# 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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## 106 Citations

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## References

SHOWING 1-10 OF 37 REFERENCES

Spin- and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains

- Physics, MedicineScience
- 2016

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

- Physics, MedicineScience
- 2016

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

- Physics, MedicineNature
- 2015

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.

- Physics, MedicinePhysical review letters
- 2014

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.

- Physics, MedicinePhysical review letters
- 2016

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.

- Physics, MedicinePhysical review letters
- 2006

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

- Physics, MedicineScience
- 2016

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

- Physics, MedicineScience
- 2010

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

- Physics, MedicineScience
- 2013

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.

- Physics, MedicinePhysical review letters
- 2010

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.