## Abstract

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 language | English |
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Pages (from-to) | 2287-2306 |

Number of pages | 20 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 39 |

Issue number | 10 |

DOIs | |

State | Published - 10 Mar 2006 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy