted to a particular partial-wave collision to other partial-wave channels, and splits Feshbach resonances into multiple resonances for states of nonzero angular momenta. It was recently observed that the magnetic dipole-dipole interaction can also lift the degeneracy of a ppp-wave state splitting of the associated ppp-wave Feshbach resonance into two distinct resonances at different magnetic fields. Our work shows that the splitting of the resonances produced by an applied electric field is more than 1 order of magnitude larger. This phenomenon offers a complementary way to produce and tune an anisotropic interaction and to study its effect on the many-body physics of heteronuclear atomic gases.
We study theoretically the Feshbach-optimized photoassociation of the 7Li^{7}\mathrm{Li}7Li and 133Cs^{133}\mathrm{Cs}133Cs atoms driven by electric and magnetic fields. The results show that the combination of electric and magnetic fields can significantly enhance the photoassociation rate by regulating scattering resonance and increasing the probability density of atom pairs at sufficiently short internuclear distance. The electric field can induce the coupling between the sss wave and ppp wave and makes it possible to directly produce ultracold molecules in the lowest rotational state via one-photon stimulated emission photoassociation at ultralow temperature. Moreover, in the presence of a magnetic field, only a relatively weak electric field ($E\ensuremath{\le}100$ kV/cm) is required to realize the scattering resonance for heteronuclear alkali-metal atom pairs.
We investigate the control of two-body inelastic spin-exchange loss in ultracold atoms by applying an electric field to modulate magnetic Feshbach resonances. While conventional magnetic tuning can enhance or suppress two-body spin-exchange losses, the incorporation of an electric field introduces an additional degree of freedom, enabling more flexible control over resonances for different partial waves. Taking the 6Li-40K{}^{6}{\text{Li-}}^{40}\text{K}6Li-40K collision as an example, we demonstrate how this approach can be employed to control sss- and ppp-wave inelastic loss processes and improve the suppression of the loss rate coefficient. This study may open a new possibility for the control of ultracold atomic inelastic collisions.