FLOQUET FORMALISM OF QUANTUM PUMPS

2004/09/14 by Sang Wook Kim, SANG WOOK KIM
Chemistry · Physics and Astronomy · #Adiabatic process #Adiabatic quantum computation #Adiabatic theorem #Advanced Physical and Chemical Molecular Interactions #Floquet theory #Formalism (music) #Mechanical and Optical Resonators #Quantum #Quantum and electron transport phenomena #Scattering #cond-mat.mes-hall

paper · pdf · doi:10.1142/s0217979204026317

published as Int. J. Mod. Phys. B vol.18, 3071 (2004) · Latex2e 16 pages, 6 figures. A review paper to appear in Int. J. Mod. Phys. B

arxiv created 2004/09/14 · openalex publication_date 2004/10/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We review Floquet formalism of quantum electron pumps. In the Floquet formalism the quantum pump is regarded as a time dependent scattering system, which allows us to go beyond the adiabatic limit. It can be shown that the well-known adiabatic formula given by Brouwer can be derived from the adiabatic limit of Floquet formalism. We compare various physical properties of the quantum pump both in the adiabatic and in the non-adiabatic regime using the Floquet theory.

Citations

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