Field theory of the quantum kicked rotor
chao-dyn
2010-11-19 v2 Condensed Matter
Chaotic Dynamics
Abstract
The quantum kicked rotor is investigated by field theoretical methods. It is shown that the effective theory describing the long wave length physics of the system is precisely the supersymmetric nonlinear sigma-model for quasi one-dimensional metallic wires. This proves that the analogy between chaotic systems with dynamical localization and disordered metals can indeed be exact. The role of symmetries is discussed.
Keywords
Cite
@article{arxiv.chao-dyn/9609014,
title = {Field theory of the quantum kicked rotor},
author = {Alexander Altland and Martin R. Zirnbauer},
journal= {arXiv preprint arXiv:chao-dyn/9609014},
year = {2010}
}
Comments
Some changes in connection with the discussion of the rotor's localization length have been made (cf. last paragraph)