Adiabatic charge pumping in open quantum systems | Zendy

Avron Joseph E. | Zendy; Elgart Alexander | Zendy; Graf Gian Michele | Zendy; Sadun Lorenzo | Zendy; Schnee Kai | Zendy

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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.

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