Quantum stirring of particles in closed devices
Abstract
We study the quantum analogue of stirring of water inside a cup using a spoon. This can be regarded as a prototype example for quantum pumping in closed devices. The current in the device is induced by translating a scatterer. Its calculation is done using the Kubo formula approach. The transported charge is expressed as a line integral that encircles chains of Dirac monopoles. For simple systems, the results turn out to be counterintuitive, e.g. as we move a small scatterer 'forward' the current is induced 'backwards'. One should realize that the route towards quantumclassical correspondence has to do with 'quantum chaos' considerations, and hence assumes greater complexity of the device. We also point out the relation to the familiar Smatrix formalism which is used to analyse quantum pumping in open geometries.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 March 2006
 DOI:
 10.1088/03054470/39/10/004
 arXiv:
 arXiv:condmat/0510289
 Bibcode:
 2006JPhA...39.2287R
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 20 pages, 12 figures, improved Introduction