Quantum quench of the Sachdev-Ye-Kitaev Model

Abstract

We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym equations show that the final state is thermal, and their numerical analysis appears consistent with a thermalization rate proportional to the absolute temperature of the final state. We also obtain an exact analytic solution of the non-equilibrium dynamics in the large $q$ limit of a model with $q$ fermion interactions: in this limit, the thermalization of the fermion Green's function is instantaneous.

35 pages, 9 figures; (v2) added clarifications and refs

References in corpus (5)

• An Investigation of AdS${}_2$ Backreaction and Holography
• Quantum chaos on a critical Fermi surface
• Spread of entanglement in a Sachdev-Ye-Kitaev chain
• Pure states in the SYK model and nearly-$Ad{S}_2$ gravity
• Strange metals and the AdS/CFT correspondence

Cited by in corpus (6)

• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Dispersive SYK model: band structure and quantum chaos
• Pure states in the SYK model and nearly-$Ad{S}_2$ gravity
• Evaporation dynamics of the Sachdev-Ye-Kitaev model
• Phases Of Melonic Quantum Mechanics
• Universal Constraints on Energy Flow and SYK Thermalization