Particle-Time Duality in the Kicked Ising Chain II: Applications to the Spectrum
Autor: | Akila, M., Waltner, D., Gutkin, B., Guhr, T. |
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Rok vydání: | 2016 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1088/1751-8113/49/37/375101 |
Popis: | 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. Comment: 16 pages, 8 figures |
Databáze: | arXiv |
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