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

Reservoir spectroscopy of5s5p3P2–5snStellmer1, Schreck2 2014Phys. Rev. A317441View full textAdd to dashboardCite

“…The frequencies and strengths of the transitions originating from the metastable states are needed to calculate the black-body radiation (BBR) shifts of a clock transition, which is particularly important for strontium [57,58]. Atoms in the 3 P 2 state can be used to study systems with quadrupolar interactions [42,44]. Furthermore, magnetic Feshbach resonances have been observed between atoms in the 3 P 2 and 1 S 0 states [59].…”

“…Quantum degenerate samples of Yb [7][8][9][10][11] and the alkaline-earth-metals Ca [12,13] and Sr [14][15][16][17][18][19][20] have opened new possibilities, such as the study of SU(N ) magnetism [21][22][23][24][25][26][27][28][29][30][31][32][33][34], novel schemes to simulate gauge fields [35][36][37][38][39][40], the engineering of interactions beyond contact interactions [41][42][43][44], the creation of driven-dissipative many-body states [45], the simulation of an extra dimension [46], and new ways to perform quantum computation [47][48][49][50][51].…”

Interaction-driven Lifshitz transition with dipolar fermions in optical lattices

“…Furthermore, the phenomenon is expected to occur for other types of anisotropic interparticle interactions, such as quadrupole-quadrupole couplings 113,114 or interactions induced by far-off-resonant laser fields 115,116 . We use the dual boson formalism to strongly correlated systems 79,80 .…”

Density-Functional Theory for Strongly Correlated Bosonic and Fermionic Ultracold Dipolar and Ionic Gases

“…The presented method can be applied to systems with other external potentials, such as the interesting case of 1D optical lattices, as well as generalized to different interactions and higher dimensionalities. In this sense, one interesting possibility could be the recently discussed quadrupolar interactions, which may lead to intriguing new quantum phases (see [58][59][60]). These topics will be the subject of future works.…”