Quantum stirring of particles in closed devices

Gilad Rosenberg, Doron Cohen

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We study the quantum analogue of stirring of water inside a cup using a spoon. This can be regarded as a prototype example for quantum pumping in closed devices. The current in the device is induced by translating a scatterer. Its calculation is done using the Kubo formula approach. The transported charge is expressed as a line integral that encircles chains of Dirac monopoles. For simple systems, the results turn out to be counter-intuitive, e.g. as we move a small scatterer 'forward' the current is induced 'backwards'. One should realize that the route towards quantum-classical correspondence has to do with 'quantum chaos' considerations, and hence assumes greater complexity of the device. We also point out the relation to the familiar S-matrix formalism which is used to analyse quantum pumping in open geometries.

Original languageEnglish
Pages (from-to)2287-2306
Number of pages20
JournalJournal of Physics A: Mathematical and General
Issue number10
StatePublished - 10 Mar 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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