Semiclassical theory of a quantum pump
arXiv:cond-mat/0607425 · doi:10.1103/PhysRevB.74.205327
Abstract
In a quantum charge pump, the periodic variation of two parameters that affect the phase of the electronic wavefunction causes the flow of a direct current. The operating mechanism of a quantum pump is based on quantum interference, the phases of interfering amplitudes being modulated by the external parameters. In a ballistic quantum dot, there is a minimum time before which quantum interference can not occur: the Ehrenfest time. Here we calculate the current pumped through a ballistic quantum dot when the Ehrenfest time is comparable to the mean dwell time. Remarkably, we find that the pumped current has a component that is not suppressed if the Ehrenfest time is much larger than the mean dwell time.
14 pages, 8 figures. Revised version, minor changes
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- Quantum Paddlewheel with Ultracold Atoms in Waveguides
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