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We investigate gradual development of the quasiparticle states in two quantumdots attached to opposite sides of the topological superconducting nanowire,hosting the boundary modes. Specifically, we explore the non-equilibriumcross-correlations transmitted between these quantum dots via the zero-energyMajorana modes. From the analytical and numerical results we reveal nonlocalfeatures in the transient behavior of electron pairing, which subsequentlycease while the hybrid structure evolves towards its asymptotic steady limitconfiguration. We estimate duration of these temporary nonlocal phenomena andinspect their possible manifestation in the quench-driven processes. Suchdynamical effects might play an important role in braiding protocols of thetopological and/or conventional superconducting quantum bits using nanoscopichybrid structures.

Transient effects in quantum dots contacted via topological superconductor