Detecting quadrupole interactions in ultracold Fermi gases

Abstract

We propose to detect quadrupole interactions of neutral ultra-cold atoms via their induced mean-field shift. We consider a Mott insulator state of spin-polarized atoms in a two-dimensional optical square lattice. The quadrupole moments of the atoms are aligned by an external magnetic field. As the alignment angle is varied, the mean-field shift shows a characteristic angular dependence, which constitutes the defining signature of the quadrupole interaction. For the ${}^3{P}_2$ states of Yb and Sr atoms, we find a frequency shift of the order of tens of Hertz, which can be realistically detected in experiment with current technology. We compare our results to the mean-field shift of a spin-polarized quasi-2D Fermi gas in continuum.

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Cited by in corpus (13)

• Quantum simulation of non-trivial topology
• Reservoir spectroscopy of 5s5p ${}^3$P${}_2$ - 5s$n$d ${}^3$D${}_{1,2,3}$ transitions in strontium
• Ultralong-range order in the Fermi-Hubbard model with long-range interactions
• Quantum phase transition of a two-dimensional quadrupolar system
• Coherent excitation of a $\mu$Hz scale optical magnetic quadrupole transition
• A 3-photon process for producing a degenerate gas of metastable alkaline-earth atoms
• Exotic roton excitations in quadrupolar Bose-Einstein condensates
• Quadrupolar Excitons in MoSe${}_2$ Bilayers
• Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
• The frequency of the ultranarrow ${}^1{\text{S}}_0-{}^3{\text{P}}_2$ transition in ${}^{87}\text{Sr}$
• Quench dynamics of disordered quadrupolar Bose-Einstein condensates
• Quantum Gases of Dipoles, Quadrupoles and Octupoles in Gross-Pitaevskii Formalism with Form Factor
• Low-energy scatterings and pseudopotential of polarized quadrupoles