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We investigate the preparation of a target initial state for a two-level(qubit) system from a system-environment equilibrium or correlated state by anexternal field. The system-environment equilibrium or correlated state resultsfrom the inevitable interaction of the system with its environment. Anefficient method in an extended auxiliary Liouville space is introduced todescribe the dynamics of the non-Markovian open quantum system in the presenceof a strong field and an initial system-environment correlation. By using thetime evolutions of the population difference, the state trajectory in the Blochsphere representation and the trace distance between two reduced system statesof the open quantum system, the effect of initial system-environmentcorrelations on the preparation of a system state is studied. We introduce anupper bound and a lower bound for the trace distance within our perturbationformalism to describe the diverse behaviors of the dynamics of the tracedistance between various correlated states after the system state preparation.These bounds that are much more computable than similar bounds in theliterature give a sufficient condition and a necessary condition for theincrease of the trace distance and are related to the witnesses ofnon-Markovianity and initial system-bath correlation.

Effects of initial system-environment correlations on open quantum system dynamics and state preparation