2009/02/28 by G. Braeunlich, G. Bräunlich, G. M. Graf +1 · 1 citation
Mathematics · Physics and Astronomy · #Adiabatic process #Advanced Thermodynamics and Statistical Mechanics #Equivalence (formal languages) #Gapless playback #Quantum #Quantum and electron transport phenomena #Quantum system #Scattering #Spectral Theory in Mathematical Physics #Topology (electrical circuits) #cond-mat.mes-hall #math-ph #math.MP #msc:34L99 #msc:81Q10
paper · pdf · doi:10.1007/s00220-009-0983-1
LaTeX, 18 pages, replaced by version accepted for publication
arxiv created 2009/09/19 · openalex publication_date 2009/12/26 · arxiv updated 2015/05/12 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The Schroedinger equation with a potential periodically varying in time is used to model adiabatic quantum pumps. The systems considered may be either infinitely extended and gapped or finite and connected to gapless leads. Correspondingly, two descriptions of the transported charge, one relating to a Chern number and the other to a scattering matrix, have been available for some time. Here we generalize the first one and establish its equivalence to the second.