Fermi-Hubbard Physics with Atoms in an Optical Lattice

By Tilman Esslinger. 2010

488 citations recorded by the source corpus.

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 poses a barrier to answering important questions concerning d-wave superconductivity and quantum magnetism. Recently, it has become possible to experimentally realize the Fermi-Hubbard model using a fermionic quantum gas loaded into an optical lattice. In this atomic approach to the Fermi-Hubbard model, the Hamiltonian is a direct result of the optical lattice potential created by interfering laser fields and short-ranged ultracold collisions. It provides a route to simulate the physics of the Hamiltonian and to address open questions and novel challenges of the underlying many-body system. This review gives an overview of the current efforts in understanding and realizing experiments with fermionic atoms in optical lattices and discusses key experiments in the metallic, band-insulating, superfluid, and Mott-insu...

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/c90e8954cc4a273f8a9d5345138df10aec169d0c

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Citations in the corpus

Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice (2011, methodology): “[4] Esslinger, T.”
Quantum trajectories and open many-body quantum systems (2014, background): “A particularly important model that can also be realised in this way is the (fermionic) Hubbard model [77, 78],”
Superfluidity in nuclear systems and neutron stars (2018, background): “mental studies of quantum many-body systems along such lines has concentrated mainly on properties of Hubbard models [114] and the Mott transition [115, 116].”
Engineered Open Systems and Quantum Simulations with Atoms and Ions (2012, background): “…impressive progress in this direction (Hofstetter et al., 2002; Köhl et al., 2005; Chin et al., 2006; Jördens et al., 2008; Schneider et al., 2008; Jördens et al., 2010; Esslinger, 2010), where quantum degeneracy is reached on the lattice, new cooling strategies are needed to achieve this goal.”
Direct Probing of the Mott Crossover in the SU(N) Fermi-Hubbard Model (2015, unknown): “The development of experimental implementations of the three-dimensional (3D) FHM with ultracold atoms has provided a new approach for advancing our understanding of strongly correlated fermions in lattices [14].”
Quantum simulation of the Hubbard model with ultracold fermions in optical lattices (2018, unknown): “ic, although non-technical, introduction to the physics of the Fermi-Hubbard model and its simulation with ultracold atoms. It complements other reviews that appeared recently, see for instance Refs. [51,52]. It is our aim that the review is accessible and useful to both the condensed-matter (CM) an”
Cooling in strongly correlated optical lattices: prospects and challenges (2010, background): “For a recent review of studying these FH phases using optical lattices, see [72].”