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Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain

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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.

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Authors and Affiliations

  1. School of Mathematics, Georgia Institute of Technology, 686 Cherry St. NW, Atlanta, GA, 30332, USA

    Livia Corsi

  2. Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, 8057, Zurich, Switzerland

    Giuseppe Genovese

Authors
  1. Livia Corsi
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  2. Giuseppe Genovese
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Correspondence to Livia Corsi.

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Communicated by H. Spohn

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Corsi, L., Genovese, G. Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain. Commun. Math. Phys. 354, 1173–1203 (2017). https://doi.org/10.1007/s00220-017-2917-7

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  • DOI: https://doi.org/10.1007/s00220-017-2917-7

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