Adiabatic charge pumping in open quantum systems

2002/09/16 by J. E. Avron, A. Elgart, Alexander Elgart +10 · 1 citation
Mathematics · Physics and Astronomy · #81U99 #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum and electron transport phenomena #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:81U99

paper · pdf · doi:10.48550/arxiv.math-ph/0209029

30 pages, 1 figure, updated version

openalex publication_date 2002/09/16 · arxiv created 2003/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current through the pump is given by a formula of Buttiker, Pretre, and Thomas, relating it to the frozen S-matrix and its time derivative.

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