Berlin 2012 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 29: Superconductivity: Tunnelling, Josephson Junctions, SQUIDs 1
TT 29.4: Vortrag
Mittwoch, 28. März 2012, 15:45–16:00, H 2053
Temperature Dependence of Driven Duffing Oscillator — •Lingzhen Guo1,4, Michael Marthaler1,2, Vittorio Peano1,3, and Gerd Schön1,2 — 1Institut für Theoretische Festkörperphysik, Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany — 2DFG-Center for Functional Nanostructures (CFN),Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany — 3Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA — 4Department of Physics, Beijing Normal University, Beijing 100875, China
We investigate the temperature dependence of the stationary distribution for the Driven Duffing Oscillator (DDO). We focus on the fragility of the zero temperature solution. This unusual phenomenon means that the probabilities over the two stable vibrational states will endure an abrupt change in the presence of a small temperature. In this work, we first numerically demonstrate the fragility of the zero temperature solution. Realizing that this is due to the violation of the detailed balance condition, we find a condition for the divergency of the small temperature perturbation theory. Then an analytical expression for a critical temperature is obtained. Our results reveal that this fragility is more and more prominent as the number of states in the quasienergy potential wells increases which indicates a semiclassical regime. The fragile regime can be investigated with currently existing experimental setups.