1. Semiclassical description of electron transport through the Boltzmann transport equation. Different types of scattering and collision terms. Methods of integration: Monte Carlo and Galerkin methods.
2. Reduction to drift-diffusion equations for small mean free path. Maximum entropy closures.
3. Quantum transport via Wigner equations and nonequilibrium Green functions.
4. Low dimensional solids. Semiconductor superlattices: Electronic structure, minibands and subbands. Bloch oscillations and Gunn type oscillations. True random sequence generator for communications and secure commerce. Quantum cascade laser. Wide miniband superlattices, kinetic theory and drift/-diffusion equations. Fast oscillator device. Sequential quantum tunneling in weakly coupled superlattices and spatially discrete drift-diffusion equations. Charge dipole waves and excitability. Regular and chaotic oscillations and generation of true random numbers.
5. Low dimensional solids. Semiconductor quantum dots: Electronic structure, KP effective models. The Loss and Divicenzo Quantum Computer based in Quantum Dots. Qubits based in charge and spin. Quantum Electron spin qubits in single and double QDs. Initialization, detection and read out. Quantum transport: Coulomb Blockade, Spin Blockade. Spin qubits manipulation for quantum operations. Electron dipole spin resonance. Exchange interaction ¿ swapping for 2 qubit operations. Decoherence and relaxation. Electron spin qubits in triple quantum dots. Hole spin qubits.
6. Low dimensional solids. Arrays of quantum dots: long range transfer. Dark states and quantum superpositions in artificial molecules. Adiabatic protocols for quantum information transfer. Shortcuts to adiabaticity. Spin qubit long range transfer. Photoassisted transport. Floquet theory. Light-matter interaction. Quantum cavities coupled to qubits.
