Dual Approach to the Spectral Form Factor

N. Hahn, D. Waltner Fakultät für Physik, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany

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We study here the short-time behavior of the spectral form factor for chain-like many-body systems of arbitrary length N, an important tool to distinguish chaotic and integrable dynamics. We found in the past that while the long-time behavior of the spectral form factor is universal and follows predictions by Random Matrix Theory, it becomes highly system dependent for short times, even for large N in the disorder-free case. Now, our aim is to study to which extend this observation persists if a nonzero disorder is considered.

DOI:10.12693/APhysPolA.136.841 topics: spin chains, spectral form factor, disorder, perturbation theory