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We demonstrate that local application of a weak external field increasesdistinguishability between states with and without initial correlations. Weconsider the case where a two-level system linearly and adiabatically interactswith an infinite number of bosons. We evaluate the trace distance (or,equivalently, the Hilbert-Schmidt distance) between the quantum states whichevolve from two kinds of initial states; the correlated Gibbs state and itsuncorrelated marginal state. We find that the trace distance increases aboveits initial value for any and all parameter settings. This indicates that wecan explore the existence of initial system-environment correlations withapplying a local external field, which causes the breakdown of thecontractivity.

Exploring initial correlations in a Gibbs state by local application of external field