Quantum Hall edge channels at integer filling factor provide a unique test bench to
understand the decoherence and relaxation of single-electron excitations in a ballistic …

A number of results on quantum quenches in the Luttinger and related models are surveyed
with emphasis on post-quench correlations. For the Luttinger model and initial gaussian …

We consider an electronic analog of the Hong-Ou-Mandel (HOM) interferometer, where two
single electrons travel along opposite chiral edge states and collide at a quantum point …

We report an observation, via sensitive shot noise measurements, of charge fractionalization
of chiral edge electrons in the integer quantum Hall effect regime. Such fractionalization …

We study electron transport through a multichannel fractional quantum Hall edge in the
presence of both interchannel interaction and random tunneling between channels, with …

We study trace formulas for the exponentials of general fermion bilinears, including pairing
terms and including non-Hermitian forms. In particular, we give elementary derivations for …

We investigate the time evolution towards the asymptotic steady state of a one-dimensional
interacting system after a quantum quench. We show that at finite times the latter induces …

Topological quantum states have been proposed and investigated on two-dimensional flat
surfaces or lattices with different geometries like the plane, cylinder, and torus. Here, we …

Charge and energy fractionalization are among the most intriguing features of interacting
one-dimensional fermion systems. In this work we determine how these phenomena are …

We depict a family of one-dimensional systems where one can create and detect fractional
charges. These charges are produced via interacting one-dimensional conductors …