Anisotropy in the Interaction of Ultracold Dysprosium

Abstract

The nature of the interaction between ultracold atoms with a large orbital and spin angular momentum has attracted considerable attention. It was suggested that such interactions can lead to the realization of exotic states of highly correlated matter. Here, we report on a theoretical study of the competing anisotropic dispersion, magnetic dipole-dipole, and electric quadrupole-quadrupole forces between two dysprosium atoms. Each dysprosium atom has an orbital angular momentum L=6 and magnetic moment $\mu =10{\mu }_B$. We show that the dispersion coefficients of the ground state adiabatic potentials lie between 1865 a.u. and 1890 a.u., creating a non-negligible anisotropy with a spread of 25 a.u. and that the electric quadrupole-quadrupole interaction is weak compared to the other interactions. We also find that for interatomic separations $R<50a_0$ both the anisotropic dispersion and magnetic dipole-dipole potential are larger than the atomic Zeeman splittings for external magnetic fields of order 10 G to 100 G. At these separations spin exchange can occur. We finish by describing two scattering models for inelastic spin exchange. A universal scattering theory is used to model loss due to the anisotropy in the dispersion and a distorted-wave-Born theory is used to model losses from the magnetic dipole-dipole interaction for the ${}^{164}$Dy isotope. These models find loss rates that are the same order of magnitude as the experimental value.

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Cited by in corpus (29)

• Bose-Einstein Condensation of Erbium
• Quantum degenerate dipolar Fermi gas
• Dipolar physics: A review of experiments with magnetic quantum gases
• Observation of low-field Fano-Feshbach resonances in ultracold gases of dysprosium
• Narrow-line magneto-optical trap for erbium
• Ultracold Dipolar Molecules Composed of Strongly Magnetic Atoms
• s-wave scattering lengths of the strongly dipolar bosons ${}^{162}$Dy and ${}^{164}$Dy
• Broad universal Feshbach resonances in the chaotic spectrum of Dysprosium atoms
• Anisotropy induced Feshbach resonances in a quantum dipolar gas of magnetic atoms
• Feshbach Resonances in an Erbium-Dysprosium Dipolar Mixture
• Controlling interactions between highly-magnetic atoms with Feshbach resonances
• Resonant Control of Interaction Between Different Electronic States
• Anisotropic optical trapping of ultracold erbium atoms
• Spectral statistics of molecular resonances in erbium isotopes: How chaotic are they?
• Inner-shell magnetic dipole transition in Tm atom as a candidate for optical lattice clocks
• Searching for Non-Abelian Phases in the Bose-Einstein Condensate of Dysprosium
• Optical trapping of ultracold dysprosium atoms: transition probabilities, dynamic dipole polarizabilities and van der Waals $C_6$ coefficients
• Dysprosium dipolar Bose-Einstein condensate with broad Feshbach resonances
• Fermionic suppression of dipolar relaxation: Observation of universal inelastic dipolar scattering
• Spin Dependent Collision of Ultracold Metastable Atoms
• Anisotropic collisions of dipolar Bose-Einstein condensates in the universal regime
• Relativistic aspects of orbital and magnetic anisotropies in the chemical bonding and structure of lanthanide molecules
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Quantum chaos in Feshbach resonances of the ErYb system
• Fractal Universality in Near-Threshold Magnetic Lanthanide Dimers
• Four-body long-range interactions between ultracold weakly-bound diatomic molecules
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume
• Magnetic Moments of Lanthanide van der Waals Dimers
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