Adiabatic charge pumping in open quantum systems

Details Adiabatic charge pumping in open quantum systems Adiabatic charge pumping in open quantum systems

2002-09-16

arxiv.org/abs/math-ph/0209029v2

Physics

Mathematical Physics

30 pages, 1 figure, updated version

Scientific paper

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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