Non-reciprocal transport in superconductors has applications for superconducting electronics. In this work, we propose a tunable Josephson diode using electrostatic gates. We set bounds to the maximal diode efficiency and show a way to systematically increase the effect. [Full article]

Coulomb blockade fixes the charge in superconductors, except at the charge degeneracy point. It is essential for initializing and reading out the system's quantum state. In this article, we study the transport signatures of bound states in Coulomb-blockaded superconductors coupled to several metallic electrodes. We fcus the single and the double nanowire geometry, that can show the topological Kondo effect. [Full article]

The demonstration of non-abelian statistics of topological quasiparticles is one of the most heavily pursued objectives in physics nowadays. Fusion rules, emerging after the coupling of two (or more) of these quasiparticles are intrinsic properties that depend on the non-abelian properties of the quasiparticles. In this work, we propose a new experiment to demonstrate Majorana non-abelian statistics in Majorana single charge transistors. Our proposal allows for long-time DC current measurements as direct evidence for non-abelian physics. [Full article]

In this article, we show the appearance of spin-polarized bound states in superconductors coupled to a ferromagnetic insulator. We also develop a new method to determine the spin-degeneracy of bound states using cotunneling spectroscopy. [Full article]

In this article, we develop a new way to show Majorana non-abelian properties by shuttling electrons between a quantum dot a two Majorana wires. We find the optimal way to perform our proposed protocol using fast adiabatic operations. Our protocol is minimal in terms of resources, opening the door for experiments aiming at showing non-abelian physics. [Full article]

Electron spins in magnetic impurities or quantum dots are fundamental elements for the development of quantum technologies. In this work, we analyze the time dynamics of a magnetic impurity when it is coupled to superconductors. We develop exact and approximated methods to show that many-body interactions are not sufficient to make the spin relax to the fully unpolarized situation. [Full article]