Non-adiabatic pumping in an oscillating-piston model
Department of Physics, Ben-Gurion University of the Negev - Beer-Sheva 84105, Israel
2 Departamento de Física, Universidad Nacional de Colombia - Bogotá D.C., Colombia
3 CeiBA - Complejidad - Bogotá D.C., Colombia
Accepted: 2 April 2012
We consider the prototypical “piston pump” operating on a ring, where a circulating current is induced by means of an AC driving. This can be regarded as a generalized Fermi-Ulam model, incorporating a finite-height moving wall (piston) and non-trivial topology (ring). The amount of particles transported per cycle is determined by a layered structure of phase space. Each layer is characterized by a different drift velocity. We discuss the differences compared with the adiabatic and Boltzmann pictures, and highlight the significance of the “diabatic” contribution that might lead to a counter-stirring effect.
PACS: 87.15.hj – Transport dynamics / 05.45.Mt – Quantum chaos; semiclassical methods / 73.23.-b – Electronic transport in mesoscopic systems
© EPLA, 2012