Regensburg 2016 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 4: Dynamics in many-body systems: Equilibriation and localization
(Joint session of DY and TT organized by DY)

TT 4.8: Talk

Monday, March 7, 2016, 11:30–11:45, H47

Controlling Fluctuations in Parametrically Driven Oscillators and Lattices — •Beilei Zhu and Ludwig Mathey — ZOQ/ILP, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany

We consider an oscillator parametrically and periodically driven at a high frequency . In the quantum limit we obtain an effective Hamiltonian in the interaction picture analytically via Magnus Expansion. We compare this analytical result with a numerical one, which is developed in the classic limit in the Langevin formalism. The simulation results show that the fluctuations of the oscillator coordinates are reduced at high driving frequencies and moderate driving amplitudes. We also obtain qualitatively similar results in a lattice of parametric oscillators.