Non-equilibrium Sachdev-Ye-Kitaev model with quadratic perturbation
Aleksey V. Lunkin, Mikhail V. Feigel’man
SciPost Phys. 12, 031 (2022) · published 20 January 2022
- doi: 10.21468/SciPostPhys.12.1.031
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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.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Lunkin Aleksey,
- 3 4 Mikhail V. Feigel'man
- 1 Высшая школа экономики / National Research University Higher School of Economics [HSE]
- 2 Skolkovo Institute of Science and Technology [Skoltech]
- 3 Институт теоретической физики им. Л. Д. Ландау / Landau Institute for Theoretical Physics
- 4 Московский физико-технический институт / Moscow Institute of Physics and Technology [MIPT (SU)]