Nonequilibrium magnetization in a ballistic quantum dot

We show that Aharonov-Bohm (AB) oscillations in the magnetic moment of an integrable ballistic quantum dot can be destroyed by a time dependent magnetic flux. The effect is due to a nonequilibrium population of perfectly coherent electronic states. For real ballistic systems the equilibration process, which involves a special type of inelastic electron backscattering, can be so ineffective that AB oscillations are suppressed when the flux varies with frequency ω∼${10}^7$–${10}^8$ ${\mathrm{s}}^{\mathrm{-}1}$. The effect can be used to measure relaxation times for inelastic backscattering.