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Strongly correlated metals comprise an enduring puzzle at the heart of condensed matter physics. Commonly a highly renormalized heavy Fermi liquid occurs below a small coherence scale, while at higher temperatures a broad incoherent regime…

Strongly Correlated Electrons · Physics 2017-11-29 Xue-Yang Song , Chao-Ming Jian , Leon Balents

We study a bipartite version of the Sachdev-Ye-Kitaev (SYK) model. We show that the model remains solvable in the limit of large-$N$ in the same sense as the original model if the ratio of both flavors is kept finite. The scaling dimensions…

Strongly Correlated Electrons · Physics 2022-04-06 Mikael Fremling , Masudul Haque , Lars Fritz

We investigate the thermalization of Sachdev-Ye-Kitaev (SYK) models coupled via random interactions following quenches from the perspective of entanglement. Previous studies have shown that when a system of two SYK models coupled by random…

Strongly Correlated Electrons · Physics 2022-01-25 Ramanjit Sohal , Laimei Nie , Xiao-Qi Sun , Eduardo Fradkin

We study the generalization of the Sachdev-Ye-Kitaev (SYK) model to a $1+1$ dimensional chiral SYK model of $N$ flavors of right-moving chiral Majorana fermions with all-to-all random 4-fermion interactions. The interactions in this model…

High Energy Physics - Theory · Physics 2022-01-14 Biao Lian , S. L. Sondhi , Zhenbin Yang

We develop a systematic and unified random matrix theory to classify Sachdev-Ye-Kitaev (SYK) and supersymmetric (SUSY) SYK models and also work out the structure of the energy levels in one periodic table. The SYK with even $q$- and SUSY…

Strongly Correlated Electrons · Physics 2020-07-01 Fadi Sun , Jinwu Ye

We propose an extension of the Sachdev-Ye-Kitaev (SYK) model that exhibits a quantum phase transition from the previously identified non-Fermi liquid fixed point to a Fermi liquid like state, while still allowing an exact solution in a…

Strongly Correlated Electrons · Physics 2017-04-21 Sumilan Banerjee , Ehud Altman

Non-equilibrium dynamics of unentangled and entangled pure states in interacting quantum systems is crucial for harnessing quantum information and to understand quantum thermalization. We develop a general Schwinger-Keldysh (SK) field…

Strongly Correlated Electrons · Physics 2025-11-04 Rishik Perugu , Arijit Haldar , Sumilan Banerjee

We consider the Sachdev-Ye-Kitaev (SYK) model as an effective theory arising at the zero-dimensional boundary of a many-body localized, Fermionic symmetry protected topological (SPT) phase in one spatial dimension. The Fermions at the…

Strongly Correlated Electrons · Physics 2017-04-05 Yi-Zhuang You , Andreas W. W. Ludwig , Cenke Xu

We study the electric and thermoelectric transport through a spinful complex Sachdev-Ye-Kitaev (SYK) quantum dot coupled to metallic leads, forming a N-SYK-N junction, by the Keldysh field theory approach. Unlike traditional equilibrium…

Strongly Correlated Electrons · Physics 2025-12-11 Marco Uguccioni , Daniele Morotti , Luca Dell'Anna

In this work, we investigate whether the Kitaev honeycomb model can serve as a starting point to realize the intriguing physics of the Sachdev-Ye-Kitaev (SYK) model. The starting point is to strain the system, which leads to flat bands…

Strongly Correlated Electrons · Physics 2022-03-14 Mikael Fremling , Lars Fritz

We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the $q\rightarrow\infty$ limit, where $q/2$ denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al.…

Strongly Correlated Electrons · Physics 2022-02-17 Jan C. Louw , Stefan Kehrein

In this Letter we consider the out-of-equilibrium phenomena in the complex Sachdev-Ye-Kitaev (SYK) model supplemented with the attractive Hubbard interaction (SYK+U). This model provides the clear-cut transition from non-Fermi liquid phase…

Strongly Correlated Electrons · Physics 2023-11-15 Artem Alexandrov , Alexander Gorsky

We study ground-state and thermodynamic properties of an $S=1$ Kitaev model. We first clarify the existence of global parity symmetry in addition to the local symmetry on each plaquette, which enables us to perform the large scale…

Strongly Correlated Electrons · Physics 2018-05-03 Akihisa Koga , Hiroyuki Tomishige , Joji Nasu

We show that strong quantum entanglement can support a stable traversable wormhole without any explicit interaction or tunnelling term between the two boundary theories of the wormhole. Specifically we work with two complex SYK models. The…

High Energy Physics - Theory · Physics 2020-07-15 Nilakash Sorokhaibam

Estimating thermal expectations of local observables is a natural target for quantum advantage. We give a simple classical algorithm that approximates thermal expectations for Gibbs states of local Hamiltonians, and we show it has…

Quantum Physics · Physics 2026-04-23 Alexander Zlokapa , Bobak T. Kiani

We study the open quantum dynamics of the Sachdev-Ye-Kitaev (SYK) model described by the Lindblad master equation, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the…

Statistical Mechanics · Physics 2023-08-07 Kohei Kawabata , Anish Kulkarni , Jiachen Li , Tokiro Numasawa , Shinsei Ryu

We revisit Brownian Sachdev-Ye-Kitaev model and argue that it has emergent energy conservation overlooked in the literature before. We solve this model in the double-scaled regime and demonstrate hyperfast scrambling, exponential decay of…

High Energy Physics - Theory · Physics 2024-07-25 Alexey Milekhin , Jiuci Xu

The Sachdev-Ye-Kitaev (SYK) model incorporates rich physics, ranging from exotic non-Fermi liquid states without quasiparticle excitations, to holographic duality and quantum chaos. However, its experimental realization remains a daunting…

Quantum Physics · Physics 2019-06-25 Zhihuang Luo , Yi-Zhuang You , Jun Li , Chao-Ming Jian , Dawei Lu , Cenke Xu , Bei Zeng , Raymond Laflamme

We consider the time evolution of multiple clusters of Brownian Sachdev-Ye-Kitaev (SYK), i.e. systems of N Majorana fermions with a noisy interaction term. In addition to the unitary evolution, we introduce two-fermion monitorings. We…

Statistical Mechanics · Physics 2025-07-16 Anastasiia Tiutiakina , Hugo Lóio , Guido Giachetti , Jacopo De Nardis , Andrea De Luca

We consider a recent proposal for a physical realization of the Sachdev-Ye-Kitaev (SYK) model in the zeroth-Landau-level sector of an irregularly-shaped graphene flake. We study in detail charge transport signatures of the unique non-Fermi…

Strongly Correlated Electrons · Physics 2019-01-21 Oguzhan Can , Emilian M. Nica , Marcel Franz
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