Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms

Abstract

Fermionic alkaline-earth atoms have unique properties that make them attractive candidates for the realization of novel atomic clocks and degenerate quantum gases. At the same time, they are attracting considerable theoretical attention in the context of quantum information processing. Here we demonstrate that when such atoms are loaded in optical lattices, they can be used as quantum simulators of unique many-body phenomena. In particular, we show that the decoupling of the nuclear spin from the electronic angular momentum can be used to implement many-body systems with an unprecedented degree of symmetry, characterized by the SU(N) group with N as large as 10. Moreover, the interplay of the nuclear spin with the electronic degree of freedom provided by a stable optically excited state allows for the study of spin-orbital physics. Such systems may provide valuable insights into strongly correlated physics of transition metal oxides, heavy fermion materials, and spin liquid phases.

15 pages, 10 figures. V2: extended experimental accessibility and Kondo sections in the main text (including new Fig. 5b) and in the Methods; reorganized other parts; added references

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• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Degenerate Fermi Gases of Ytterbium
• Ultracold fermions and the SU(N) Hubbard model
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• Quantum Monte Carlo simulations of the half-filled two-dimensional Kondo lattice model
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• Quantum logic via the exchange blockade in ultracold collisions
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• The impact of spatial correlation on the tunneling dynamics of few-boson mixtures in a combined triple well and harmonic trap
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• Superfluid, staggered state, and Mott insulator of repulsively interacting three-component fermionic atoms in optical lattices
• One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
• A gapped SU(3) spin liquid with Z_3 topological order
• A compact ultranarrow high-power laser system for experiments with 578nm Ytterbium clock transition
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• Exploring spin-orbital models with dipolar fermions in zig-zag optical lattices
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• Ferromagnetic spin-orbital liquid of dipolar fermions in zigzag lattices
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• Asymmetric Conductivity of the Kondo Effect in Cold Atomic Systems
• Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms
• Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions
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• Influence of topological constraints and topological excitations: Decomposition formulas for calculating homotopy groups of symmetry-broken phases
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• Nonrelativistic Banks-Casher relation and random matrix theory for multi-component fermionic superfluids
• Systematic large flavor fTWA approach to interaction quenches in the Hubbard model
• Sigma-model analysis of $SU(3)$ antiferromagnetic spins on the triangular lattice
• Lowest energy states of an $O(N)$ fermionic chain
• Competition between three-sublattice order and superfluidity in the quantum 3-state Potts model of ultracold bosons and fermions on a square optical lattice
• Kondo Effect in a Spin-3/2 Fermi Gas
• $\mu$-Symmetry breaking: an algebraic approach to finding mean fields of quantum many-body systems
• Sum rules for spin-$1/2$ quantum gases in states with well-defined spins: II. Spin-dependent two-body interactions
• Order by disorder in a four flavor Mott-insulator on the fcc lattice
• Persistent Current of SU(N) Fermions
• Non-Landau Quantum Phase Transitions and nearly-Marginal non-Fermi Liquid
• Critical phenomena around the SU(3) symmetric tri-critical point of a spin-1 chain
• Three-component Fermi gas with SU(3) symmetry: BCS-BEC crossover in three and two dimensions
• Spin-polarized localization in a magnetized chain
• Tug-the-hook symmetry for quantum 6j-symbols
• A fully controllable Kondo system: Coupling a flux qubit and an ultracold Fermi gas
• Laser Manipulation of Spin-Exchange Interaction Between Alkaline-Earth Atoms in ${}^1$S${}_0$ and ${}^3$P${}_2$ States
• Degenerate Rabi spectroscopy of the Floquet engineered optical lattice clock
• Interacting heavy fermions in a disordered optical lattice
• Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime
• Dilaton in a cold Fermi gas
• Entanglement spectra of non-chiral topological (2+1)-dimensional phases with strong time-reversal breaking, Li-Haldane state counting, and PEPS
• Phase diagram of the SU$(3)$ Fermi-Hubbard model with next-neighbor interactions
• Repulsively-bound exciton-biexciton states in high-spin fermions in optical lattices
• Heuristic machinery for thermodynamic studies of SU(N) fermions with neural networks
• The Sagnac Effect in Optical Lattices with Laser-Assisted Tunneling
• Waveguide QED toolboxes for universal quantum matter
• The dynamical structure factor of the SU(3) Heisenberg chain: The variational Monte Carlo approach
• Edge states and universality class of the critical two-box symmetric SU(3) chain
• Separation of quadrupole, spin, and charge across the magnetic phases of a one-dimensional interacting spin-1 gas