Quantum pumping and dissipation in closed systems
Abstract
Current can be pumped through a closed system by changing parameters (or fields) in time. Linear response theory (the Kubo formula) allows one to analyze both the charge transport and the associated dissipation effect. We make a distinction between adiabatic and non-adiabatic regimes, and explain the subtle limit of an infinite system. As an example we discuss the following question: What is the amount of charge which is pushed by a moving scatterer? In the low-frequency (DC) limit we can write dQ=-G dX, where dX is the displacement of the scatterer. Thus the issue is to calculate the generalized conductance G.
- Publication:
-
Physica E Low-Dimensional Systems and Nanostructures
- Pub Date:
- October 2005
- DOI:
- 10.1016/j.physe.2005.05.028
- arXiv:
- arXiv:cond-mat/0510318
- Bibcode:
- 2005PhyE...29..308C
- Keywords:
-
- Condensed Matter - Mesoscale and Nanoscale Physics
- E-Print:
- 12 pages, 6 figures, Lecture notes for the proceedings of the conference "Frontiers of Quantum and Mesoscopic Thermodynamics" [Prague, July 2004]