We study the isotropic XY quantum spin chain with a time-periodic transverse magnetic field acting on a single site. The asymptotic dynamics is described by a highly resonant Floquet–Schrödinger equation, for which we show the existence of a periodic solution if the forcing frequency is away from a discrete set of resonances. This in turn implies the state of the quantum spin chain to be asymptotically a periodic function synchronised with the forcing, also at arbitrarily low non-resonant frequencies. The behaviour at the resonances remains a challenging open problem.
Corsi, L., & Genovese, G. (2021). Long Time Behaviour of a Local Perturbation in the Isotropic XY Chain Under Periodic Forcing. ANNALES HENRI POINCARE' [10.1007/s00023-021-01128-y].
Titolo: | Long Time Behaviour of a Local Perturbation in the Isotropic XY Chain Under Periodic Forcing | |
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Data di pubblicazione: | 2021 | |
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Citazione: | Corsi, L., & Genovese, G. (2021). Long Time Behaviour of a Local Perturbation in the Isotropic XY Chain Under Periodic Forcing. ANNALES HENRI POINCARE' [10.1007/s00023-021-01128-y]. | |
Handle: | http://hdl.handle.net/11590/396827 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |