  Using numerical simulations of quenched SU(2) gauge theory we demonstrate
that an external magnetic field leads to spontaneous generation of quark
condensates with quantum numbers of electrically charged rho mesons if the
strength of the magnetic field exceeds the critical value eBc = 0.927(77) GeV^2
or Bc =(1.56 \pm 0.13) 10^{16} Tesla. The condensation of the charged rho
mesons in strong magnetic field is a key feature of the magnetic-field-induced
electromagnetic superconductivity of the vacuum.
