Volume-law entanglement entropy of typical pure quantum states

E Bianchi, L Hackl, M Kieburg, M Rigol, L Vidmar - PRX Quantum, 2022 - APS
The entanglement entropy of subsystems of typical eigenstates of quantum many-body
Hamiltonians has recently been conjectured to be a diagnostic of quantum chaos and …

A Cordial Introduction to Double Scaled SYK

M Berkooz, O Mamroud - Reports on Progress in Physics, 2024 - iopscience.iop.org
We review recent progress regarding the double scaled Sachdev-Ye-Kitaev model and
other p-local quantum mechanical random Hamiltonians. These models exhibit an …

Krylov complexity in large q and double-scaled SYK model

B Bhattacharjee, P Nandy, T Pathak - Journal of High Energy Physics, 2023 - Springer
A bstract Considering the large q expansion of the Sachdev-Ye-Kitaev (SYK) model in the
two-stage limit, we compute the Lanczos coefficients, Krylov complexity, and the higher …

Towards a full solution of the large N double-scaled SYK model

M Berkooz, M Isachenkov, V Narovlansky… - Journal of High Energy …, 2019 - Springer
A bstract We compute the exact, all energy scale, 4-point function of the large N
doublescaled SYK model, by using only combinatorial tools and relating the correlation …

Quantum chaos in the Brownian SYK model with large finite N: OTOCs and tripartite information

C Sünderhauf, L Piroli, XL Qi, N Schuch… - Journal of High Energy …, 2019 - Springer
A bstract We consider the Brownian SYK model of N interacting Majorana fermions, with
random couplings that are taken to vary independently at each time. We study the out-of …

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 …

Path integral for chord diagrams and chaotic-integrable transitions in double scaled SYK

M Berkooz, N Brukner, Y Jia, O Mamroud - Physical Review D, 2024 - APS
We study transitions from chaotic to integrable Hamiltonians in the double scaled Sachdev-
Ye-Kitaev (SYK) and p-spin systems. The dynamics of our models is described by chord …

Sparse Sachdev-Ye-Kitaev model, quantum chaos, and gravity duals

AM García-García, Y Jia, D Rosa, JJM Verbaarschot - Physical Review D, 2021 - APS
We study a sparse Sachdev-Ye-Kitaev (SYK) model with N Majoranas where only∼ k N
independent matrix elements are nonzero. We identify a minimum k≳ 1 for quantum chaos …

Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction

M Berkooz, P Narayan, J Simon - Journal of High Energy Physics, 2018 - Springer
A bstract The exact 2-point function of certain physically motivated operators in SYK-like spin
glass models is computed, bypassing the Schwinger-Dyson equations. The models possess …

A measurable angular distribution for decays

B Bhattacharya, A Datta, S Kamali… - Journal of High Energy …, 2020 - Springer
A bstract At present, the measurements of\({R} _ {D^{\left (\ast\right)}}\) and RJ/ψ hint at new
physics (NP) in\(b\to c {\tau}^{-}\overline {v}\) decays. The angular distribution of\(\overline …