Quantum phases of quadrupolar Fermi gases in optical lattices

Abstract

We introduce a new platform for quantum simulation of many-body systems based on nonspherical atoms or molecules with zero dipole moment but possessing a significant value of electric quadrupole moment. We consider a quadrupolar Fermi gas trapped in a 2D square optical lattice, and show that the peculiar symmetry and broad tunability of the quadrupole-quadrupole interaction results in a rich phase diagram encompassing unconventional BCS and charge density wave phases, and opens up a perspective to create topological superfluid. Quadrupolar species, such as metastable alkaline-earth atoms and homonuclear molecules, are stable against chemical reactions and collapse and are readily available in experiment at high densities.

4 pages + supplemental material; a typo corrected

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• A High Phase-Space-Density Gas of Polar Molecules
• Bose-Einstein condensation of chromium
• Bose-Einstein Condensation of Erbium
• Quantum degenerate dipolar Fermi gas
• Stabilizing a purely dipolar quantum gas against collapse
• Degenerate Fermi Gases of Ytterbium
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• Observation of Heteronuclear Feshbach Molecules from a ${}^{85}$Rb - ${}^{87}$Rb gas
• Nanoplasmonic Lattices for Ultracold atoms
• Bose-Einstein Condensation of an Ytterbium Isotope
• Rovibrational cooling of molecules by optical pumping
• Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model
• Constraint on the quadrupole moment of super-massive black hole candidates from the estimate of the mean radiative efficiency of AGN
• Non-adiabatic preparation of spin crystals with ultracold polar molecules
• Shaping interactions between polar molecules with far-off-resonant light

Cited by in corpus (30)

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• Lattice solitons with quadrupolar intersite interactions
• Dissipative Preparation of Spatial Order in Rydberg-Dressed Bose-Einstein Condensates
• Ultralong-range order in the Fermi-Hubbard model with long-range interactions
• Quantum phase transition of a two-dimensional quadrupolar system
• Density functional theory for strongly-correlated bosonic and fermionic ultracold dipolar and ionic gases
• Detecting quadrupole interactions in ultracold Fermi gases
• 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
• Floquet engineering from long-range to short-range interactions
• Quadrupolar Excitons in MoSe${}_2$ Bilayers
• General classification of qubit encodings in ultracold diatomic molecules
• 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 ${}^{87}\text{Sr}$
• Two-dimensional quantum droplets in binary quadrupolar condensates
• Controllable quantum spin glasses with magnetic impurities embedded in quantum solids
• Chemical reactions of ultracold alkaline-earth-metal diatomic molecules
• Quantum phases of quadrupolar Fermi gases in coupled one-dimensional systems
• Competing many-body instabilities in two-dimensional dipolar Fermi gases
• On cold gases with anisotropic interactions
• Excited electronic states of Sr${}_2$: ab initio predictions and experimental observation of the $2^1{\Sigma }_u^{+}$ state
• Quench dynamics of disordered quadrupolar Bose-Einstein condensates
• Laser induced $\mathcal{P}\mathcal{T}$-symmetry breaking in the fluctuations of electronic fluids
• Manipulating scattering of ultracold atoms with light-induced dissipation
• Pairing from repulsion in a two-dimensional Fermi gas with soft-core interactions
• d_{xy}-Density wave in fermion-fermion cold atom mixtures
• Low-energy scatterings and pseudopotential of polarized quadrupoles