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Non-abelian Geometric phases and adiabatic quantum pumps

Speaker: V. Brosco, NEST-CNR-INFM, Pisa, Italy
Date & Time: March 27, 2006 - 1:30pm
Location: Serin 385E


Non-abelian Geometric phases and adiabatic quantum pumps
Physics and Astronomy


V. Brosco, NEST-CNR-INFM, Pisa, Italy
Serin 385E - 1:30 p.m.

We consider the problem of generation and detection of geometric phases using adiabatic quantum pumps. Starting from quantum adiabatic theorem we give a systematic treatment of adiabatic pumping in presence of degeneracies, in particular we derive a general relation between charge transferred through the pump during a cycle and the geometric part of the evolution operator of the system. In the abelian case, our calculation leads to the standard relation between pumped charge and Berry phase. We also discuss a possible set up where our results could be experimentally checked.

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