Conventional hydrodynamics describes systems with few long-lived excitations. In one
dimension, however, many experimentally relevant systems feature a large number of long …

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 …

The sine-Gordon model is a paradigmatic quantum field theory that provides the low-energy
effective description of many gapped one-dimensional systems. Despite this fact, its …

We set up a hydrodynamic description of the non-equilibrium dynamics of sine-Gordon
quantum field theory for generic coupling. It is built upon an explicit form of the Bethe Ansatz …

The ability for real-time control of topological defects can open up prospects for dynamical
manipulation of macroscopic properties of solids. A subcategory of these defects, formed by …

We consider one-dimensional interacting quantum fluids, such as the Lieb-Liniger gas. By
computing the low-temperature limit of its (generalized) hydrodynamics we show how in this …

We study spin transport in a one-dimensional finite-length wire connected to fermionic leads.
The interacting wire is described by the sine-Gordon model while the leads are either …

We conduct a comprehensive study of anomalous charge transport in the quantum sine--
Gordon model. Employing the framework of Generalized Hydrodynamics, we compute …

We study the formation and the subsequent dynamics of shock waves in repulsive one-
dimensional Bose gases during the free expansion of a density hump. By building coherent …

This Thesis is devoted to the presentation of recent results of the theory arising from the
combination of Generalised Hydrodynamics and Large deviation theory. This theory is …