Driven chaotic mesoscopic systems, dissipation and decoherence
Abstract
Driven chaotic systems are of interest in mesoscopic physics, as well as in nuclear, atomic and molecular physics. Such systems [coordinates $(Q,P)$]$ tend to absorb energy. This irreversible effect is known as dissipation. "Driving" means that a parameter $x$ is changed in time. More generally, $x$ may be a dynamical variable. In such case the interaction of $(x,p)$ with the environmental degrees of freedom $(Q,P)$ leads to dephasing as well as to dissipation. We introduce a general framework for the analysis of dissipation and dephasing, and we clarify the tight connection to recent studies of quantum irreversibility (also referred to as "Loschmidt echo" or as the "fidelity" of quantum computation). Specific model systems that will be presented are: particle in a box driven by moving a wall, and particle in a box/ring driven by electromotiveforce. These two examples are related to studies of nuclear friction and mesoscopic conductance.
 Publication:

arXiv eprints
 Pub Date:
 March 2004
 DOI:
 10.48550/arXiv.quantph/0403061
 arXiv:
 arXiv:quantph/0403061
 Bibcode:
 2004quant.ph..3061C
 Keywords:

 Quantum Physics;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 Lecture notes of a course in the 2002 Karpacz school, 19 pages, 18 figures, with Refs updated