Thermalization of many many-body interacting SYK models

Abstract

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the $q\to \infty$ limit, where $q/2$ denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al. [Phys. Rev. B 96, 205123 (2017)] to show that a single SYK $q\to \infty$ Hamiltonian for $t\ge 0$ is a perfect thermalizer in the sense that the local Green's function is instantaneously thermal. The only memories of the quantum state for $t<0$ are its charge density and its energy density at $t=0$. Our result is valid for all quantum states amenable to a~$1/q$-expansion, which are generated from an equilibrium SYK state in the asymptotic past and acted upon by an arbitrary combination of time-dependent SYK Hamiltonians for $t<0$. Importantly, this implies that a single SYK $q\to \infty$ Hamiltonian is a perfect thermalizer even for non-equilibrium states generated in this manner.

References in corpus (30)

• Chaos and Quantum Thermalization
• Thermalization and its mechanism for generic isolated quantum systems
• Nonequilibrium dynamics of closed interacting quantum systems
• 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
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Generalized Gibbs ensemble in integrable lattice models
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Eigenstate Thermalization Hypothesis
• Bekenstein-Hawking Entropy and Strange Metals
• Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
• Universal $T$-linear resistivity and Planckian limit in overdoped cuprates
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Notes on the complex Sachdev-Ye-Kitaev model
• Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
• Quantum quench of the Sachdev-Ye-Kitaev Model
• The Strange Metal State of the Electron-Doped Cuprates
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Quantum Quenches and Thermalization in SYK models
• SYK Model, Chaos and Conserved Charge
• Periodically Driven Sachdev-Ye-Kitaev Models
• Quench, thermalization and residual entropy across a non-Fermi liquid to Fermi liquid transition
• Phase transition and chaos in charged SYK model
• Black holes as random particles: entanglement dynamics in infinite range and matrix models
• On large $q$ expansion in the Sachdev-Ye-Kitaev model
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model

Cited by in corpus (16)

• Lindbladian dissipation of strongly-correlated quantum matter
• Binary-coupling sparse SYK: an improved model of quantum chaos and holography
• Krylov Delocalization/Localization across Ergodicity Breaking
• The shared universality of charged black holes and the many many-body SYK model
• Universal equilibration dynamics of the Sachdev-Ye-Kitaev model
• Matching partition functions of deformed JT gravity and the cSYK model
• Dynamics and Charge Fluctuations in Large-q Sachdev-Ye-Kitaev Lattices
• Thermodynamics and dynamics of coupled complex SYK models
• Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
• Current Correlations and Conductivity in SYK-Like Systems: An Analytical Study
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Universal quench dynamics of lattice $q$ fermion Yukawa Sachdev-Ye-Kitaev model
• Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems