Critical exponents in metastable decay via quantum activation

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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Scientific paper

10.1103/PhysRevE.75.011101

We consider decay of metastable states of forced vibrations of a quantum oscillator close to bifurcation points, where dissipation becomes effectively strong. We show that decay occurs via quantum activation over an effective barrier. The decay probability $W$ scales with the distance $\eta$ to the bifurcation point as $|\ln W|\propto \eta^{\xi}$. The exponent $\xi$ is found for a resonantly driven oscillator and an oscillator modulated at nearly twice its eigenfrequency.

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