Switching via quantum activation: A parametrically modulated oscillator

Details Switching via quantum activation: A parametrically modulated oscillator Switching via quantum activation: A parametrically modulated oscillator

2006-02-12

arxiv.org/abs/cond-mat/0602288v2

Phys. Rev. A 73, 042108 (2006)

Physics

Condensed Matter

Statistical Mechanics

15 pages, 10 figures, typos corrected

Scientific paper

10.1103/PhysRevA.73.042108

We study switching between period-two states of an underdamped quantum oscillator modulated at nearly twice its natural frequency. For all temperatures and parameter values switching occurs via quantum activation: it is determined by diffusion over oscillator quasienergy, provided the relaxation rate exceeds the rate of interstate tunneling. The diffusion has quantum origin and accompanies relaxation to the stable state. We find the semiclassical distribution over quasienergy. For T=0, where the system has detailed balance, this distribution differs from the distribution for $T\to 0$; the T=0 distribution is also destroyed by small dephasing of the oscillator. The characteristic quantum activation energy of switching displays a typical dependence on temperature and scaling behavior near the bifurcation point where period doubling occurs.

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