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 protocols so far have been too high to show the appearance of antiferromagnetic (AF) and superconducting quantum phases directly. In this work, we demonstrate that using the machinery of dissipative quantum state engineering, one can observe the emergence of the AF order in the Fermi-Hubbard model with fermions in optical lattices. The core of the approach is to add incoherent laser scattering in such a way that the AF state emerges as the dark state of the driven-dissipative dynamics. The proposed controlled dissipation channels described in this work are straightforward to add to already existing experimental setups.
New Journal of Physics
We acknowledge stimulating discussions with Ken Brown, Tommaso Calarco, Andrew Daley, Suzanne McEndoo, Tobias Osborne, Cindy Regal, Luis Santos, Micha ł Tomza, and Martin Zwierlein. The work was supported by the People Programme (Marie Curie Actions) of the European Union's Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no. , by the Volkswagen Foundation, and by DFG within SFB 1227 (DQ-mat).
Kaczmarczyk J, Weimer H, Lemeshko M. Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model. New Journal of Physics. 2016;18(9). doi:10.1088/1367-2630/18/9/093042
Kaczmarczyk, J., Weimer, H., & Lemeshko, M. (2016). Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model. New Journal of Physics, 18(9). https://doi.org/10.1088/1367-2630/18/9/093042
Kaczmarczyk, Jan, Hendrik Weimer, and Mikhail Lemeshko. “Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model.” New Journal of Physics 18, no. 9 (2016). https://doi.org/10.1088/1367-2630/18/9/093042.
J. Kaczmarczyk, H. Weimer, and M. Lemeshko, “Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model,” New Journal of Physics, vol. 18, no. 9, 2016.
Kaczmarczyk J, Weimer H, Lemeshko M. 2016. Dissipative preparation of antiferromagnetic order in the Fermi-Hubbard model. New Journal of Physics. 18(9).
Kaczmarczyk, Jan, et al. “Dissipative Preparation of Antiferromagnetic Order in the Fermi-Hubbard Model.” New Journal of Physics, vol. 18, no. 9, 093042, IOP Publishing Ltd., 2016, doi:10.1088/1367-2630/18/9/093042.