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Gauge fields, geometric phases, and quantum adiabatic pumps
Huan-Qiang Zhou1, Sam Young Cho, Ross H McKenzie
1Centre for Mathematical Physics, The University of Queensland, Queensland 4072, Australia. hqz@maths.uq.edu.au
Abstract:
Quantum adiabatic pumping of charge and spin between two reservoirs (leads) has recently been demonstrated in nanoscale electronic devices. Pumping occurs when system parameters are varied in a cyclic manner and sufficiently slowly that the quantum system always remains in its ground state. We show that quantum pumping has a natural geometric representation in terms of gauge fields (both Abelian and non-Abelian) defined on the space of system parameters. Tunneling from a scanning tunneling microscope tip through a magnetic atom could be used to demonstrate the non-Abelian character of the gauge field.
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