QUANTUM TRANSPORT

FIS/03 - 6 CFU - 1° Semester

Teaching Staff

GIUSEPPE FALCI


Learning Objectives

The course introduces fundamental concepts principles and techniques enabling the study of quantum dynamica of electrons and photons in coherent physical systems/architectures. These systems are currently investigated for applications to quantum information/communication and coherent control, in quantum thermodynamics, and in other research fields under the interdisciplinary umbrella encompassing research from "Quantum technologies" to conceptual foundations of the theory.

 

 

Main goals are:



Detailed Course Content

  1. Representation of quantum systems (12+2 h)
    Quantum bits, composite systems; physiscal systems (photons, nuclear spin, confined atoms, artificial atoms based on semiconductors/superconductors, cavities); algebra in Hilbert spaces and applications to quantum networks; examples; classical and quantum computation (seminar)
  2. Bipartite and multipartite syestems (6+2 h)
    Density matrix; quantum measurement and von Neumann model; applications (superdense coding, no-cloning theorem, cryptography, quantum teleportation) Entanglement; EPR paradox and Bell inequality (seminar).
  3. Quantum dynamics (12+2 h)
    Time evolution operator; pulsed dynamics; heisenberg and von Neumann equation and their phenomenological generalization to relaxation and dephasing; quantum systems in oscillatory fields; time-dependent unitary transformations (rotating frame, adiabatic frame, geometric phases)
  4. Coherent nanosystems (4 h) (two or three of the following topics)
    NMR molecules in liquids; photons and atoms in cavities; artificial atoms and circuit QED; trapped ions and cold atoms; nanomechanical and nanoelectromechanical systems; topological excitations in condensed matter.
  5. Selected topic (2 h) (seminar, one of the following topics)
    New quantum technologies for measuremet and sensing; open quantum systems; introduction to quantum information; introduction to quantum thermodynamics; introduction to quantum control theory.


Textbook Information

See the italian version




Open in PDF format Versione in italiano