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Physical Review A

Feshbach-optimized photoassociation controlled by electric and magnetic fields

Xue‐Jin Hu, Ting Xie, Yin Hui Huang, Shu‐Lin Cong

Published May 19, 2014• 13 citations
Publisher

Abstract

We study theoretically the Feshbach-optimized photoassociation of the $^{7}\mathrm{Li}$ and $^{133}\mathrm{Cs}$ 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 $s$ wave and $p$ 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.

DOI
10.1103/physreva.89.052712

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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.

•Jan 1, 2012•0 citations
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≤100E\ensuremath{\le}100E\ensuremath≤100 kV/cm) is required to realize the scattering resonance for heteronuclear alkali-metal atom pairs.
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 study the effects of a static electric field on the photoassociation of a heteronuclear atom pair into a polar molecule. The interaction of permanent dipole moment with a static electric field largely affects the ground state continuum wavefunction of the atom pair at short separations where photoassociation transitions occur according to the Franck–Condon principle. Electric field-induced anisotropic interaction between two heteronuclear ground state atoms leads to scattering resonances at some specific electric fields. Near such resonances the amplitude of the scattering wavefunction at short separation increases by several orders of magnitude. As a result, the photoassociation rate is enhanced by several orders of magnitude near the resonances. We discuss in detail electric field-modified atom–atom scattering properties and resonances. We calculate the photoassociation rate that shows giant enhancement due to electric field tunable anisotropic resonances. We present selected results among which particularly important are the excitations of higher rotational levels in ultracold photoassociation due to electric field tunable resonances.
Two-color photoassociation of ground state 6{}^{6}6Li87{}^{87}87Rb molecules via the $B\phantom{\rule{0.16em}{0ex}}{}^{1}\ensuremath{\Pi}$ electronic state using short pulses near a magnetic Feshbach resonance is studied theoretically. A near-resonant magnetic field is applied to mix the hyperfine singlet and triplet components of the initial wave function and enhance the photoassociation rate, before the population is transferred to the ground state by a second pulse. We show that an increase of up to three orders of magnitude in the absolute number of molecules produced is attainable for deeply bound vibrational levels. This technique can be generalized to other molecules with accessible magnetic Feshbach resonances.
Abstract We investigate theoretically the formation of ultracold 39K87Rb molecules on the lowest vibrational level of singlet ground electronic X 1Σ+ state via the Feshbach-optimized photoassociation. The probability density of colliding atomic pair at the short-range interatomic separation is significantly enhanced near Feshbach resonances. Due to the limitation of transition selection rule, the direct transition between singlet and triplet electronic states is forbidden. The electronic spin–orbit couplings between excited electronic states are used to transfer the population from the triplet electronic state to the singlet electronic state. By using the magnetic field and four laser pulses, the colliding 39K and 87Rb atoms near a magnetically induced Feshbach resonance are converted into the 39K87Rb molecule. The final population on the lowest vibrational level of the X 1Σ+ state reaches 0.02126.
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.