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Physical Review A

Electric-field modulation of the magnetically induced 6 Li- 40 K Feshbach resonance

Ting Xie, Gao‐Ren Wang, Wei Zhang, Yin Hui Huang, Shu‐Lin Cong

Published Sep 22, 2011• 14 citations
Publisher

Abstract

The effect of an external electric field on the magnetically induced ${}^{6}$Li-${}^{40}$K Feshbach resonance is investigated theoretically by using the asymptotic bound state model (ABM). An electric field can modify the position and width of the Feshbach resonance to varying extent. However, it hardly changes the background scattering length in the case without open-channel resonance. The width of the $s$-wave resonance resulting from the $p$-wave bound state becomes narrow under the action of a strong electric field. The effects of electric field on orbital angular momentum and electronic state of the Feshbach molecule are also discussed.

DOI
10.1103/physreva.84.032712

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The effect of an external electric field on the magnetically induced 6{}^{6}6Li-40{}^{40}40K Feshbach resonance is investigated theoretically by using the asymptotic bound state model (ABM). An electric field can modify the position and width of the Feshbach resonance to varying extent. However, it hardly changes the background scattering length in the case without open-channel resonance. The width of the sss-wave resonance resulting from the ppp-wave bound state becomes narrow under the action of a strong electric field. The effects of electric field on orbital angular momentum and electronic state of the Feshbach molecule are also discussed.
The effects of an electric field on the magnetically induced 6{}^{6}6Li-40{}^{40}40K Feshbach resonances are investigated theoretically by using the asymptotic bound-state model. We calculate the positions and widths of the Feshbach resonances observed in the experiments in the presence of an electric field and give a detailed analysis. An electric field can change the relative magnetic moment and the coupling strength to a different extent. The variation of resonant width caused by a strong electric field mainly depends on the coupling strength, and the sss-wave scattering cross section in an electric field is sensitive to the temperature of the colliding system and the magnetic-field intensity. The maximum of the thermal average scattering rate constant can be changed by several factors by applying an electric field.
can be tuned using an external magnetic field. When the energy of the quasi-bound state is magnetically tuned into degeneracy with the energy of the free atomic pair, a resonant scattering process occurs in which the s-wave scattering length diverges and both elastic and inelastic collision cross sections are dramatically enhanced. When the collision involves two distinct atoms, the underlying molecular states can possess an electric dipole moment. In this case, the application of an external electric field can couple the bound molecular states mixing their orbital character and leading to level repulsion which breaks the degeneracy for dierent orbital angular momentum projections. The result is 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. This latter phenomenon oers a way to produce and tune an anisotropic interaction in atomic mixtures and to produce p-wave molecules of particular orbital angular momenta projections (1). In this talk, we discuss recent theoretical work and experimental progress on the realization and study of these phenomena associated with electric field dressing of magnetically tunable Feshbach resonances.
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.
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 investigate the modulating action of an external electric field on the magnetically tuned Feshbach resonance in ultracold heteronuclear atomic collision by using the multichannel quantum-defect theory (MQDT). The coupling between different partial wave states induced by an electric field is included into the singlet and triplet quantum defect matrices y(0) and y(1). By taking the truncated −C6/R6 − C8/R8 − C10/R10 potential as the reference potential, the threshold behaviors of four quantum-defect parameters for the lowest three partial waves are described. The results calculated by using the MQDT agree with those calculated using the coupled channel method. Moreover, we present an analytical expression used for describing the variation of the position and width of the magnetically tuned Feshbach resonance modulated by an electric field.
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.