Classical and quantum pumping in closed systems

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Pumping of charge (Q) in a closed ring geometry is not quantized even in the strict adiabatic limit. The deviation form exact quantization can be related to the Thouless conductance. We use the Kubo formalism as a starting point for the calculation of both the dissipative and the adiabatic contributions to Q. As an application we bring examples for classical dissipative pumping, classical adiabatic pumping, and in particular we make an explicit calculation for quantum pumping in case of the simplest pumping device, which is a three site lattice model. We make a connection with the popular S-matrix formalism which has been used to calculate pumping in open systems.

Original languageEnglish
Pages (from-to)583-588
Number of pages6
JournalSolid State Communications
Issue number9
StatePublished - 1 Mar 2005


  • D. Linear response
  • D. Mesoscopics
  • D. Quantum chaos
  • D. Quantum pumping

ASJC Scopus subject areas

  • General Chemistry
  • Condensed Matter Physics
  • Materials Chemistry


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