Dresden 2011 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 29: Poster Session: Quantum Information Systems, Quantum Coherence (jointly with SAMOP)
TT 29.1: Poster
Tuesday, March 15, 2011, 18:00–21:00, P1
Temperature Dependence of Driven Duffing Oscillators — •Lingzhen Guo1,3, Michael Marthaler1,2, Stephan André1,2, 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, Beijing Normal University, Beijing 100875, China
A broad class of physical systems such as Josephson junctions, trapped electrons, and nanomechanical oscillators, can be well described by the Duffing oscillator under proper conditions. A driven Duffing oscillator (DDO) can exhibit many profound features, such as dynamical bifurcation. Near the bifurcation point, the oscillator state is highly sensitive to perturbation. This property can be exploited for applications such as sensing devices, amplifiers, and logic devices. In the light of nanomechanics, the quantum properties of the driven Duffing oscillator gained renewed interest in the past years, such as resonant tunneling and photon-assisted tunneling and the switching rate between thebistable states near the bifurcation point due to quantum and/or thermal fluctuations. In the bistable region of a DDO, the stationary probability distribution in phase space (i.e., Wigner function) or the distribution over energy levels of DDO in the finite temperature is also an important and interesting problem. Based on simulating a Lindblad-type master equation, we investigate the relationship of the statiobary probability distribution and the temperature.