Among many possibilities provided by nanotechnologies one of the most challenging is the possibility of study quantum tunneling through nanoobject moving in space by means of nanomechanical or electrostatic forces or due to excitation of vibration eigenmodes. We discuss various aspects of quantum tunneling through molecules and/or quantum dots in Kondo resonance regime. Kondo anomalies in tunnel conductance of molecular complexes may be induced by phonon absorption and emission assisting single-electron tunneling [1]. Kondo shuttling through double quantum dots arises due to specific dynamical symmetry of spin multiplets characterizing magnetic state of these nanoobjects [2]. This dynamical symmetry allows also conversion of time-dependent charge input signal applied to the gate into Kondo response in tunnel conductance [3]. All these effects may be described by means of the Anderson model applied to molecular complexes or double quantum dots in a contact with metallic electrodes with time-dependent tunneling between various components of nanodevice.

[1] K. Kikoin, M.N. Kiselev, M.R. Wegewijs, Phys. Rev. Lett. 96, 176801 (2006)

[2] M.N. Kiselev, K. Kikoin, R.I. Shekhter, and V.M. Vinokur, Phys. Rev. B 74, 233403 (4) (2006)

[3] M.N. Kiselev, K. Kikoin, J. Richert, arXiv:0803.2676

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1. Quantum tunneling through moving nanoobjects