Dynamical hysteresis and stochastic resonance in driven dissipative quantum two-state system

Abstract

We study the dynamics of a periodically driven two-state system coupled to thermal environment. In the high temperature limit we have obtained analytic expressions for the average position of the particle and hysteresis loop area. Both these quantities exhibit stochastic resonance behavior as a function of various parameters of the problem. These two resonances, however, occur at different values of the parameters. The resonance condition obtained from the study of phase delay exhibits resonance at a fixed frequency independent of other physical parameters.