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

Autor:	Akila, M., Waltner, D., Gutkin, B., Guhr, T.
Rok vydání:	2016
Předmět:	Nonlinear Sciences - Chaotic Dynamics Condensed Matter - Statistical Mechanics Quantum Physics
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
Externí odkaz:	http://arxiv.org/abs/1602.07479 Zobrazit plný text záznamu View this record from Arxiv