An introduction to the SYK model

V Rosenhaus - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
Abstract The Sachdev–Ye–Kitaev (SYK) model is a strongly coupled, quantum many-body
system that is chaotic, nearly conformally invariant, and exactly solvable. This remarkable …

Symmetry of open quantum systems: Classification of dissipative quantum chaos

K Kawabata, A Kulkarni, J Li, T Numasawa, S Ryu - PRX Quantum, 2023 - APS
We develop a theory of symmetry in open quantum systems. Using the operator-state
mapping, we characterize symmetry of Liouvillian superoperators for the open quantum …

Eternal traversable wormhole

J Maldacena, XL Qi - arXiv preprint arXiv:1804.00491, 2018 - arxiv.org
We construct a nearly-$ AdS_2 $ solution describing an eternal traversable wormhole. The
solution contains negative null energy generated by quantum fields under the influence of …

Operator complexity: a journey to the edge of Krylov space

E Rabinovici, A Sánchez-Garrido, R Shir… - Journal of High Energy …, 2021 - Springer
A bstract Heisenberg time evolution under a chaotic many-body Hamiltonian H transforms
an initially simple operator into an increasingly complex one, as it spreads over Hilbert …

Operator dynamics in Lindbladian SYK: a Krylov complexity perspective

B Bhattacharjee, P Nandy, T Pathak - Journal of High Energy Physics, 2024 - Springer
A bstract We use Krylov complexity to study operator growth in the q-body dissipative
Sachdev-Ye-Kitaev (SYK) model, where the dissipation is modeled by linear and random p …

Pure states in the SYK model and nearly- gravity

I Kourkoulou, J Maldacena - arXiv preprint arXiv:1707.02325, 2017 - arxiv.org
We consider pure states in the SYK model. These are given by a simple local condition on
the Majorana fermions, evolved over an interval in Euclidean time to project on to 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 …

Ultra-stable charging of fast-scrambling SYK quantum batteries

D Rosa, D Rossini, GM Andolina, M Polini… - Journal of High Energy …, 2020 - Springer
A bstract Collective behavior strongly influences the charging dynamics of quantum batteries
(QBs). Here, we study the impact of nonlocal correlations on the energy stored in a system 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 …

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 …