Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain
arXiv:1609.07665 · doi:10.1007/s00220-017-2917-7
Abstract
We study the isotropic XY chain with a transverse magnetic field acting on a single site and analyse the long time behaviour of the time-dependent state of the system when a periodic perturbation drives the impurity. We find that for high frequencies the state approaches a periodic orbit synchronised with the forcing and provide the explicit rate of convergence to the asymptotics.
31 pages. Many typos fixed, two references added
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