Site-resolved measurement of the spin-correlation function in the Fermi-Hubbard model

@article{Parsons2016SiteresolvedMO,
  title={Site-resolved measurement of the spin-correlation function in the Fermi-Hubbard model},
  author={Maxwell F. Parsons and Anton Mazurenko and Christie S. Chiu and Geoffrey Ji and Daniel Greif and Markus Greiner},
  journal={Science},
  year={2016},
  volume={353},
  pages={1253 - 1256}
}
Exotic phases of matter can emerge from strong correlations in quantum many-body systems. Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail. Here, we report site-resolved observations of antiferromagnetic correlations in a two-dimensional, Hubbard-regime optical lattice and demonstrate the ability to measure the spin-correlation function over any distance. We measure the in situ distributions of the particle density and magnetic correlations… 
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References

SHOWING 1-10 OF 37 REFERENCES
Spin- and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains
TLDR
This work reports on the direct, single-site resolved detection of antiferromagnetic correlations extending up to three sites in spin-1/2 Hubbard chains, which requires entropies per particle well below s* = ln(2).
Observation of spatial charge and spin correlations in the 2D Fermi-Hubbard model
TLDR
The site-resolved observation of charge and spin correlations in the two-dimensional (2D) Fermi-Hubbard model realized with ultracold atoms shows strong bunching of doublons and holes, in agreement with numerical calculations.
Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
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.
Far-from-equilibrium spin transport in Heisenberg quantum magnets.
TLDR
The far-from-equilibrium dynamics in ferromagnetic Heisenberg quantum magnets realized with ultracold atoms in an optical lattice is studied and a profound dependence of the decay rate on the wave vector is found.
Equation of State of the Two-Dimensional Hubbard Model.
TLDR
An experimental determination of the equation of state of the repulsive two-dimensional Hubbard model over a broad range of interactions 0≲U/t≲20 and temperatures, down to k_{B}T/t=0.63(2) is presented using high-resolution imaging of ultracold fermionic atoms in optical lattices.
Pseudogap and antiferromagnetic correlations in the hubbard model.
TLDR
The dynamical cluster approximation and quantum Monte Carlo simulations are used to calculate the single-particle spectra of the Hubbard model with next-nearest neighbor hopping and find that the pseudogap along the zone diagonal in the electron doped systems is due to long-range antiferromagnetic correlations.
Site-resolved imaging of a fermionic Mott insulator
TLDR
Site-resolved imaging of two-component fermionic Mott insulators, metals, and band insulator systems, using ultracold atoms in a square lattice is reported.
Probing the Superfluid–to–Mott Insulator Transition at the Single-Atom Level
TLDR
Single atom–single lattice site imaging is used to investigate the Bose-Hubbard model on a microscopic level and enables space- and time-resolved characterization of the number statistics across the superfluid–Mott insulator quantum phase transition.
Short-Range Quantum Magnetism of Ultracold Fermions in an Optical Lattice
TLDR
The observation of nearest-neighbor magnetic correlations emerging in the many-body state of a thermalized Fermi gas in an optical lattice facilitates addressing open problems in quantum magnetism through the use of quantum simulation.
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.
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1
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...