  We calculate entanglement entropy in a non-relativistic field theory
described by the Schr\"odinger operator. We demonstrate that the entropy is
characterized by i) the area law and ii) UV divergences that are identical to
those in the relativistic field theory. These observations are further
supported by a holographic consideration. We use the non-relativistic symmetry
and completely specify entanglement entropy in large class of non-relativistic
theories described by the field operators polynomial in derivatives. We suggest
that the area law of the entropy can be tested in experiments with condensed
matter systems such as liquid helium.
