M. Grifoni, DYNAMICS OF THE DISSIPATIVE 2-STATE SYSTEM UNDER AC MODULATION OF BIAS AND COUPLING ENERGY, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 54(4), 1996, pp. 3086-3089
We consider a driven dissipative two-state system subject to periodic
modulation of both of its two parameters. The exact master equation th
at governs the dynamics is derived. Closed form analytical solutions a
re presented within the noninteracting-blip approximation for the stoc
hastic forces, and for the exactly solvable case alpha=1/2 of the Ohmi
c viscosity. We apply these results to a tight-binding particle with z
ero intrinsic bias. Selection rules are obeyed for arbitrary dissipati
on. For Ohmic dissipation, the effects of fast asymmetry modulation re
sult in an overall reduction of quantum coherence and in a possible lo
calization. On the contrary,a multiplicative modulation of the tunnell
ing coupling leads to an exponential enhancement of tunnelling.