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Related papers: The extended diffusive Sachdev-Ye-Kitaev model as …

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We study the preparation of thermal states of the dense and sparse Sachdev-Ye-Kitaev (SYK) model using a variational quantum algorithm for $6 \le N \le 12$ Majorana fermions over a wide range of temperatures. Utilizing IBM's 127-qubit…

Quantum Physics · Physics 2024-10-22 Jack Y. Araz , Raghav G. Jha , Felix Ringer , Bharath Sambasivam

Developing a theoretical framework for conducting electronic fluids qualitatively distinct from those described by Landau's Fermi-liquid theory is of central importance to many outstanding problems in condensed matter physics. One such…

One of the most promising routes to non-fermi liquids and strange metals has been through SYK models \cite{Sachdev:2010um}, which necessarily involve large flavor degrees of freedom and interactions with imposed disorder. We introduce an…

Strongly Correlated Electrons · Physics 2024-02-07 G. C. Levine

We show that the proper inclusion of soft reparameterization modes in the Sachdev-Ye-Kitaev model of $N$ randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics. As a result, all zero…

Strongly Correlated Electrons · Physics 2016-08-15 Dmitry Bagrets , Alexander Altland , Alex Kamenev

In this paper, we investigate the effect of supersymmetry on the symmetry classification of random matrix theory ensembles. We mainly consider the random matrix behaviors in the $\mathcal{N}=1$ supersymmetric generalization of the…

High Energy Physics - Theory · Physics 2020-05-26 Tianlin Li , Junyu Liu , Yuan Xin , Yehao Zhou

A common wisdom posits that transports of conserved quantities across clean nonintegrable quantum systems at high temperatures are diffusive when probed from the emergent hydrodynamic regime. We show that this empirical paradigm may alter…

Strongly Correlated Electrons · Physics 2024-09-20 Chun Chen , Yan Chen , Xiaoqun Wang

We analyze thermal correlators in the Sachdev-Ye-Kitaev model away from the maximally chaotic limit. Despite the absence of a weakly curved black hole dual, the two point function decomposes into a sum over a discrete set of quasinormal…

High Energy Physics - Theory · Physics 2025-10-01 Matthew Dodelson

The Kitaev model is an exactly solvable model with a quantum spin liquid ground state. While this model was originally proposed as an $S=1/2$ spin model on a honeycomb lattice, extensions to higher-spin systems have recently attracted…

Strongly Correlated Electrons · Physics 2025-10-01 Daiki Sasamoto , Joji Nasu

Understanding the emergence of complex correlations in strongly interacting systems remains a fundamental challenge in quantum many-body physics. One fruitful approach is to develop solvable toy models that encapsulate universal properties…

Quantum Physics · Physics 2026-01-26 Ning Sun , Peng Zhang , Pengfei Zhang

Quantum entanglement and quantum magic are two distinct fundamental resources that enable quantum systems to exhibit complex phenomena beyond the capabilities of classical computer simulations. While quantum entanglement has been…

Quantum Physics · Physics 2026-02-10 Pengfei Zhang , Shuyan Zhou , Ning Sun

We compute the transport and chaos properties of lattices of quantum Sachdev-Ye-Kitaev islands coupled by single fermion hopping, and with the islands coupled to a large number of local, low energy phonons. We find two distinct regimes of…

Strongly Correlated Electrons · Physics 2021-03-26 Haoyu Guo , Yingfei Gu , Subir Sachdev

Glassy dynamics have time-reparametrization `softness': glasses fluctuate, and respond to external perturbations, primarily by changing the pace of their evolution. Remarkably, the same situation also appears in toy models of quantum field…

High Energy Physics - Theory · Physics 2024-01-09 Jorge Kurchan

Recent work has shown that coupling two identical Sachdev-Ye-Kitaev (SYK) models can realize a phase of matter that is holographically dual to an eternal traversable wormhole. This phase supports revival oscillations between two quantum…

Strongly Correlated Electrons · Physics 2020-10-20 Sharmistha Sahoo , Étienne Lantagne-Hurtubise , Stephan Plugge , Marcel Franz

We introduce two disorder-free variants of the Sachdev-Ye-Kitaev (SYK) model, demonstrate their integrability, and study their static and dynamical properties. Unlike diagrammatic techniques, the integrability of these models allows us to…

Strongly Correlated Electrons · Physics 2025-06-24 Soshun Ozaki , Hosho Katsura

We study chaos in a classical limit of the Sachdev-Ye-Kitaev (SYK) model obtained in a suitably defined large-S limit. The low-temperature Lyapunov exponent is found to depend linearly on temperature, with a slope that is parametrically…

Statistical Mechanics · Physics 2019-10-23 Thomas Scaffidi , Ehud Altman

We study an extended Kitaev model on the triangular lattice in a limit where the symmetric off-diagonal bond-dependent and Heisenberg interactions together map onto an XXZ model, in addition to the Kitaev interaction. Within the previously…

Strongly Correlated Electrons · Physics 2026-04-27 Bogeng Wen , Jiefu Cen , Hae-Young Kee

We study the thermodynamic properties of a two-site coupled complex Sachdev-Ye-Kitaev (SYK) model in the large $N$ limit by solving the saddle-point Schwinger-Dyson (SD) equations. We find that its phase diagram is richer than in the…

High Energy Physics - Theory · Physics 2021-06-02 Antonio M. García-García , Jie Ping Zheng , Vaios Ziogas

We model SYK (Sachdev-Ye-Kitaev) interactions in disordered graphene flakes up to 300 000 atoms ($\sim$100 nm in diameter) subjected to an out-of-plane magnetic field $B$ of 5-20 Tesla within the tight-binding formalism. We investigate two…

Strongly Correlated Electrons · Physics 2023-07-20 Marta Brzezinska , Yifei Guan , Oleg V. Yazyev , Subir Sachdev , Alexander Kruchkov

We discuss a supersymmetric generalization of the Sachdev-Ye-Kitaev model. These are quantum mechanical models involving $N$ Majorana fermions. The supercharge is given by a polynomial expression in terms of the Majorana fermions with…

High Energy Physics - Theory · Physics 2021-01-13 Wenbo Fu , Davide Gaiotto , Juan Maldacena , Subir Sachdev

A pair of identical Sachdev-Ye-Kitaev (SYK) models with bilinear coupling forms a quantum dual of a traversable wormhole, with a ground state close to the so called thermofield double state. We use adiabaticity arguments and numerical…

Strongly Correlated Electrons · Physics 2021-07-28 Rafael Haenel , Sharmistha Sahoo , Timothy H. Hsieh , Marcel Franz
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