Delayed Thermalization in Mass-Deformed SYK

Abstract

We study the thermalizing properties of the mass-deformed SYK model, in a regime of parameters where the eigenstates are ergodically extended over just portions of the full Fock space, as an all-to-all toy model of many-body localization. Our numerical results strongly support the hypothesis that, although considerably delayed, thermalization is still present in this regime. Our results add to recent studies indicating that many-body localization should be interpreted as a strict Fock-space localization.

9 pages, 6 figures

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• Krylov Delocalization/Localization across Ergodicity Breaking
• Role of Fock-space correlations in many-body localization
• Ergodicity-to-localization transition on random regular graphs with large connectivity and in many-body quantum dots
• Krylov Complexity in Mixed Phase Space
• Spectral statistics of a minimal quantum glass model
• The Rosenzweig Porter model revisited for the three Wigner Dyson symmetry classes
• Finite-size prethermalization at the chaos-to-integrable crossover
• Hayden-Preskill Recovery in Hamiltonian Systems
• Sachdev-Ye-Kitaev model: Non-self-averaging properties of the energy spectrum
• Scaling of many-body localization transitions: Quantum dynamics in Fock space and real space
• From Dyson Models to Many-Body Quantum Chaos
• Universal non-equilibrium dynamics of pure states and density-dependent thermalization in Sachdev-Ye-Kitaev model
• Many-body spectral transitions through the lens of the variable-range SYK2 model
• From single-particle to many-body chaos in Yukawa--SYK: theory and a cavity-QED proposal