Geometry, Statistics and Asymptotics of Quantum Pumps
Avron, J. E. ; Elgart, A. ; Graf, G. M. ; Sadun, L.
arXiv, 0002194 / Harvested from arXiv
Text on arXiv
We give a pedestrian interpretation of a formula of Buttiker et. al. (BPT) relating the adiabatically pumped current to the S matrix and its (time) derivatives. We relate the charge in BPT to Berry's phase and the corresponding Brouwer pumping formula to curvature. As applications we derive explicit formulas for the joint probability density of pumping and conductance when the S matrix is uniformly distributed; and derive a new formula that describes hard pumping when the S matrix is periodic in the driving parameters.
Publié le : 2000-02-14
Classification:  Condensed Matter - Mesoscale and Nanoscale Physics,  Mathematical Physics,  Quantum Physics 
@article{0002194,
     author = {Avron, J. E. and Elgart, A. and Graf, G. M. and Sadun, L.},
     title = {Geometry, Statistics and Asymptotics of Quantum Pumps},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002194}
}

Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L. Geometry, Statistics and Asymptotics of Quantum Pumps. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002194/