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We study the dynamics of an initially thermalized spin chain in the quantumXY-model, after sudden coupling to a heat bath of lower temperature at one endof the chain. In the semi-classical limit we see an exponential decay of thesystem-bath heatflux by exact solution of the reduced dynamics. In the fullquantum description however, we numerically find the heatflux to reachintermediate plateaus where it is approximately constant -- a phenomenon thatwe attribute to the finite speed of heat transport via spin waves.

Finite speed heat transport in a quantum spin chain after quenched local cooling