X iv : m at h - ph / 0 20 90 29 v 2 1 3 M ar 2 00 3 Adiabatic charge pumping in open quantum systems

نویسندگان

  • J. E. Avron
  • A. Elgart
  • G. M. Graf
  • L. Sadun
  • K. Schnee
چکیده

We introduce a mathematical setup for charge transport in quantum pumps 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 Büttiker, Prêtre, and Thomas, relating it to the frozen S-matrix and its time derivative.

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تاریخ انتشار 2008