Non-equilibrium Sachdev-Ye-Kitaev model with quadratic perturbation

Abstract

We consider a non-equilibrium generalization of the mixed SYK${}_4$+SYK${}_2$ model and calculate the energy dissipation rate $W(\omega )$ that results due to periodic modulation of random quadratic matrix elements with a frequency $\omega$. We find that $W(\omega )$ possesses a peak at $\omega$ close to the polaron energy splitting ${\omega }_R$ found recently (PRL 125, 196602), demonstrating the physical significance of this energy scale. Next, we study the effect of energy pumping with a finite amplitude at the resonance frequency ${\omega }_R$ and calculate, in presence of this pumping, non-equilibrium dissipation rate due to low-frequency parametric modulation. We found an unusual phenomenon similar to "dry friction" in presence of pumping.

Submission to SciPost 21 pages, 2 figures

References in corpus (1)

• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics

Cited by in corpus (1)

• High-frequency transport and zero-sound in an array of SYK quantum dots