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Adiabatic charge pumping in open quantum systems
Author(s) -
Avron Joseph E.,
Elgart Alexander,
Graf Gian Michele,
Sadun Lorenzo,
Schnee Kai
Publication year - 2004
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3051
Subject(s) - adiabatic process , hamiltonian (control theory) , charge (physics) , quantum , adiabatic quantum computation , mathematics , limit (mathematics) , quantum system , quantum mechanics , physics , quantum computer , mathematical analysis , mathematical optimization
We introduce a mathematical setup for charge transport in quantum pumps connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current through the pump is given by a formula of Büttiker, Prêtre, and Thomas, relating it to the frozen S ‐matrix and its time derivative. © 2004 Wiley Periodicals, Inc.