Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-10-28
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
To be published in "Applications of Nonlinear Dynamics: Model and Design of Complex Systems", Proceedings of ICAND 2007 (Sprin
Scientific paper
Periodically modulated nonlinear oscillators often display bistability of forced vibrations. This bistability can be used for new types of quantum measurements. They are based on switching between coexisting vibrational states. Since switching is accompanied by a large change of the amplitude and phase of forced vibrations, the measurements are highly sensitive. Quantum and classical noise plays dual role. It imposes a limitation on sensitivity in the familiar regime of a bifurcation amplifier. On the other hand, it makes it possible to use a bistable modulated oscillator in a new regime of a balanced dynamical bridge. We discuss the switching probabilities and show that they display scaling with control parameters. The critical exponents are found for different types of bifurcations and for different types of noise.
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