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The magnetar Swift J1822.3$-$1606 entered an outburst phase in 2011 July.Previous X-ray studies of its post-outburst rotational evolution yieldedinconsistent measurements of the spin-inferred magnetic field. Here we presentthe timing behavior and flux relaxation from over two years of Swift, XTE, andChandra observations following the outburst. We find that the ambiguity inprevious timing solutions was due to enhanced spin down that resembles anexponential recovery following a glitch at the outburst onset. After fittingout the effects of the recovery, we measure a long-term spin-down rate of$\dot\nu=(-3.0\pm0.3)\times10^{-8}$ s$^{-2}$ which implies a dipolar magneticfield of $1.35\times10^{13}$ G, lower than all previous estimates for thissource. We also consider the post-outburst flux evolution, and fit it with bothempirical and crustal cooling models. We discuss the flux relaxation in thecontext of both crustal cooling and magnetospheric relaxation models.

The long-term post-outburst spin down and flux relaxation of magnetar Swift J1822.3$-$1606