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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• A gapped SU(3) spin liquid with Z_3 topological order
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• Intertwining SU($N$) symmetry and frustration on a honeycomb lattice
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• Spin Mixing in Spinor Fermi Gases
• Exploring spin-orbital models with dipolar fermions in zig-zag optical lattices
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• Large-Amplitude Superexchange of High-Spin Fermions in Optical Lattices
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• Dilaton in a cold Fermi gas
• Laser Manipulation of Spin-Exchange Interaction Between Alkaline-Earth Atoms in ${}^1$S${}_0$ and ${}^3$P${}_2$ States
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• Spin-polarized localization in a magnetized chain
• A fully controllable Kondo system: Coupling a flux qubit and an ultracold Fermi gas
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• Waveguide QED toolboxes for universal quantum matter
• The dynamical structure factor of the SU(3) Heisenberg chain: The variational Monte Carlo approach
• The Sagnac Effect in Optical Lattices with Laser-Assisted Tunneling
• Heuristic machinery for thermodynamic studies of SU(N) fermions with neural networks
• Separation of quadrupole, spin, and charge across the magnetic phases of a one-dimensional interacting spin-1 gas