The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

This is a review of recent developments in Monte Carlo methods in the field of ultracold
gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo …

Machine learning offers an unprecedented perspective for the problem of classifying phases
in condensed matter physics. We employ neural-network machine learning techniques to …

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 …

We employ several unsupervised machine learning techniques, including autoencoders,
random trees embedding, and t-distributed stochastic neighboring ensemble (t-SNE), to …

Density-functional theory (DFT) and model Hamiltonians are conceptually distinct
approaches to the many-particle problem, which can be developed and applied …

Trapped quantum gases can be cooled to impressively low temperatures,, but it is unclear
whether their entropy is low enough to realize phenomena such as d-wave …

We study finite-temperature properties of strongly correlated fermions in two-dimensional
optical lattices by means of numerical linked cluster expansions, a computational technique …

We characterize the Mott insulating regime of a repulsively interacting Fermi gas of ultracold
atoms in a three-dimensional optical lattice. We use in situ imaging to extract the central …

We investigate the Hubbard model on the anisotropic triangular lattice as a suggested
effective description of the Mott phase in various triangular organic compounds. Employing …