arXiv:2003.06738 · Physical Review Research

Magnetic field induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb2Ti2O7

Yasuyuki Kato, Shang-Shun Zhang, Yusuke Nishida, Cristian D. Batista

Published Jul 6, 2020• 4 citations

Abstract

This paper proposes a mechanism to realize a high degree of magnetic field-induced tunability of the scattering length for the collision between magnons in quantum magnets with strong spin-orbit coupling.

DOI: 10.1103/physrevresearch.2.033024

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arXiv:2003.06738 · Physical Review Research

Magnetic field induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb2Ti2O7

Yasuyuki Kato, Shang-Shun Zhang, Yusuke Nishida, Cristian D. Batista

Published Jul 6, 2020• 4 citations

arXiv HTML PDF

Abstract

DOI: 10.1103/physrevresearch.2.033024

Related papers

Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb2Ti2O7

Yusuke Nishida

Jul 1, 20200 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.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.

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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.

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).