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 …

Quantum entanglement in the Sachdev—Ye—Kitaev model and its generalizations

P Zhang - Frontiers of Physics, 2022 - Springer
Entanglement is one of the most important concepts in quantum physics. We review recent
progress in understanding the quantum entanglement in many-body systems using large-N …

Lindbladian dissipation of strongly-correlated quantum matter

L Sá, P Ribeiro, T Prosen - Physical Review Research, 2022 - APS
We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of
dissipative many-body quantum chaos. It describes N strongly coupled Majorana fermions …

Replica wormhole and information retrieval in the SYK model coupled to Majorana chains

Y Chen, XL Qi, P Zhang - Journal of High Energy Physics, 2020 - Springer
A bstract Motivated by recent studies of the information paradox in (1+ 1)-D anti-de Sitter
spacetime with a bath described by a (1+ 1)-D conformal field theory, we study the dynamics …

Dynamical transition of operator size growth in quantum systems embedded in an environment

P Zhang, Z Yu - Physical Review Letters, 2023 - APS
In closed generic many-body systems, unitary evolution disperses local quantum information
into highly nonlocal objects, resulting in thermalization. Such a process is called information …

A random unitary circuit model for black hole evaporation

L Piroli, C Sünderhauf, XL Qi - Journal of High Energy Physics, 2020 - Springer
A bstract Inspired by the Hayden-Preskill protocol for black hole evaporation, we consider
the dynamics of a quantum many-body qudit system coupled to an external environment …

Emergent Replica Conformal Symmetry in Non-Hermitian SYK Chains

P Zhang, SK Jian, C Liu, X Chen - Quantum, 2021 - quantum-journal.org
Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel
critical phases with power-law squared correlations and a logarithmic subsystem …

Spread of entanglement in a Sachdev-Ye-Kitaev chain

Y Gu, A Lucas, XL Qi - Journal of High Energy Physics, 2017 - Springer
A bstract We study the spread of Rényi entropy between two halves of a Sachdev-Ye-Kitaev
(SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK …

Non-unitary dynamics of Sachdev-Ye-Kitaev chain

C Liu, P Zhang, X Chen - SciPost Physics, 2021 - scipost.org
We construct a series of one-dimensional non-unitary dynamics consisting of both unitary
and imaginary evolutions based on the Sachdev-Ye-Kitaev model. Starting from a short …

Information scrambling and entanglement dynamics of complex Brownian Sachdev-Ye-Kitaev models

P Zhang - Journal of High Energy Physics, 2023 - Springer
A bstract In this work, we study the information scrambling and the entanglement dynamics
in the complex Brownian Sachdev-Ye-Kitaev (cBSYK) models, focusing on their …