Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1307.7262 · Physical Review A

Magnetically tunable Feshbach resonances in Li + Yb( 3PJ )

Maykel Leonardo González-Martínez, Jeremy M. Hutson

Published Aug 23, 2013• 22 citations
arXivHTMLPDF

Abstract

We have investigated magnetically tunable Feshbach resonances arising from the interaction of Li(${}^{2}S$) with metastable Yb(${}^{3}{P}_{2}$) and (${}^{3}{P}_{0}$). For Yb(${}^{3}{P}_{2}$), all the resonance features are strongly suppressed by inelastic collisions that produce Yb in its lower-lying ${}^{3}{P}_{1}$ and ${}^{3}{P}_{0}$ states. For Yb(${}^{3}{P}_{0}$), sharp resonances exist but they are extremely narrow (widths less than 1 mG).

DOI
10.1103/physreva.88.020701

Related papers

Feshbach resonances and molecule formation in ultracold mixtures of Rb and Yb(P3) atoms

Bijit Mukherjee, Matthew D. Frye, Jeremy M. Hutson

We have investigated magnetically tunable Feshbach resonances in ultracold collisions of Rb with Yb in its metastable ${}^{3}{P}_{2}$ and ${}^{3}{P}_{0}$ states, using coupled-channel scattering and bound-state calculations. For the ${}^{3}{P}_{2}$ state, we find sharp resonances when both atoms are in their lowest Zeeman sublevels. However, these resonances are decayed by inelastic processes that produce Yb atoms in ${}^{3}{P}_{1}$ and ${}^{3}{P}_{0}$ states. The molecules that might be produced by magnetoassociation at the ${}^{3}{P}_{2}$ thresholds can decay by similar pathways and would have lifetimes no more than a few microseconds. For the ${}^{3}{P}_{0}$ state, by contrast, there are resonances that are promising for magnetoassociation. There are resonances due to both rotating and nonrotating molecular states that are significantly stronger than the analogous resonances for $\mathrm{Yb}{(}^{1}S$). The ones due to rotating states are denser in magnetic field; in contrast to $\mathrm{Yb}{(}^{1}S$), they exist even for bosonic isotopes of $\mathrm{Yb}{(}^{3}{P}_{0}$).

arXiv:2110.15906•Physical Review A•Feb 7, 2022•6 citations

Magnetic Feshbach resonances between atoms in S2 and P03 states: Mechanisms and dependence on atomic properties

Bijit Mukherjee, Matthew D. Frye, Jeremy M. Hutson

Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in $^{2}\mathrm{S}$ and ${}^{3}{\mathrm{P}}_{0}$ states, such as an alkali-metal atom colliding with Yb or Sr in a clock state. We investigate the mechanisms of these resonances and identify the terms in the collision Hamiltonian responsible for them. They involve indirect coupling between the open and closed channels, via intermediate channels involving atoms in ${}^{3}{\mathrm{P}}_{1}$ states. The resonance widths are generally proportional to the square of the magnetic field and are strongly enhanced when the magnitude of the background scattering length is large. For any given pair of atoms, the scattering length can be tuned discretely by choosing different isotopes of the ${}^{3}{\mathrm{P}}_{0}$ atom. For each combination of an alkali-metal atom and either Yb or Sr, we consider the prospects of finding an isotopic combination that has both a large background scattering length and resonances at a high but experimentally accessible field. We conclude that $^{87}\mathrm{Rb}+\mathrm{Yb}$, $\mathrm{Cs}+\mathrm{Yb}$, and $^{85}\mathrm{Rb}+\mathrm{Sr}$ are particularly promising combinations.

arXiv:2211.07557•Physical Review Research•Feb 13, 2023•2 citations

Magnetically Tunable Feshbach Resonances in Ultracold Li-Yb Mixtures

Daniel A. Brue, Jeremy M. Hutson

We investigate the possibility of forming Li+Yb ultracold molecules by magnetoassociation in mixtures of ultracold atoms. We find that magnetically tunable Feshbach resonances exist, but are extremely narrow for even-mass ytterbium isotopes, which all have zero spin. For odd-mass Yb isotopes, however, there is a new mechanism due to hyperfine coupling between the electron spin and the Yb nuclear magnetic moment. This mechanism produces Feshbach resonances for fermionic Yb isotopes that can be more than 2 orders of magnitude larger than for the bosonic counterparts.

arXiv:1108.1827•Physical Review Letters•Jan 25, 2012•80 citations

Spectroscopic determination of magnetic-field-dependent interactions in an ultracold Yb( 3P2 )-Li mixture

F. Schäfer, Hideki Konishi, Adrien Bouscal +2 more

We present experimental results on the inelastic and elastic interspecies interactions between ytterbium (Yb) in the metastable ${}^{3}P{}_{2}$ state loaded into a deep optical lattice and spin polarized lithium (Li) in its ground state. Focusing on the ${m}_{J}=0$ magnetic sublevel of $\mathrm{Yb}({}^{3}P{}_{2}$), bias magnetic fields between 20 and $800\phantom{\rule{0.28em}{0ex}}\mathrm{G}$ are investigated and significantly enhanced inelastic collision rates with high magnetic fields are found. In addition, by direct spectroscopy of the Yb Mott insulator immersed in the Li Fermi gas an upper boundary of the background scattering length of the $\mathrm{Yb}({}^{3}P{}_{2},{m}_{J}=0)\ensuremath{-}\mathrm{Li}{(}^{2}{S}_{1/2},F=1/2,{m}_{F}=+1/2$) system is estimated, revealing the absence of useful Feshbach resonances. These observations are qualitatively consistent with the theoretical calculations.

arXiv:1708.00215•Physical Review A•Sep 18, 2017•11 citations

Magnetic control of ultra-cold6Li and174Yb(3P2) atom mixtures with Feshbach resonances

Alexander Petrov, Constantinos Makrides, Svetlana Kotochigova

We theoretically evaluate the feasibility to form magnetically-tunable Feshbach molecules in collisions between fermionic 6 Li atoms and bosonic metastable 174 Yb( 3 P 2 ) atoms. In contrast to the well-studied alkali-metal atom collisions, collisions with meta-stable atoms are highly anisotropic. Our first-principle coupled-channel calculation of these collisions reveals the existence of broad Feshbach resonances due to the combined effect of anisotropic-molecular and atomic–hyperfine interactions. In order to fit our predictions to the specific positions of experimentally-observed broad resonance structures (Dowd et al 2014) we optimized the shape of the short-range potentials by direct least-square fitting. This allowed us to identify the dominant resonance by its leading angular momentum quantum numbers and describe the role of collisional anisotropy in the creation and broadening of this and other resonances.

arXiv:1502.04973•New Journal of Physics•Apr 17, 2015•11 citations

Anisotropy induced Feshbach resonances in mixture of ${}^{6}{\rm{Li}}{(}^{2}{\rm{S}})\;+\;{}^{171}{\rm{Yb}}{(}^{3}{{\rm{P}}}_{2})$

Tao Chen, Cui Zhang, Xiaolin Li +2 more

We theoretically explore the scattering properties in collisions between in the ground state and fermionic in the metastable state. Unlike the role of the electronic spin degree of freedom in collisions of two alkali-metal atoms, the orbital degrees of freedom from the p electron of the metastable atoms, which induce not only mixings between different partial waves but also couplings between channels in different fine-structure manifolds, introduce the anisotropic interactions for producing broad-enough Feshbach resonances. Our closed-coupling calculation shows that this mechanism is similar to that in highly magnetic atoms, but the resonances also suffer from a large inelastic rate at the magnitude of to lower-lying fine-structure states or Zeeman sublevels, which will be an obstacle for associating ultracold polar molecules with both electron spin and electric dipole momentum. However, such a rich mixture of inelastic processes, and the experimental advantage of immunity from intraspecies inelastic collisions for metastable fermionic allow for precise investigations on the interspecies scattering properties for systems with excited-state atoms included.

New Journal of Physics•Oct 16, 2015•4 citations
We have investigated magnetically tunable Feshbach resonances arising from the interaction of Li(2S{}^{2}S2S) with metastable Yb(3P2{}^{3}{P}_{2}3P2​) and (3P0{}^{3}{P}_{0}3P0​). For Yb(3P2{}^{3}{P}_{2}3P2​), all the resonance features are strongly suppressed by inelastic collisions that produce Yb in its lower-lying 3P1{}^{3}{P}_{1}3P1​ and 3P0{}^{3}{P}_{0}3P0​ states. For Yb(3P0{}^{3}{P}_{0}3P0​), sharp resonances exist but they are extremely narrow (widths less than 1 mG).
We have investigated magnetically tunable Feshbach resonances in ultracold collisions of Rb with Yb in its metastable 3P2{}^{3}{P}_{2}3P2​ and 3P0{}^{3}{P}_{0}3P0​ states, using coupled-channel scattering and bound-state calculations. For the 3P2{}^{3}{P}_{2}3P2​ state, we find sharp resonances when both atoms are in their lowest Zeeman sublevels. However, these resonances are decayed by inelastic processes that produce Yb atoms in 3P1{}^{3}{P}_{1}3P1​ and 3P0{}^{3}{P}_{0}3P0​ states. The molecules that might be produced by magnetoassociation at the 3P2{}^{3}{P}_{2}3P2​ thresholds can decay by similar pathways and would have lifetimes no more than a few microseconds. For the 3P0{}^{3}{P}_{0}3P0​ state, by contrast, there are resonances that are promising for magnetoassociation. There are resonances due to both rotating and nonrotating molecular states that are significantly stronger than the analogous resonances for Yb(1S\mathrm{Yb}{(}^{1}SYb(1S). The ones due to rotating states are denser in magnetic field; in contrast to Yb(1S\mathrm{Yb}{(}^{1}SYb(1S), they exist even for bosonic isotopes of Yb(3P0\mathrm{Yb}{(}^{3}{P}_{0}Yb(3P0​).
Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in 2S^{2}\mathrm{S}2S and 3P0{}^{3}{\mathrm{P}}_{0}3P0​ states, such as an alkali-metal atom colliding with Yb or Sr in a clock state. We investigate the mechanisms of these resonances and identify the terms in the collision Hamiltonian responsible for them. They involve indirect coupling between the open and closed channels, via intermediate channels involving atoms in 3P1{}^{3}{\mathrm{P}}_{1}3P1​ states. The resonance widths are generally proportional to the square of the magnetic field and are strongly enhanced when the magnitude of the background scattering length is large. For any given pair of atoms, the scattering length can be tuned discretely by choosing different isotopes of the 3P0{}^{3}{\mathrm{P}}_{0}3P0​ atom. For each combination of an alkali-metal atom and either Yb or Sr, we consider the prospects of finding an isotopic combination that has both a large background scattering length and resonances at a high but experimentally accessible field. We conclude that 87Rb+Yb^{87}\mathrm{Rb}+\mathrm{Yb}87Rb+Yb, Cs+Yb\mathrm{Cs}+\mathrm{Yb}Cs+Yb, and 85Rb+Sr^{85}\mathrm{Rb}+\mathrm{Sr}85Rb+Sr are particularly promising combinations.
We investigate the possibility of forming Li+Yb ultracold molecules by magnetoassociation in mixtures of ultracold atoms. We find that magnetically tunable Feshbach resonances exist, but are extremely narrow for even-mass ytterbium isotopes, which all have zero spin. For odd-mass Yb isotopes, however, there is a new mechanism due to hyperfine coupling between the electron spin and the Yb nuclear magnetic moment. This mechanism produces Feshbach resonances for fermionic Yb isotopes that can be more than 2 orders of magnitude larger than for the bosonic counterparts.
We present experimental results on the inelastic and elastic interspecies interactions between ytterbium (Yb) in the metastable 3P2{}^{3}P{}_{2}3P2​ state loaded into a deep optical lattice and spin polarized lithium (Li) in its ground state. Focusing on the mJ=0{m}_{J}=0mJ​=0 magnetic sublevel of Yb(3P2\mathrm{Yb}({}^{3}P{}_{2}Yb(3P2​), bias magnetic fields between 20 and 800G800\phantom{\rule{0.28em}{0ex}}\mathrm{G}800G are investigated and significantly enhanced inelastic collision rates with high magnetic fields are found. In addition, by direct spectroscopy of the Yb Mott insulator immersed in the Li Fermi gas an upper boundary of the background scattering length of the $\mathrm{Yb}({}^{3}P{}_{2},{m}_{J}=0)\ensuremath{-}\mathrm{Li}{(}^{2}{S}_{1/2},F=1/2,{m}_{F}=+1/2$) system is estimated, revealing the absence of useful Feshbach resonances. These observations are qualitatively consistent with the theoretical calculations.
We theoretically evaluate the feasibility to form magnetically-tunable Feshbach molecules in collisions between fermionic 6 Li atoms and bosonic metastable 174 Yb( 3 P 2 ) atoms. In contrast to the well-studied alkali-metal atom collisions, collisions with meta-stable atoms are highly anisotropic. Our first-principle coupled-channel calculation of these collisions reveals the existence of broad Feshbach resonances due to the combined effect of anisotropic-molecular and atomic–hyperfine interactions. In order to fit our predictions to the specific positions of experimentally-observed broad resonance structures (Dowd et al 2014) we optimized the shape of the short-range potentials by direct least-square fitting. This allowed us to identify the dominant resonance by its leading angular momentum quantum numbers and describe the role of collisional anisotropy in the creation and broadening of this and other resonances.
Anisotropy induced Feshbach resonances in mixture of 6Li(2S)  +  171Yb(3P2){}^{6}{\rm{Li}}{(}^{2}{\rm{S}})\;+\;{}^{171}{\rm{Yb}}{(}^{3}{{\rm{P}}}_{2})6Li(2S)+171Yb(3P2​)
We theoretically explore the scattering properties in collisions between in the ground state and fermionic in the metastable state. Unlike the role of the electronic spin degree of freedom in collisions of two alkali-metal atoms, the orbital degrees of freedom from the p electron of the metastable atoms, which induce not only mixings between different partial waves but also couplings between channels in different fine-structure manifolds, introduce the anisotropic interactions for producing broad-enough Feshbach resonances. Our closed-coupling calculation shows that this mechanism is similar to that in highly magnetic atoms, but the resonances also suffer from a large inelastic rate at the magnitude of to lower-lying fine-structure states or Zeeman sublevels, which will be an obstacle for associating ultracold polar molecules with both electron spin and electric dipole momentum. However, such a rich mixture of inelastic processes, and the experimental advantage of immunity from intraspecies inelastic collisions for metastable fermionic allow for precise investigations on the interspecies scattering properties for systems with excited-state atoms included.