Hybrid Brownian SYK-Hubbard Model: from Spectral Function to Quantum Chaos
arXiv:2510.16401 · doi:10.1007/JHEP11(2025)150
Abstract
Understanding the emergence of complex correlations in strongly interacting systems remains a fundamental challenge in quantum many-body physics. One fruitful approach is to develop solvable toy models that encapsulate universal properties shared by realistic systems. In this work, we introduce the Brownian SYK-Hubbard model, which combines the all-to-all random interactions of the Sachdev-Ye-Kitaev (SYK) model with on-site Hubbard-type interactions. This hybrid construction enables the study of the interplay between nonlocal random dynamics and local correlation effects: (1) As the interaction strength increases, the single-particle spectrum exhibits a transition from a single peak to a two-peak structure, signaling the onset of Mottness. (2) The spectral form factor undergoes a sequence of dynamical transitions as the evolution time increases before reaching the plateau in the long-time limit under strong Hubbard interactions. (3) The out-of-time-order correlator is computed by summing a series of modified ladder diagrams, which determines the quantum Lyapunov exponent and reveals a violation of the bound on branching time. Our results establish a new analytically tractable platform for exploring the effects of Hubbard interactions in chaotic many-body systems.
arXiv comment16 pages, 4 figures
References in corpus (29)
- A bound on chaos
- Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
- Comments on the Sachdev-Ye-Kitaev model
- Black holes and the butterfly effect
- Black holes as mirrors: quantum information in random subsystems
- Chaos in quantum channels
- Traversable Wormholes via a Double Trace Deformation
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Diving into traversable wormholes
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Solvable model for a dynamical quantum phase transition from fast to slow scrambling
- Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves
- Quantum Epidemiology: Operator Growth, Thermal Effects, and SYK
- Spread of entanglement in a Sachdev-Ye-Kitaev chain
- Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
- Quantum chaos in the Brownian SYK model with large finite : OTOCs and tripartite information
- On the relation between the magnitude and exponent of OTOCs
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- Lindbladian dissipation of strongly-correlated quantum matter
- Eigenstate entanglement in the Sachdev-Ye-Kitaev model
- Lindbladian dynamics of the Sachdev-Ye-Kitaev model
- Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
- Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
- Note on entropy dynamics in the Brownian SYK model
- Perturbative calculations of entanglement entropy
- Emergent Universal Quench Dynamics in Randomly Interacting Spin Models
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- Universal Hypothesis of Autocorrelation Function from Krylov Complexity
- Universal Aspects of High-Temperature Relaxation Dynamics in Random Spin Models