Decoherence in adiabatic quantum evolution - application to Cooper pair pumping

Details Decoherence in adiabatic quantum evolution - application to Cooper pair pumping Decoherence in adiabatic quantum evolution - application to Cooper pair pumping

2009-11-19

arxiv.org/abs/0911.3750v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, derivation of the master equation in the appendix

Scientific paper

One of the challenges of adiabatic control theory is the proper inclusion of the effects of dissipation. Here, we study the adiabatic dynamics of an open two-level quantum system deriving a generalized master equation to consistently account for the combined action of the driving and dissipation. We demonstrate that in the zero temperature limit the ground state dynamics is not affected by environment. As an example, we apply our theory to Cooper pair pumping which demonstrates the robustness of ground state adiabatic evolution.

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