Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
arXiv:2411.12421 · doi:10.1103/PhysRevB.111.195153
Abstract
The question of thermalization of a closed quantum system is of central interest in non-equilibrium quantum many-body physics. Here we present one such study analyzing the dynamics of a closed coupled Majorana SYK system. We have a large- SYK model prepared initially at equilibrium quenched by introducing a random hopping term, thus leading to non-equilibrium dynamics. We find that the final stationary state reaches thermal equilibrium with respect to the Green's functions and energy. Accordingly, the final state is characterized by calculating its final temperature and the thermalization rate. We provide a detailed review of analytical methods and derive the required Kadanoff-Baym equations, which are then solved using the algorithm developed in this work. Our results display rich thermalization dynamics in a closed quantum system in the thermodynamic limit.
arXiv commentPublished version, 34 pages, 16 figures
References in corpus (49)
- SciPy 1.0--Fundamental Algorithms for Scientific Computing in Python
- Chaos and Quantum Thermalization
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Nonequilibrium dynamical mean-field theory and its applications
- Generalized Gibbs ensemble in integrable lattice models
- Eigenstate Thermalization Hypothesis
- Black Holes and Random Matrices
- The approach to thermal equilibrium in quantized chaotic systems
- Bekenstein-Hawking Entropy and Strange Metals
- Dynamical phase transition in correlated fermionic lattice systems
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- Spectral and thermodynamic properties of the Sachdev-Ye-Kitaev model
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Thermal Fluctuations in Quantized Chaotic Systems
- AdS holography and the SYK model
- Numerical study of fermion and boson models with infinite-range random interactions
- Nonthermal steady states after an interaction quench in the Falicov-Kimball model
- Notes on the complex Sachdev-Ye-Kitaev model
- An introduction to the SYK model
- Quantum quench of the Sachdev-Ye-Kitaev Model
- NESSi: The Non-Equilibrium Systems Simulation package
- Eigenstate thermalization in the Sachdev-Ye-Kitaev model
- Far-from-equilibrium field theory of many-body quantum spin systems: Prethermalization and relaxation of spin spiral states in three dimensions
- Quantum ergodicity in the SYK model
- Random free fermions: An analytical example of eigenstate thermalization
- Transport and chaos in lattice Sachdev-Ye-Kitaev models
- Does the SYK model have a spin glass phase?
- Quantum Quenches and Thermalization in SYK models
- SYK Model, Chaos and Conserved Charge
- Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
- Non-thermal melting of Neel order in the Hubbard model
- Nonequilibrium dynamical mean-field theory for bosonic lattice models
- Phase transition and chaos in charged SYK model
- Black holes as random particles: entanglement dynamics in infinite range and matrix models
- Adaptive Numerical Solution of Kadanoff-Baym Equations
- Thermalization in mixtures of ultracold gases
- Thermalization of many many-body interacting SYK models
- Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
- Many-Body Localization in a finite-range Sachdev-Ye-Kitaev model
- Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
- Quantum Thermalization and the Expansion of Atomic Clouds
- Finite-size prethermalization at the chaos-to-integrable crossover
- Dynamics and Charge Fluctuations in Large-q Sachdev-Ye-Kitaev Lattices
- Contour calculus for many-particle functions
- Absence of operator growth for average equal-time observables in charge-conserved sectors of the Sachdev-Ye-Kitaev model
- Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study