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TT: Fachverband Tiefe Temperaturen
TT 9: Quantum Liquids, Miscellaneous 1
TT 9.10: Talk
Monday, March 11, 2013, 12:00–12:15, H21
A New Way to Create Energy Band: Crystal Formed in Phase Space — •Lingzhen Guo1,2,3, Michael Marthaler1,3, and Gerd Schön1,3 — 1Institut für Theoretische Festkörperphysik, Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany — 2Department of Physics, Beijing Normal University, Beijing, China — 3DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology, Karlsruhe, Germany
We propose a new way to create an energy band structure by properly driving a nonlinear system. In a natural solid, the energy band structure is a result of the periodicity of the Hamiltonian in the real space. For artificial materials, such as photonic crystals and many other quantum metamaterials, the energy band structure comes from artificial periodic structures fabricated in the laboratory. However, it is also possible to create a periodic structure in total phase space. We find that the Duffing oscillator, if driven by an external field via high order coupling, can exhibit such a periodic structure in phase space. We will calculate the resulting quasi-energy bandstructure and the emission spectrum. Compared to the conventional quantum meta-materials, the bandgaps and bandwidths of this phase space crystal can be tuned conveniently by changing the driving field's parameters.