Binary-coupling sparse Sachdev-Ye-Kitaev model: An improved model of quantum chaos and holography

M Tezuka, O Oktay, E Rinaldi, M Hanada, F Nori - Physical Review B, 2023 - APS
The sparse version of the Sachdev-Ye-Kitaev (SYK) model reproduces essential features of
the original SYK model while reducing the number of disorder parameters. In this Research …

Sparsity-Independent Lyapunov Exponent in the Sachdev-Ye-Kitaev Model

AM García-García, C Liu, JJM Verbaarschot - Physical Review Letters, 2024 - APS
The saturation of a recently proposed universal bound on the Lyapunov exponent has been
conjectured to signal the existence of a gravity dual. This saturation occurs in the low …

Krylov complexity as an order parameter for quantum chaotic-integrable transitions

M Baggioli, KB Huh, HS Jeong, KY Kim… - arXiv preprint arXiv …, 2024 - arxiv.org
Krylov complexity has recently emerged as a new paradigm to characterize quantum chaos
in many-body systems. However, which features of Krylov complexity are prerogative of …

Out-of-time-order correlators and Lyapunov exponents in sparse SYK

E Cáceres, T Guglielmo, B Kent… - Journal of High Energy …, 2023 - Springer
A bstract We use a combination of analytical and numerical methods to study out-of-time
order correlators (OTOCs) in the sparse Sachdev-Ye-Kitaev (SYK) model. We find that at a …

Random recursive hypergraphs

PL Krapivsky - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
Random recursive hypergraphs (RRHs) grow by adding, at each step, a vertex and an edge
formed by joining the new vertex to a randomly chosen existing edge. The model is …

Detecting quantum chaos via pseudo-entropy and negativity

S He, PHC Lau, L Zhao - arXiv preprint arXiv:2403.05875, 2024 - arxiv.org
Quantum informatic quantities such as entanglement entropy are useful in detecting
quantum phase transitions. Recently, a new entanglement measure called pseudo-entropy …

Aspects of deformed Schwarzian: From gravity partition function to late-time spectral form factor

A Bhattacharyya, S Ghosh, S Pal - Physical Review D, 2024 - APS
In this paper, we investigate different thermodynamic properties of TT¯+ JT¯ deformed
Schwarzian theory and its different gravitational perspectives. First, we compute the partition …

Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions

G Francica - Physical Review A, 2024 - APS
A quantum advantage can be achieved in the unitary charging of quantum batteries if their
cells are interacting. Here, we try to clarify with some analytical calculations whether and …

Generalized spectral form factor in random matrix theory

Z Wei, C Tan, R Zhang - Physical Review E, 2024 - APS
The spectral form factor (SFF) plays a crucial role in revealing the statistical properties of
energy-level distributions in complex systems. It is one of the tools to diagnose quantum …

Spectral Form Factor and Dynamical Localization

Č Lozej - Entropy, 2023 - mdpi.com
Quantum dynamical localization occurs when quantum interference stops the diffusion of
wave packets in momentum space. The expectation is that dynamical localization will occur …