In these lectures we will introduce a selection of theoretical methods used to study the out of equilibrium dynamics of quantum complex systems.
We will start by recalling some essential features of quantum mechanics. Then we will enter the discussion of modern topics such as:
1- the definition and effects of a quantum bath,
2- the modelization and treatment of quenched randomness,
3- the description of chaos in quantum systems,
4- the dynamics following quenches.
At all stages a parallel with the classical counterparts will be made. Detailed notes will support the lectures.

references

Leticia Cugliandolo (Sorbonne Université)