



@article {2640,
	title = {An exponential ramp in the quadratic Sachdev-Ye-Kitaev model},
	year = {2020},
	month = {6/26/2020},
	abstract = {<p>A long period of linear growth in the spectral form factor provides a universal diagnostic of quantum chaos at intermediate times. By contrast, the behavior of the spectral form factor in disordered integrable many-body models is not well understood. Here we study the two-body Sachdev-Ye-Kitaev model and show that the spectral form factor features an exponential ramp, in sharp contrast to the linear ramp in chaotic models. We find a novel mechanism for this exponential ramp in terms of a high-dimensional manifold of saddle points in the path integral formulation of the spectral form factor. This manifold arises because the theory enjoys a large symmetry group. With finite nonintegrable interaction strength, these delicate symmetries reduce to a relative time translation, causing the exponential ramp to give way to a linear ramp.</p>},
	url = {https://arxiv.org/abs/2006.15152},
	author = {Michael Winer and Shao-Kai Jian and Brian Swingle}
}
