LOW-TEMPERATURE RELAXATIONAL DYNAMICS OF THE ISING CHAIN IN A TRANSVERSE FIELD

We present asymptotically exact results for the real time order parame ter correlations of a class of d = 1 Ising models in a transverse fiel d at low temperatures (T) on both sides of the quantum critical point. The correlations are a product of a T-independent factor determined b y quantum effects, and a T-dependent relaxation function which comes f rom a classical theory. We confirm our predictions by a no-foe-paramet er comparison with numerical studies on the nearest neighbor spin-1/2 model.