  The Cooper pairs in superconducting condensates are shown to acquire a
temperature-dependent dc magnetic moment under the effect of the circularly
polarized electromagnetic radiation. The mechanisms of this inverse Faraday
effect are investigated within the simplest version of the phenomenological
dynamic theory for superfluids, namely, the time-dependent Ginzburg-Landau (GL)
model. The light-induced magnetic moment is shown to be strongly affected by
the nondissipative oscillatory contribution to the superconducting order
parameter dynamics which appears due to the nonzero imaginary part of the GL
relaxation time. The relevance of the latter quantity to the Hall effect in
superconducting state allows to establish the connection between the direct and
inverse Faraday phenomena.
