Over the past two decades quantum engineering has made significant advances in our
ability to create genuine quantum many-body systems using ultracold atoms. In particular …

We give a pedagogical introduction to the generalized hydrodynamic approach to
inhomogeneous quenches in integrable many-body quantum systems. We review recent …

We revisit the out-of-equilibrium physics arising during the unitary evolution of a one-
dimensional XXZ spin chain initially prepared in a domain wall state| ψ 0⟩=|⋯↑↑↓↓⋯⟩ …

The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-
dimensional quantum systems, stimulating the experimental efforts in building a versatile …

Hydrodynamics is a powerful emergent theory for the large-scale behaviours in many-body
systems, quantum or classical. It is a gradient series expansion, where different orders of …

We study nonhomogeneous quantum quenches in a one-dimensional gas of repulsive spin-
1/2 fermions, as described by the integrable Yang-Gaudin model. By means of generalized …

Quantum impurity models (QIMs) are ubiquitous throughout physics. As simplified toy
models they provide crucial insights for understanding more complicated strongly correlated …

We study the quench dynamics of the one-dimensional Hubbard model through the quench
action formalism. We introduce a class of integrable initial states—expressed as product …

We consider the real-time evolution of the Hubbard model in the limit of infinite coupling. In
this limit the Hamiltonian of the system is mapped into a number-conserving quadratic form …

One-dimensional Mott insulators can be described using the sine-Gordon model, an
integrable quantum field theory that provides the low-energy effective description of several …