Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model

Abstract

We study the quantum quench of the Yukawa Sachdev-Ye-Kitaev model and one of its lattice extensions with $q$ fermions and one boson. Several equilibrium properties are computed for general $q$ with different parameter scaling within the large-$N$ dynamical mean field scheme. The non-Fermi liquid quench dynamics are studied by integrating the Kadanoff-Baym equations for switching off the lattice term with constant Yukawa coupling or quenching to different final Yukawa couplings. The post-quench oscillations and relaxation dynamics are insensitive to the quench amplitudes deep inside the non-Fermi liquid phase. With weak lattice coupling quenches, we find universal thermalization dynamics similar to the SYK model; however, with two temperatures and two distinct relaxation rates for bosons and fermions, both signal Planckian relaxations without quasiparticles, as in strange metals.

arXiv comment22 pages, 16 figures

References in corpus (39)

• Comments on the Sachdev-Ye-Kitaev model
• Nonequilibrium dynamical mean-field theory and its applications
• Bekenstein-Hawking Entropy and Strange Metals
• Notes on the complex Sachdev-Ye-Kitaev model
• Overscreened multi-channel SU(N) Kondo model : large-N solution and Conformal Field Theory
• Planckian Dissipation in Metals
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Theory of a Planckian metal
• Universal theory of strange metals from spatially random interactions
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• NESSi: The Non-Equilibrium Systems Simulation package
• Large $N$ theory of critical Fermi surfaces
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Large $N$ theory of critical Fermi surfaces II: conductivity
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Comparing the generalized Kadanoff-Baym ansatz with the full Kadanoff-Baym equations for an excitonic insulator out of equilibrium
• Pseudogaps in an Incoherent Metal
• Periodically Driven Sachdev-Ye-Kitaev Models
• Quantum Phase Transition in the Yukawa-SYK Model
• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• The Generalized Kadanoff-Baym Ansatz with Initial Correlations
• Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
• Dirac Fast Scramblers
• On large $q$ expansion in the Sachdev-Ye-Kitaev model
• Yukawa-SYK model and Self-tuned Quantum Criticality
• Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
• Localization of overdamped bosonic modes and transport in strange metals
• Thermalization of many many-body interacting SYK models
• A quantum Boltzmann equation for strongly correlated electrons
• Theory of shot noise in strange metals
• Tunable non-Fermi liquid phase from coupling to two-level systems
• Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
• The shared universality of charged black holes and the many many-body SYK model
• Quantum chaos and phase transition in the Yukawa-SYK model
• Solvable models of two-level systems coupled to itinerant electrons: Robust non-Fermi liquid and quantum critical pairing
• Strange metals and planckian transport in a gapless phase from spatially random interactions
• Non-Fermi liquid fixed point of the dissipative Yukawa-Sachdev-Ye-Kitaev model