Quantum simulation of the Hubbard model with ultracold fermions in optical lattices

Publication date: Available online 8 November 2018Source: Comptes Rendus PhysiqueAuthor(s): Leticia Tarruell, Laurent Sanchez-PalenciaAbstractUltracold atomic gases provide a fantastic platform to implement quantum simulators and investigate a variety of models initially introduced in condensed matter physics or other areas. One of the most promising applications of quantum simulation is the study of strongly correlated Fermi gases, for which exact theoretical results are not always possible with state-of-the-art approaches. Here, we review recent progress of the quantum simulation of the emblematic Fermi–Hubbard model with ultracold atoms. After introducing the Fermi–Hubbard model in the context of condensed matter, its implementation in ultracold atom systems, and its phase diagram, we review landmark experimental achievements, from the early observation of the onset of quantum degeneracy and superfluidity to the demonstration of the Mott insulator regime and the emergence of long-range anti-ferromagnetic order. We conclude by discussing future challenges, including the possible observation of high-Tc superconductivity, transport properties, and the interplay of strong correlations and disorder or topology.RésuméLes gaz atomiques ultrafroids offrent une excellente plateforme pour réaliser des simulateurs quantiques et étudier une grande diversité de modèles introduits initialement en physique de la matière condensée ou d'autres domaines. L'une des applications l...

Source: Comptes Rendus Physique - November 9, 2018 Category: Physics Source Type: research