Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator
Chaotic Dynamics
2016-09-21 v1 Quantum Physics
Abstract
We demonstrate that the dynamics of kicked spin chains possess a remarkable duality property. The trace of the unitary evolution operator for spins at time is related to one of a non-unitary evolution operator for spins at time . We investigate the spectrum of this dual operator with a focus on the different parameter regimes (chaotic, regular) of the spin chain. We present applications of this duality relation to spectral statistics in an accompanying paper.
Keywords
Cite
@article{arxiv.1602.07130,
title = {Particle-Time Duality in the Kicked Ising Chain I: The Dual Operator},
author = {M. Akila and D. Waltner and B. Gutkin and T. Guhr},
journal= {arXiv preprint arXiv:1602.07130},
year = {2016}
}
Comments
14 pages, 5 figures