Binary-coupling sparse Sachdev-Ye-Kitaev model: An improved model of quantum chaos and holography
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 …
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 …
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
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 …
in many-body systems. However, which features of Krylov complexity are prerogative of …
Out-of-time-order correlators and Lyapunov exponents in sparse SYK
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 …
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 …
formed by joining the new vertex to a randomly chosen existing edge. The model is …
Detecting quantum chaos via pseudo-entropy and negativity
Quantum informatic quantities such as entanglement entropy are useful in detecting
quantum phase transitions. Recently, a new entanglement measure called pseudo-entropy …
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 …
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 …
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 …
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 …
wave packets in momentum space. The expectation is that dynamical localization will occur …