Quantum Quenches and Thermalization in SYK models

Abstract

We study non-equilibrium dynamics in SYK models using quantum quench. We consider models with two, four, and higher fermion interactions ($q=2,4$, and higher) and use two different types of quench protocol, which we call step and bump quenches. We analyse evolution of fermion two-point functions without long time averaging. We observe that in $q=2$ theory the two-point functions do not thermalize. We find thermalization in $q=4$ and higher theories without long time averaging. We calculate two different exponents of which one is equal to the coupling and the other is proportional to the final temperature. This result is more robust than thermalization obtained from long time averaging as proposed by the eigenstate thermalization hypothesis(ETH). Thermalization achieved without long time averaging is more akin to mixing than ergodicity.

arXiv commentPublished version + some minor corrections

References in corpus (58)

• Nonequilibrium dynamics of closed interacting quantum systems
• A bound on chaos
• Comments on the Sachdev-Ye-Kitaev model
• Entropy and Area
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Time-dependence of correlation functions following a quantum quench
• Fast Scramblers
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Chaos in AdS${}_2$ holography
• Quantum Quenches in Extended Systems
• An Investigation of AdS${}_2$ Backreaction and Holography
• The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
• Exact relaxation in a class of non-equilibrium quantum lattice systems
• Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
• Quantum quenches in 1+1 dimensional conformal field theories
• Fermionic Localization of the Schwarzian Theory
• Uncolored Random Tensors, Melon Diagrams, and the SYK Models
• Alternatives to Eigenstate Thermalization
• Holographic Thermalization
• Quantum Quenches in Integrable Field Theories
• Eternal traversable wormhole
• More on Supersymmetric and 2d Analogs of the SYK Model
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Quantum quench of the Sachdev-Ye-Kitaev Model
• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Chaotic-Integrable Transition in the Sachdev-Ye-Kitaev Model
• Higher Dimensional Generalizations of the SYK Model
• Quantum Chaos and Holographic Tensor Models
• Towards a 2d QFT Analog of the SYK Model
• Three Dimensional View of the SYK/AdS Duality
• 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
• Notes on Melonic $O(N{)}^{q-1}$ Tensor Models
• Spectra of Operators in Large $N$ Tensor Models
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
• Random free fermions: An analytical example of eigenstate thermalization
• Holographic dual to charged SYK from 3D Gravity and Chern-Simons
• Pure states in the SYK model and nearly-$Ad{S}_2$ gravity
• Space-Time in the SYK Model
• Three Dimensional View of Arbitrary $q$ SYK models
• Smooth and fast versus instantaneous quenches in quantum field theory
• SYK-like Tensor Models on the Lattice
• On Large $N$ Limit of Symmetric Traceless Tensor Models
• Instantaneous Thermalization in Holographic Plasmas
• Contrasting SYK-like Models
• Eigenstate Thermalization Scaling in Majorana Clusters: from Chaotic to Integrable Sachdev-Ye-Kitaev Models
• Bulk Renormalization Group Flows and Boundary States in Conformal Field Theories
• Weak Field Collapse in AdS: Introducing a Charge Density
• Supersymmetric SYK Model with Global Symmetry
• On thermalization in the SYK and supersymmetric SYK models
• Quantum Quenches in a Holographic Kondo Model
• An exactly solvable quench protocol for integrable spin models
• Entanglement Dynamics in 2D CFT with Boundary: Entropic origin of JT gravity and Schwarzian QM
• Thermalization with chemical potentials, and higher spin black holes
• Non-equilibrium scalar two point functions in AdS/CFT
• Thermalization and non-monotonic entanglement growth in an exactly solvable model

Cited by in corpus (35)

• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Ultra-stable charging of fast-scrambling SYK quantum batteries
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Lindbladian dissipation of strongly-correlated quantum matter
• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• Phase transition and chaos in charged SYK model
• Universal Constraints on Energy Flow and SYK Thermalization
• 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
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
• Rotating Black Holes in AdS, Extremality and Chaos
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
• SYK wormhole formation in real time
• Gravitational collapse in SYK models and Choptuik-like phenomenon
• Chaos exponents of SYK traversable wormholes
• Unveiling operator growth in SYK quench dynamics
• Late Time Quantum Chaos of pure states in the SYK model
• The Cosmological OTOC: A New Proposal for Quantifying Auto-Correlated Random Non-Chaotic Primordial Fluctuations
• Thermalization in different phases of charged SYK model
• Time-dependent $NAd{S}_2$ holography with applications
• Thermalization of Randomly Coupled SYK Models
• Floquet SYK wormholes
• Quantum Chaos, Thermodynamics and Black Hole Microstates in the mass deformed SYK model
• Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
• Thermalization and non-monotonic entanglement growth in an exactly solvable model
• SYK model based $\beta$ regime dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Disorder Enhanced Thermalization in Interacting Many-Particle System
• Quenches and (Pre)Thermalisation in a mixed Sachdev-Ye-Kitaev Model
• 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
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Sachdev-Ye-Kitaev Model in a Quantum Glassy Landscape
• Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems