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We develop a versatile master equation approach to describe thenon-equilibrium dynamics of a two-level system in contact with a bosonicenvironment, which allows for the exploration of a wide range of parameterregimes within a single formalism. As an experimentally relevant example, weapply this technique to the study of excitonic Rabi rotations in a drivenquantum dot, and compare its predictions to the numerical Feynman integralapproach. We find excellent agreement between the two methods across agenerally difficult range of parameters. In particular, the variational masterequation technique captures effects usually considered to be non-perturbative,such as multi-phonon processes and bath-induced driving renormalisation, andcan give reliable results even in regimes in which previous master equationapproaches fail.

A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots