arXiv:2012.11544 · Physical Review A

Interorbital interactions in an SU(2)⊗SU(6) -symmetric Fermi-Fermi mixture

B. Abeln, Koen Sponselee, M. Diem, Nejira Pintul, K. Sengstock, C. Becker

Published Mar 18, 2021• 17 citations

Abstract

We characterize interisotope interorbital interactions between atoms in the $^{1}S_{0}$ ground state and the $^{3}P_{0}$ metastable state in interacting Fermi-Fermi mixtures of $^{171}\mathrm{Yb}$ and $^{173}\mathrm{Yb}$. We perform high-precision clock spectroscopy to measure interaction-induced energy shifts in a deep three-dimensional optical lattice and determine the corresponding scattering lengths. We find the elastic interaction of the interisotope mixtures $^{173}\mathrm{Yb}_{\mathrm{e}}\text{\ensuremath{-}}^{171}\mathrm{Yb}_{\mathrm{g}}$ and $^{173}\mathrm{Yb}_{\mathrm{g}}\text{\ensuremath{-}}^{171}\mathrm{Yb}_{\mathrm{e}}$ to be weakly attractive and very similar, while the corresponding two-body decay coefficients differ by more than two orders of magnitude. By comparing different spin mixtures we experimentally demonstrate the $\mathrm{SU}(2)\ensuremath{\bigotimes}\mathrm{SU}(6)$ symmetry of the elastic interactions. Furthermore, we measure the interorbital spin-exchange interaction in $^{171}\mathrm{Yb}$ and confirm its previously observed antiferromagnetic nature.

DOI: 10.1103/physreva.103.033315

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arXiv:2012.11544 · Physical Review A

Interorbital interactions in an SU(2)⊗SU(6) -symmetric Fermi-Fermi mixture

B. Abeln, Koen Sponselee, M. Diem, Nejira Pintul, K. Sengstock, C. Becker

Published Mar 18, 2021• 17 citations

arXiv HTML PDF

Abstract

We characterize interisotope interorbital interactions between atoms in the

^{1}S_{0}

ground state and the

^{3}P_{0}

metastable state in interacting Fermi-Fermi mixtures of

^{171}\mathrm{Yb}

and

^{173}\mathrm{Yb}

. We perform high-precision clock spectroscopy to measure interaction-induced energy shifts in a deep three-dimensional optical lattice and determine the corresponding scattering lengths. We find the elastic interaction of the interisotope mixtures

^{173}\mathrm{Yb}_{\mathrm{e}}\text{\ensuremath{-}}^{171}\mathrm{Yb}_{\mathrm{g}}

and

^{173}\mathrm{Yb}_{\mathrm{g}}\text{\ensuremath{-}}^{171}\mathrm{Yb}_{\mathrm{e}}

to be weakly attractive and very similar, while the corresponding two-body decay coefficients differ by more than two orders of magnitude. By comparing different spin mixtures we experimentally demonstrate the

\mathrm{SU}(2)\ensuremath{\bigotimes}\mathrm{SU}(6)

symmetry of the elastic interactions. Furthermore, we measure the interorbital spin-exchange interaction in

^{171}\mathrm{Yb}

and confirm its previously observed antiferromagnetic nature.

DOI: 10.1103/physreva.103.033315

Related papers

Antiferromagnetic interorbital spin-exchange interaction of Yb171

Koki Ono, Jun Kobayashi, Yoshiki Amano +2 more

We report on the investigation of the scattering properties between the ground state $^{1}S_{0}$ and the metastable state $^{3}P_{0}$ of the fermionic isotope of $^{171}\mathrm{Yb}$ . We measure the $s$ -wave scattering lengths in the two-orbital collision channels as ${a}_{eg}^{+}=225(13){a}_{0}$ and ${a}_{eg}^{\ensuremath{-}}=355(6){a}_{0}$, using clock transition spectroscopy in a three-dimensional optical lattice. The results show that the interorbital spin-exchange interaction is antiferromagnetic, indicating that $^{171}\mathrm{Yb}$ is a promising isotope for the quantum simulation of the Kondo effect with the two-orbital system.We report on the investigation of the scattering properties between the ground state $^{1}S_{0}$ and the metastable state $^{3}P_{0}$ of the fermionic isotope of $^{171}\mathrm{Yb}$. We measure the $s$-wave scattering lengths in the two-orbital collision channels as ${a}_{eg}^{+}=225(13){a}_{0}$ and ${a}_{eg}^{\ensuremath{-}}=355(6){a}_{0}$, using clock transition spectroscopy in a three-dimensional optical lattice. The results show that the interorbital spin-exchange interaction is antiferromagnetic, indicating that $^{171}\mathrm{Yb}$ is a promising isotope for the quantum simulation of the Kondo effect with the two-orbital system.

arXiv:1810.00536Physical Review AMar 13, 201938 citations

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arXiv:1509.04257Physical Review LettersDec 21, 2015173 citations

Metal and insulator states of SU(6) × SU(2) clusters of fermions in one-dimensional optical lattices

M. C. Gordillo

Abstract We studied the behavior of mixtures of 173Yb (with symmetry up to SU(6)) and 171Yb (up to SU(2)) fermionic isotopes loaded in one-dimensional (1D) optical lattices. To do so, we solved the Schrödinger equation describing different systems using a diffusion Monte Carlo technique. We considered continuous Hamiltonians in which the interactions between atoms of different species (isotopes and/or spins) were modeled by contact potentials with parameters derived from their experimental scattering lengths. This implies that we can find both attractive and repulsive interactions between fermion pairs in the same cluster. The strength of those interactions can be changed by varying the transverse confinement, leading to different cluster behaviors. Only balanced clusters, i.e. with the same number of 173Yb and 171Yb atoms were considered. We found that the standard state for these clusters is a metallic-like one with different populations of 173Yb–171Yb molecule-like pairs in each optical lattice potential well. However, for big enough clusters, insulator-like states are also possible.Abstract We studied the behavior of mixtures of 173Yb (with symmetry up to SU(6)) and 171Yb (up to SU(2)) fermionic isotopes loaded in one-dimensional (1D) optical lattices. To do so, we solved the Schrödinger equation describing different systems using a diffusion Monte Carlo technique. We considered continuous Hamiltonians in which the interactions between atoms of different species (isotopes and/or spins) were modeled by contact potentials with parameters derived from their experimental scattering lengths. This implies that we can find both attractive and repulsive interactions between fermion pairs in the same cluster. The strength of those interactions can be changed by varying the transverse confinement, leading to different cluster behaviors. Only balanced clusters, i.e. with the same number of 173Yb and 171Yb atoms were considered. We found that the standard state for these clusters is a metallic-like one with different populations of 173Yb–171Yb molecule-like pairs in each optical lattice potential well. However, for big enough clusters, insulator-like states are also possible.

New Journal of PhysicsMay 20, 20213 citations

Observation of spin-exchange dynamics between itinerant and localized Yb171 atoms

Kiyotaka Ono, Yoshiki Amano, Toshiya Higomoto +2 more

We report on the observation of the spin-exchange dynamics of $^{171}\mathrm{Yb}$ atoms in the ground state ${}^{1}{S}_{0}$ and in the metastable state ${}^{3}{P}_{0}$ . We implement the mixed-dimensional two-orbital system using near-resonant and magic-wavelength optical lattices, where the ${}^{1}{S}_{0}$ and ${}^{3}{P}_{0}$ atoms are itinerant in a one-dimensional tube and localized in three dimensions, respectively. By exploiting an optical Stern-Gerlach method, we observe the spin depolarization of the ${}^{1}{S}_{0}$ atoms induced by the spin-exchange interaction with the ${}^{3}{P}_{0}$ atom. Our work could pave the way to the quantum simulation of the Kondo effect.We report on the observation of the spin-exchange dynamics of $^{171}\mathrm{Yb}$ atoms in the ground state ${}^{1}{S}_{0}$ and in the metastable state ${}^{3}{P}_{0}$. We implement the mixed-dimensional two-orbital system using near-resonant and magic-wavelength optical lattices, where the ${}^{1}{S}_{0}$ and ${}^{3}{P}_{0}$ atoms are itinerant in a one-dimensional tube and localized in three dimensions, respectively. By exploiting an optical Stern-Gerlach method, we observe the spin depolarization of the ${}^{1}{S}_{0}$ atoms induced by the spin-exchange interaction with the ${}^{3}{P}_{0}$ atom. Our work could pave the way to the quantum simulation of the Kondo effect.

arXiv:2012.08708Physical Review AApr 28, 202116 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.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:1708.00215Physical Review ASep 18, 201711 citations

We characterize interisotope interorbital interactions between atoms in the

^{1}S_{0}

ground state and the

^{3}P_{0}

metastable state in interacting Fermi-Fermi mixtures of

^{171}\mathrm{Yb}

and

^{173}\mathrm{Yb}

^{173}\mathrm{Yb}_{\mathrm{e}}\text{\ensuremath{-}}^{171}\mathrm{Yb}_{\mathrm{g}}

and

^{173}\mathrm{Yb}_{\mathrm{g}}\text{\ensuremath{-}}^{171}\mathrm{Yb}_{\mathrm{e}}

\mathrm{SU}(2)\ensuremath{\bigotimes}\mathrm{SU}(6)

symmetry of the elastic interactions. Furthermore, we measure the interorbital spin-exchange interaction in

^{171}\mathrm{Yb}

and confirm its previously observed antiferromagnetic nature.

We report on the investigation of the scattering properties between the ground state

^{1}S_{0}

and the metastable state

^{3}P_{0}

of the fermionic isotope of

^{171}\mathrm{Yb}

. We measure the

s

-wave scattering lengths in the two-orbital collision channels as

{a}_{eg}^{+}=225(13){a}_{0}

and ${a}_{eg}^{\ensuremath{-}}=355(6){a}_{0}$, using clock transition spectroscopy in a three-dimensional optical lattice. The results show that the interorbital spin-exchange interaction is antiferromagnetic, indicating that

^{171}\mathrm{Yb}

is a promising isotope for the quantum simulation of the Kondo effect with the two-orbital system.

^{171}\mathrm{Yb}

with the nuclear spin

I=1/2

and

^{173}\mathrm{Yb}

with

I=5/2

below the Fermi temperature

{T}_{F}

0.46{T}_{F}

for

^{171}\mathrm{Yb}

and

0.54{T}_{F}

for

^{173}\mathrm{Yb}

. The same scattering lengths for different spin components make this mixture featured with the novel $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(6)$ symmetry. The nuclear spin components are separately imaged by exploiting an optical Stern-Gerlach effect. In addition, the mixture is loaded into a 3D optical lattice to implement the $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(6)$ Hubbard model. This mixture will open the door to the study of novel quantum phases such as a spinor Bardeen-Cooper-Schrieffer-like fermionic superfluid.

We report on the observation of the spin-exchange dynamics of

^{171}\mathrm{Yb}

atoms in the ground state

{}^{1}{S}_{0}

and in the metastable state

{}^{3}{P}_{0}

. We implement the mixed-dimensional two-orbital system using near-resonant and magic-wavelength optical lattices, where the

{}^{1}{S}_{0}

and

{}^{3}{P}_{0}

atoms are itinerant in a one-dimensional tube and localized in three dimensions, respectively. By exploiting an optical Stern-Gerlach method, we observe the spin depolarization of the

{}^{1}{S}_{0}

atoms induced by the spin-exchange interaction with the

{}^{3}{P}_{0}

atom. Our work could pave the way to the quantum simulation of the Kondo effect.

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.