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].

Long Time Behaviour of a Local Perturbation in the Isotropic XY Chain Under Periodic Forcing

Corsi L.;Genovese G.
2021-01-01

Abstract

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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/396827
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