Thesis presented December 16, 2019

Abstract:
Quantum nanoelectronics is in a phase of great expansion, supported mainly by the development of quantum computing. A high degree of precision is required to achieve current objectives, but on the other hand, the experi- ences are also more complex than ever. Nuremical tools seem necessary to achieve the required understanding while dealing with such complexity. The time scales involved are getting shorter and are getting closer to the intrinsic quantum time scales of the device, such as time of flight. Our group’s pre- vious work has simulated time-dependent electron transport on a quantum scale. This thesis aims to improve the previous algorithms to obtain greater accuracy and a better description of the systems by including the electronic environment. This work is divided into three main areas. First, we improve of numerical time-dependent simulation tools to take into account an elec- tronic environment in a self-consistent way. The new algorithm can achieve arbitrary accuracy in a controlled way. Second, the new algorithm is used to demonstrate the existence of new physical phenomena. We study Josephson junctions in different environments to enhance the role of quasi-particles, the effect of a very short pulse, and to study topological junction characteriza- tion techniques. Finally, various developments are being studied to integrate the phenomenon of decoherence and quantum noise into the simulations.

Keywords:
Numerical simulation, nanoelectronic, quantum physic

On-line thesis.