The dynamics of quantum phase transitions pose one of the most challenging problems in
modern many-body physics. Here, we study a prototypical example in a clean and well …

We characterize the equation of state (EoS) of the SU (N> 2) Fermi-Hubbard Model (FHM) in
a two-dimensional single-layer square optical lattice. We probe the density and the site …

Motivated by recent experiments, we study the relaxation dynamics and thermalization in the
one-dimensional Bose-Hubbard model induced by a global interaction quench. Specifically …

Quantum criticality emerges when a many-body system is in the proximity of a continuous
phase transition that is driven by quantum fluctuations. In the quantum critical regime, exotic …

We investigate the long-term dynamics of spin textures prepared by cooling unmagnetized
spinor gases of F= 1 87 Rb to quantum degeneracy, observing domain coarsening and a …

The Bose‐Hubbard model is the simplest model of interacting bosons on a lattice. It has
recently been the focus of much attention due to the realization of this model with cold atoms …

In the previous works, we proposed atomic quantum simulations of the U (1) gauge-Higgs
model by ultracold Bose gases. By studying extended Bose-Hubbard models (EBHMs) …

In this paper, we study the dynamics of the Bose-Hubbard model by using time-dependent
Gutzwiller methods. In particular, we vary the parameters in the Hamiltonian as a function of …

Ultracold fermionic alkaline earth atoms confined in optical lattices realize Hubbard models
with internal SU (N) symmetries, where N can be as large as ten. Such systems are …

We study the Bose-Hubbard and Fermi-Hubbard models in the (formal) limit of large
coordination numbers Z≫ 1. Via an expansion into powers of 1/Z, we establish a hierarchy …