In this paper, an introduction to the new subject of nonlinear dispersive Hamiltonian
equations on graphs is given. The focus is on recently established properties of solutions in …

We define the Schrödinger equation with focusing, cubic nonlinearity on one-vertex graphs.
We prove global well-posedness in the energy domain and conservation laws for some self …

In order to become worldly things, that is, deeds and facts and events and patterns of
thoughts or ideas,[action, speech, and thought] must first be seen, heard, and remembered …

We introduce a systematic framework to calculate the bipartite entanglement entropy of a
spatial subsystem in a one-dimensional quantum gas which can be mapped into a …

We derive exact relations between the Rényi entanglement entropies and the particle-
number fluctuations of (connected and disjoint) spatial regions in systems of N non …

We study the melting of a domain wall in a free-fermionic chain with a localised impurity. We
find that the defect enhances quantum correlations in such a way that even the smallest …

We consider the ground state of two species of one-dimensional critical free theories
coupled together via a conformal interface. They have an internal U (1) global symmetry and …

A bstract We study the massless Dirac field on the line in the presence of a point-like defect
characterised by a unitary scattering matrix, that allows both reflection and transmission …

We study the thermal transport through a Majorana island connected to multiple external
quantum wires. In the presence of a large charging energy, we find that the Wiedemann …

A bstract We investigate the ground state of a (1+ 1)-dimensional conformal field theory
(CFT) built with M species of massless free Dirac fermions coupled at one boundary point …