Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model
arXiv:2107.07781 · doi:10.1103/PhysRevB.105.045105
Abstract
We study the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, with competing two bodies random interactions leading to maximally chaotic Non-Fermi Liquid dynamics and a single body term which dominates at low temperatures and leads to Fermi liquid behavior. For different quench protocols, including sudden switching of two-body interaction and double quench protocols, we solve the large real-time Dyson equation on the Keldysh contour and compute the dynamics of Green's functions from which we obtain effective temperature and relaxation rates. We show that the model thermalizes to a finite temperature equilibrium and that depending on the value of the quench parameters the effective temperature can be below or above the Fermi-Liquid to Non-Fermi Liquid crossover scale, which can then be accessed through the nonequilibrium dynamics. We identify quench protocols for which the heating dynamics slow down significantly, an effect that we interpret as a signature of prethermalization.
arXiv comment14 pages, 13 figures. Updated figures and bibliography
References in corpus (27)
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- The Spectrum in the Sachdev-Ye-Kitaev Model
- Bekenstein-Hawking Entropy and Strange Metals
- Interaction Quench in the Hubbard model
- Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Non-Fermi liquid regime of a doped Mott insulator
- Quantum Fluctuations of a Nearly Critical Heisenberg Spin Glass
- Prethermalization and universal dynamics in near-integrable quantum systems
- Solvable model for a dynamical quantum phase transition from fast to slow scrambling
- Power-law out of time order correlation functions in the SYK model
- Quantum quench of the Sachdev-Ye-Kitaev Model
- Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
- Mode coupling induced dissipative and thermal effects at long times after a quantum quench
- Linear resistivity and Sachdev-Ye-Kitaev (SYK) spin liquid behavior in a quantum critical metal with spin- fermions
- Transient Orthogonality Catastrophe in a Time Dependent Nonequilibrium Environment
- Transport and chaos in lattice Sachdev-Ye-Kitaev models
- Non-ergodic extended states in the SYK model
- Quantum Quenches and Thermalization in SYK models
- Comparison of Boltzmann Equations with Quantum Dynamics for Scalar Fields
- Periodically Driven Sachdev-Ye-Kitaev Models
- Eigenstate Thermalization Scaling in Majorana Clusters: from Chaotic to Integrable Sachdev-Ye-Kitaev Models
- Quantum criticality of granular SYK matter
- Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach
- A quantum Boltzmann equation for strongly correlated electrons
- Scrambling versus relaxation in Fermi and non-Fermi liquids
- Comment on "Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model"