Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model

@article{Kaczmarczyk2016DissipativePO,
  title={Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model},
  author={Jan Kaczmarczyk and Hendrik Weimer and Mikhail Lemeshko},
  journal={arXiv: Quantum Gases},
  year={2016}
}
The Fermi-Hubbard model is one of the key models of condensed matter physics, which holds a potential for explaining the mystery of high-temperature superconductivity. Recent progress in ultracold atoms in optical lattices has paved the way to studying the model's phase diagram using the tools of quantum simulation, which emerged as a promising alternative to the numerical calculations plagued by the infamous sign problem. However, the temperatures achieved using elaborate laser cooling… 

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References

SHOWING 1-10 OF 173 REFERENCES
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.
Fermi-Hubbard Physics with Atoms in an Optical Lattice
The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems
Evidence for superfluidity of ultracold fermions in an optical lattice
TLDR
The observation of distinct interference peaks when a condensate of fermionic atom pairs is released from an optical lattice, implying long-range order (a property of a superfluid), means that s-wave pairing and coherence of fermanion pairs have now been established in a lattice potential, in which the transport of atoms occurs by quantum mechanical tunnelling and not by simple propagation.
Squeezing out the entropy of fermions in optical lattices
  • T. Ho, Qi Zhou
  • Physics
    Proceedings of the National Academy of Sciences
  • 2009
TLDR
A method to literally squeeze the entropy out from a Fermi gas into a surrounding Bose–Einstein condensed gas, which acts as a heat reservoir, and allows one to reduce the entropy per particle of a lattice Fermani gas to a few percent of the lowest value obtainable today.
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.
Quantum measurement-induced antiferromagnetic order and density modulations in ultracold Fermi gases in optical lattices
TLDR
It is shown that quantum backaction of weak measurement can be used for tailoring long-range correlations of ultracold fermions, realizing quantum states with spatial modulations of the density and magnetization, thus overcoming usual requirement for a strong interatomic interactions.
Experimental realization of the topological Haldane model with ultracold fermions
TLDR
The experimental realization of the Haldane model and the characterization of its topological band structure are reported, using ultracold fermionic atoms in a periodically modulated optical honeycomb lattice and a direct extension to realize spin-dependent topological Hamiltonians is proposed.
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.
Non-standard Hubbard models in optical lattices: a review.
TLDR
The main part of the review discusses the importance of additional terms appearing when refining the tight-binding approximation for the original physical Hamiltonian, and the effects related to higher Bloch bands also become important even for deep optical lattices.
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