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Hannover 2013 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 35: Poster I

Q 35.5: Poster

Tuesday, March 19, 2013, 16:00–18:30, Empore Lichthof

Adiabatic interaction representation and Floquet Theory: quantum state dynamics under periodic Hamiltonians with different energy scales — •Hermann Kampermann1, Dagmar Bruß1, Alex Bain2, and Randall Dumont21Institut für theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf — 2Department of Chemistry, McMaster University, Ontario, Canada

We consider a quantum system which evolves under a time-dependent periodic Hamiltonian. We focus on the situation that the Hamiltonian contains terms which have large energy splittings in comparison to the periodic frequency of the Hamiltonian. An adiabatic interaction basis in Floquet space is used which allows to calculate accurate frequency spectra for an observable of a given quantum state. We exemplify the power of this framework by calculating the magic-angle-spinning nuclear magnetic resonance spectra of a spin-1/2 nucleus dipolar coupled to spin-1 or spin-3/2 nuclei.

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