## Forced synchronization of a quantum dissipative dynamics

### I. Goychuk, J. Casado Pascual, M. Morillo, J. Lehmann und P. Hänggi

in: Noise and Fluctuations, ICNF 2007, M. Tacano, Y. Yamamoto, and M. Nakao, eds. (AIP, Melville, New York, USA)
507
(2007)

Preprint:
ICNF_2007.pdf

We generalize the phenomenon of forced stochastic synchronization into the quantum domain within the framework of a paradigmatic spin-boson model (tunneling charge, or flipping spin 1/2 coupled to an environment) which is driven by an external periodic rectangular field. The overdamped regime of dissipative quantum tunneling is studied. Thermal noise assisted synchronization of a very high quality is shown to occur in a broad range of temperatures, driving strengths and frequencies, if the external driving frequency exceeds the zero-temperature limit of dissipative tunneling rate, the dissipation strength exceeds a critical value, and the driving is sufficiently strong. A simple criterion for such stochastic synchronization is established. Both the similarities and the profound differences with the akin phenomenon of quantum stochatic resonance are outlined.

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