Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
arXiv:2306.03898 · doi:10.1103/PhysRevB.108.104319
Abstract
We study thermalization dynamics in a fermion-phonon variant of the Sachdev-Ye-Kitaev model coupled to an external cold thermal bath of harmonic oscillators. We find that quantum critical fermions thermalize more efficiently than phonons, in sharp contrast to the behavior in the Fermi liquid regime. In addition, after a short prethermal stage, the system acquires a quasi-thermal distribution given by a time-dependent effective temperature, reminiscent of "hydrodynamic" relaxation. All physical observables relax at the same rate which scales with the final temperature through an exponent that depends universally on the low energy spectrum of the system and the bath. Such relaxation rate is derived using a hydrodynamic approximation in full agreement with the numerical solution of a set quantum kinetic equations derived from the Keldysh formalism for non-equilibrium Green's functions. Our results hint toward further research on the applicability of the hydrodynamic picture in the description of the late time dynamics of open quantum systems despite the absence of conserved quantities in regimes dominated by conserving collisions.
References in corpus (51)
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Generalized Gibbs ensemble in integrable lattice models
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Bekenstein-Hawking Entropy and Strange Metals
- Prethermalization
- Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
- Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
- Non-thermal fixed points: effective weak-coupling for strongly correlated systems far from equilibrium
- Prethermalization and universal dynamics in near-integrable quantum systems
- Scrambling and thermalization in a diffusive quantum many-body system
- Solvable model for a dynamical quantum phase transition from fast to slow scrambling
- Controlled nonperturbative dynamics of quantum fields out of equilibrium
- Bi-Local Holography in the SYK Model
- Notes on the complex Sachdev-Ye-Kitaev model
- Dynamical Cooper pairing in non-equilibrium electron-phonon systems
- Quantum critical states and phase transitions in the presence of non equilibrium noise
- Nonequilibrium steady states and transient dynamics of conventional superconductors under phonon driving
- The theory of parametrically amplified electron-phonon superconductivity
- Quantum quench of the Sachdev-Ye-Kitaev Model
- Towards a statistical theory of transport by strongly-interacting lattice fermions
- Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
- Hydrodynamic long-time tails after a quantum quench
- Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
- Large theory of critical Fermi surfaces
- Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
- Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
- The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas
- Dynamical crossovers in prethermal critical states
- Large theory of critical Fermi surfaces II: conductivity
- Twisting Anderson pseudospins with light: Quench dynamics in THz-pumped BCS superconductors
- Evaporation dynamics of the Sachdev-Ye-Kitaev model
- Quantum Quenches and Thermalization in SYK models
- Periodically Driven Sachdev-Ye-Kitaev Models
- Eliashberg equations for an electron-phonon version of the Sachdev-Ye-Kitaev model: Pair Breaking in non-Fermi liquid superconductors
- Quantum Phase Transition in the Yukawa-SYK Model
- Exploring many-body localization in quantum systems coupled to an environment via Wegner-Wilson flows
- Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
- Low-rank Sachdev-Ye-Kitaev models
- Dirac Fast Scramblers
- Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
- Yukawa-SYK model and Self-tuned Quantum Criticality
- Phase diagram of the spin-1/2 Yukawa-SYK model: Non-Fermi liquid, insulator, and superconductor
- Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
- Superconductivity of incoherent electrons in Yukawa-SYK model
- Fate of dynamical phases of a BCS superconductor beyond the dissipationless regimen
- Quantum chaos and phase transition in the Yukawa-SYK model
- Intrinsic dissipative Floquet superconductors beyond mean-field theory
Cited by in corpus (15)
- Strange metal and superconductor in the two-dimensional Yukawa-Sachdev-Ye-Kitaev model
- Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
- User-friendly TWA for dissipative spin dynamics
- Quantum-to-classical crossover in the spin glass dynamics of cavity QED simulators
- The foot, the fan, and the cuprate phase diagram: Fermi-volume-changing quantum phase transitions
- Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
- Prethermalization of light and matter in cavity-coupled Rydberg arrays
- Fractionalized Fermi liquids and the cuprate phase diagram
- Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
- Hot wormholes and chaos dynamics in a two-coupled SYK model
- Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
- From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
- Unveiling Novel Insights in Quantum Dynamics through Extended Sachdev-Ye-Kitaev Model
- Universal quench dynamics of lattice fermion Yukawa Sachdev-Ye-Kitaev model
- Josephson current through the SYK model