SPFDU12

UE Out of equilibrium quantum statistical physics

Unité d'enseignement (UE) de 4 crédits

^En UE enseignée en Anglais

DESCRIPTION
ORGANISATION
FORMATIONS

Contenu

Review of zero temperature field theoretical techniques and Dyson equation
Introduction to non equilibrium field theoretical formlism: Keldysh Green's functions
Application of the Keldysh method for fermion systems: Hamiltonian (microscopic ) derivation of the Landauer formula
Introduction to the integer and fractional quantum Hall effect: fractional charge and statistics of quasiparticles
Chiral Luttinger liquid formalism for the FQHE, calculation of current and noise in the presence of a VC/AC voltage bias

Compétences à acquérir

Keldysh-Schwinger formalism for non equilibrium quantum transport

Hamiltonian formalism toward the calculation of charge current and noise (current -current correlation function in time)

Introduction to chiral Luttinger liquids to describe edge excitations in the quantum Hall effect

Applications to electronic quantum transport in the fractional quantum Hall effect

Langue(s) d'enseignement

Anglais

Bibliographie

1. arXiv:cond-mat/0501208 [pdf] Noise in mesoscopic physics, T. Martin, les Houches Session LXXXI, H. Bouchiat et. al. eds. (Elsevier 2005)

2. Abrikosov, Gorkov and Dyloshinsky, Quantum field theory methods in statistical physics.

3. J. Rammer, Quantum field theory of non equilibrium states.

Prérequis obligatoires

Advanced quantum mechanics, statistical physics, second quantization

Prérequis recommandés

It is a bonus (but not an obligation) to have followed the Advanced quantum statistical physics course