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.
Corsi, L., Genovese, G. (2017). Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 354(3), 1173-1203 [10.1007/s00220-017-2917-7].
Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain
Corsi, Livia
;Genovese, Giuseppe
2017-01-01
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.File in questo prodotto:
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