Quantum stirring of particles in closed devices
arXiv:cond-mat/0510289 · doi:10.1088/0305-4470/39/10/004
Abstract
We study the quantum analog 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 matrix formalism which is used to analyze quantum pumping in open geometries.
arXiv comment20 pages, 12 figures, improved Introduction
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- Quantum Paddlewheel with Ultracold Atoms in Waveguides
- Quantum transport and counting statistics in closed systems
- Energy transfer using unitary transformations
- Non-adiabatic pumping in an oscillating-piston model
- Multiple path adiabatic crossing in a 3 site ring
- Multiple path transport in quantum networks