Quantum chaos, scrambling and operator growth in deformed SYK models

S He, PHC Lau, ZY Xian, L Zhao - Journal of High Energy Physics, 2022 - Springer
A bstract In this work, we investigate the quantum chaos in various\(T\overline {T}\)-deformed
SYK models with finite N, including the SYK 4, the supersymmetric SYK 4, and the SYK 2 …

The multi-faceted inverted harmonic oscillator: Chaos and complexity

A Bhattacharyya, W Chemissany, SS Haque… - SciPost Physics …, 2021 - scipost.org
The harmonic oscillator is the paragon of physical models; conceptually and computationally
simple, yet rich enough to teach us about physics on scales that span classical mechanics to …

Exponential ramp in the quadratic sachdev-ye-kitaev model

M Winer, SK Jian, B Swingle - Physical Review Letters, 2020 - APS
A long period of linear growth in the spectral form factor provides a universal diagnostic of
quantum chaos at intermediate times. By contrast, the behavior of the spectral form factor in …

Towards the web of quantum chaos diagnostics

A Bhattacharyya, W Chemissany, SS Haque… - The European Physical …, 2022 - Springer
We study the connections between three quantities that can be used as diagnostics for
quantum chaos, ie, the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and …

Many-body level statistics of single-particle quantum chaos

Y Liao, A Vikram, V Galitski - Physical Review Letters, 2020 - APS
We consider a noninteracting many-fermion system populating levels of a unitary random
matrix ensemble (equivalent to the q= 2 complex Sachdev-Ye-Kitaev model)—a generic …

What is the simplest linear ramp?

S Das, SK Garg, C Krishnan, A Kundu - Journal of High Energy Physics, 2024 - Springer
A bstract We discuss conditions under which a deterministic sequence of real numbers,
interpreted as the set of eigenvalues of a Hamiltonian, can exhibit features usually …

Synthetic fuzzballs: a linear ramp from black hole normal modes

S Das, C Krishnan, AP Kumar, A Kundu - Journal of High Energy Physics, 2023 - Springer
A bstract We consider a black hole with a stretched horizon as a toy model for a fuzzball
microstate. The stretched horizon provides a cut-off, and therefore one can determine the …

Brickwall in rotating BTZ: a dip-ramp-plateau story

S Das, A Kundu - Journal of High Energy Physics, 2024 - Springer
A bstract In this article, building on our recent investigations and motivated by the fuzzball-
paradigm, we explore normal modes of a probe massless scalar field in the rotating BTZ …

Spectral form factor in the double-scaled SYK model

M Khramtsov, E Lanina - Journal of High Energy Physics, 2021 - Springer
A bstract In this note we study the spectral form factor in the SYK model in large q limit at
infinite temperature. We construct analytic solutions for the saddle point equations that …

Quantum many-body dynamics on the star graph

A Lucas - arXiv preprint arXiv:1903.01468, 2019 - arxiv.org
We study 2-local Hamiltonian quantum systems, consisting of qubits interacting on the star
graph of N vertices. We numerically demonstrate that these models are generically non …