  We study a feasibility of precision measurements of surface potentials at
micrometer distances using resonant tunneling of cold atoms trapped in vertical
optical lattices. A modulation of an amplitude of the lattice potential induces
atomic tunneling among the lattice sites. The resonant modulation frequency
corresponds to a difference of potential energy between latices sites which is
defined by external force i.e. gravity. The vicinity of the surface alters the
external potentials, and hence the resonant frequency. Application of this
method allows accurate study of Casimir-type potentials and improvement of the
present experimental validity of the Newtonian gravitational potential at the
distance range of 5 - 30 micrometers.
