Tatsuro Yuge, Takahiro Sagawa, Ayumu Sugita, Hisao Hayakawa
For an open quantum system, we investigate the pump current that is induced by a slow modulation of control parameters on the bases of the quantum master equation and full counting statistics. We find that the average and the cumulant generating function of the pump are characterized by the geometrical Berry-phase-like quantities in the parameter space, which is associated with the generator of the master equation. By our formulation, we can discuss the geometrical pump under the control of the chemical potentials and temperatures of reservoirs. We demonstrate the formulation by spinless electrons in coupled quantum dots. We show that the geometrical pump is prohibited for the case of non-interacting electrons if we modulate only temperatures and chemical potentials of reservoirs, while the geometrical pump occurs in the presence of an interaction between electrons.
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http://arxiv.org/abs/1208.3926
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