Sachdev-Ye-Kitaev models and beyond: Window into non-Fermi liquids

D Chowdhury, A Georges, O Parcollet… - Reviews of Modern Physics, 2022 - APS
This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

Strongly correlated metal built from Sachdev-Ye-Kitaev models

XY Song, CM Jian, L Balents - Physical review letters, 2017 - APS
Prominent systems like the high-T c cuprates and heavy fermions display intriguing features
going beyond the quasiparticle description. The Sachdev-Ye-Kitaev (SYK) model describes …

Chaotic-integrable transition in the Sachdev-Ye-Kitaev model

AM García-García, B Loureiro, A Romero-Bermúdez… - Physical review …, 2018 - APS
Quantum chaos is one of the distinctive features of the Sachdev-Ye-Kitaev (SYK) model, N
Majorana fermions in 0+ 1 dimensions with infinite-range two-body interactions, which is …

Quantum quench of the Sachdev-Ye-Kitaev model

A Eberlein, V Kasper, S Sachdev, J Steinberg - Physical Review B, 2017 - APS
We describe the nonequilibrium quench dynamics of the Sachdev-Ye-Kitaev models of
fermions with random all-to-all interactions. These provide tractable models of the dynamics …

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 …

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 …

Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization

SK Jian, H Yao - Physical review letters, 2017 - APS
Many aspects of many-body localization (MBL) transitions remain elusive so far. Here, we
propose a higher-dimensional generalization of the Sachdev-Ye-Kitaev (SYK) model and …

Quantum entanglement of the Sachdev-Ye-Kitaev models

C Liu, X Chen, L Balents - Physical Review B, 2018 - APS
The Sachdev-Ye-Kitaev (SYK) model is a quantum-mechanical model of fermions
interacting with q-body random couplings. For q= 2, it describes free particles and is …

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 …

Universal entanglement transitions of free fermions with long-range non-unitary dynamics

P Zhang, C Liu, SK Jian, X Chen - Quantum, 2022 - quantum-journal.org
Non-unitary evolution can give rise to novel steady states classified by their entanglement
properties. In this work, we aim to understand the effect of long-range hop** that decays …