Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms

@article{Hart2015ObservationOA,
  title={Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms},
  author={Russell A. Hart and Pedro M. Duarte and Tsung-Lin Yang and Xinxing Liu and Thereza Paiva and Ehsan Khatami and Richard T. Scalettar and Nandini Trivedi and David A. Huse and Randall G. Hulet},
  journal={Nature},
  year={2015},
  volume={519},
  pages={211-214}
}
Ultracold atoms in optical lattices have great potential to contribute to a better understanding of some of the most important issues in many-body physics, such as high-temperature superconductivity. The Hubbard model—a simplified representation of fermions moving on a periodic lattice—is thought to describe the essential details of copper oxide superconductivity. This model describes many of the features shared by the copper oxides, including an interaction-driven Mott insulating state and an… 
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References

SHOWING 1-10 OF 75 REFERENCES
A Mott insulator of fermionic atoms in an optical lattice
TLDR
The formation of a Mott insulator of a repulsively interacting two-component Fermi gas in an optical lattice is reported, identified by three features: a drastic suppression of doubly occupied lattice sites, a strong reduction of the compressibility inferred from the response of double occupancy to an increase in atom number, and the appearance of a gapped mode in the excitation spectrum.
Quantum simulation of antiferromagnetic spin chains in an optical lattice
TLDR
By demonstrating a route to quantum magnetism in an optical lattice, this work should facilitate further investigations of magnetic models using ultracold atoms, thereby improving the understanding of real magnetic materials.
Cooling in strongly correlated optical lattices: prospects and challenges
Optical lattices have emerged as ideal simulators for Hubbard models of strongly correlated materials, such as the high-temperature superconducting cuprates. In optical lattice experiments,
Fermions in 2D optical lattices: temperature and entropy scales for observing antiferromagnetism and superfluidity.
TLDR
It is found that an entropy per particle approximately = ln2 is sufficient to observe the insulating gap in the repulsive Hubbard model at half-filling, or the pairing pseudogap in the attractive case, and double-occupancy measurements are useful for thermometry for temperatures greater than the nearest-neighbor hopping energy.
Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
TLDR
This work was able to directly measure the compressibility of the quantum gas in the trap using in situ imaging and independent control of external confinement and lattice depth, to demonstrate the potential to model interacting condensed-matter systems using ultracold fermionic atoms.
Fermions in 3D optical lattices: cooling protocol to obtain antiferromagnetism.
TLDR
It is shown that increasing repulsion leads to cooling but only in a trap, due to the redistribution of entropy from the center to the metallic wings, even when the average entropy per particle is larger than that required for antiferromagnetism in the homogeneous system.
Thermodynamics and magnetic properties of the anisotropic 3D Hubbard model.
TLDR
The anisotropic 3D Hubbard model with increased nearest-neighbor tunneling amplitudes along one direction using the dynamical cluster approximation is studied and the distribution of density, entropy, and spin correlation in the trapped system is determined and the dependence of the critical entropy at the Néel transition on anisotropy is investigated.
Accessing the Néel phase of ultracold fermionic atoms in a simple-cubic optical lattice
For a simple-cubic optical lattice with lattice spacing d, occupied by two species of fermionic atoms of mass m that interact repulsively, we ask what conditions maximize the Neel temperature in the
Thermometry of fermionic atoms in an optical lattice
Low temperatures are necessary for the observation of strongly correlated quantum phases of fermionic atoms in optical lattices. We analyze how the temperature of a Fermi gas is altered when the
Thermometry of Fermionic Atoms in an Optical Lattice
Low temperatures are necessary for the observation of strongly correlated quantum phases of fermionic atoms in optical lattices. We analyze how the temperature of a Fermi gas is altered when the
...
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