Phase transition and chaos in charged SYK model
arXiv:1912.04326 · doi:10.1007/JHEP07(2020)055
Abstract
We study chaotic-integrable transition and the nature of quantum chaos in SYK model with chemical potential. We use a novel numerical technique to calculate the partition function explicitly. We show the phase transition in the presence of large chemical potential. We also show that a mass-like term consisting of two fermion random interaction (q=2 SYK term) does not give rise to a sharp transition. We find that turning on the chemical potential suppresses the Lyapunov exponent in the chaotic phase exponentially.
37 pages, minor revision of v2, 16 figures