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Exact quantum master equation for a driven Brownian oscillator system isconstructed via a Wigner phase-space Gaussian wave packet approach. Theinterplay between external field and dissipation leads to this system aneffective field correction that enhances the polarization. This cooperativeproperty is resulted from an effective bath response to the external fieldapplied on the system. It is important in the low-frequency driving andintermediate bath memory region. We demonstrate this non-Markovian effect onthe linear response and nonlinear dynamics and analyze the results togetherwith analytical asymptotic expressions.

Exact dynamics of driven Brownian oscillators