Thouless pumping represents a powerful concept to probe quantized topological invariants
in quantum systems. We explore this mechanism in a generalized Rice-Mele Fermi-Hubbard …

We investigate the topological properties of the bond order wave phase arising in the
extended Fermi-Hubbard model. In particular, we uncover a topological sector, which …

Spontaneously symmetry-broken (SSB) phases are locally ordered states of matter
characterizing a large variety of physical systems. Because of their specific ordering, their …

We numerically study the phase diagram of bosons tightly trapped in the lowest band of an
optical lattice and dispersively coupled to a single-mode cavity field. The dynamics is …

We show how bond order emerges due to light mediated synthetic interactions in ultracold
atoms in optical lattices in an optical cavity. This is a consequence of the competition …

The experimental realization of time-dependent ultracold lattice systems has paved the way
towards the implementation of new Hubbard-like Hamiltonians. We show that in a one …

Abstract The Extended Fermi-Hubbard model is a rather studied Hamiltonian due to both its
many applications and a rich phase diagram. Here we prove that all the phase transitions …

We apply the bosonization technique to derive the phase diagram of a balanced unit density
two-component dipolar Fermi gas in a one dimensional lattice geometry. The considered …

This PhD thesis is devoted to explore non-local orders in low-dimensional Hubbard-like
systems. This kind of systems plays a crucial role in condensed matter physics. They were …

The last decades have witnessed impressive technical advances in all the fields of quantum
science, including solid-state systems or atomic, molecular, and optical physics, allowing …