This Training School is a joint
project
of **CECAM**
and
the **COST
Action MP1006** ("Fundamental Problems in Quantum
Physics"). The School takes place from 9-12 April 2013 at
the University of Rome "La Sapienza" and will be
preceded by a one-day COST focus meeting (8 April, same venue).

The understanding of the quantum-classical boundary, and the transition from quantum to classical behavior is essential both from a fundamental and from a practical, applied viewpoint. This School seeks to address these issues from the combined perspectives of dissipation theory, statistical approaches, and semiclassical and mixed quantum-classical theories. The decoherence phenomenon will naturally result as one of the central themes. A particular focus will be placed upon the non-Markovian regime where standard Markovian master equations ("fast fluctuation" case) cannot be employed. Various theoretical approaches as well as numerical techniques will be presented and discussed.

Six main lecturers will cover the following topics:

- non-Markovian open systems and applications of memory effects (J. Piilo)
- open systems, quantum information theory (F. Petruccione)
- the quantum-classical transition in complex quantum systems (A. Buchleitner)
- quantum-classical descriptions and decoherence (R. Kapral)
- quantum-classical transition and phase space theory (D. Tannor)
- path integral approaches and classical-limit description (D. Coker)

In addition, several short presentations are planned which focus upon numerical techniques:

- coherent-state methods (R. Martinazzo)
- multiconfigurational techniques (I. Burghardt)
- path integrals and semiclassical techniques (J. Vanicek)
- quantum trajectory approaches (A. Sanz)

Overall, this Tutorial aims to provide a unified view that is rooted in a fundamental understanding of the quantum-to-classical transition, and seeks to connect explicitly to the simulation of complex systems.

The Organizers

**Sara Bonella **(sara.bonella at roma1.infn.it)

Departement of Physics, University of Rome "La Sapienza"

**Giovanni Ciccotti **(giovanni.ciccotti at roma1.infn.it)

Departement of Physics, University of Rome "La
Sapienza"

**Ángel Sanz Ortiz **(asanz at iff.csic.es)

Instituto de Fisica Fundamental, IFF-CSIC (Spain)

**Irene Burghardt **(burghardt at chemie.uni-frankfurt.de)

Institut für Physikalische und Theoretische Chemie,
Goethe-Universität (Frankfurt)

**Fernanda Lupinacci **(Scientific
Secretary - fernanda.lupinacci at roma1.infn.it)

Departement of Physics, University of Rome "La Sapienza"