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Particle-Time Duality in the Kicked Ising Chain II: Applications to the Spectrum

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 نشر من قبل Maram Akila
 تاريخ النشر 2016
  مجال البحث فيزياء
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Previously, we demonstrated that the dynamics of kicked spin chains possess a remarkable duality property. The trace of the unitary evolution operator for $N$ spins at time $T$ is related to one of a non-unitary evolution operator for $T$ spins at time $N$. Using this duality relation we obtain the oscillating part of the density of states for a large number of spins. Furthermore, the duality relation explains the anomalous short-time behavior of the spectral form factor previously observed in the literature.



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