  States of Low Energy are a class of exact Hadamard states for free quantum
fields on cosmological spacetimes whose structure is fixed at {\it all} scales
by a minimization principle. The original construction was for
Friedmann-Lema\^{i}tre geometries and is here generalized to anisotropic
Bianchi I geometries relevant to primordial cosmology. In addition to proving
the Hadamard property, systematic series expansions in the infrared and
ultraviolet are developed. The infrared expansion is convergent and induces in
the massless case a leading spatial long distance decay that is always
Minkowski-like but anisotropy modulated. The ultraviolet expansion is shown to
be equivalent to the Hadamard property, and a non-recursive formula for its
coefficients is presented.
