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Related papers: Disorder in the Sachdev-Yee-Kitaev Model

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We investigate the non-equilibrium dynamics of a resonant level model coupled to a strongly interacting electron bath modeled by a Sachdev-Ye-Kitaev (SYK) model. Different from the well-investigated case of a structureless non-interacting…

Strongly Correlated Electrons · Physics 2026-03-27 Anastasia Enckell , Stefan Kehrein

A brief survey of some random quantum models with infinite-range couplings is presented, ranging from the quantum Ising model to the Sachdev-Ye-Kitaev model. The Sachdev-Ye-Kitaev model was the first to realize an extensive zero temperature…

High Energy Physics - Theory · Physics 2024-12-24 Subir Sachdev

The Sachdev-Ye-Kitaev (SYK) model is a disordered quantum mean-field model studied in condensed matter physics and the holographic theory of black holes. Its structural properties can be derived heuristically using a combination of the…

Disordered Systems and Neural Networks · Physics 2026-05-05 David Gamarnik , Francisco Pernice , Alexander Schmidhuber , Alexander Zlokapa

We consider a non-equilibrium generalization of the mixed SYK$_4$+SYK$_2$ model and calculate the energy dissipation rate $W(\omega)$ that results due to periodic modulation of random quadratic matrix elements with a frequency $\omega$. We…

Strongly Correlated Electrons · Physics 2022-01-26 A. V. Lunkin , M. V. Feigel'man

We establish the integrability of a family of Sachdev-Ye-Kitaev (SYK) models with uniform $p$-body interactions. We derive the R-matrix and mutually commuting transfer matrices that generate the Hamiltonians of these models, and obtain…

Statistical Mechanics · Physics 2026-03-05 Kohei Fukai , Hosho Katsura

Quantum computers are expected to be vital for exploring complex dynamics in many-body quantum systems. Thus, validating established results on current quantum computers is essential for evaluating their future utility. Hence, we…

Quantum Physics · Physics 2025-12-17 Talal Ahmed Chowdhury , Kwangmin Yu , Raza Sabbir Sufian

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

The complex Sachdev-Ye-Kitaev (cSYK) model is a charge-conserving model of randomly interacting fermions. The interaction term can be chosen such that the model exhibits chiral symmetry. Then, depending on the charge sector and the number…

High Energy Physics - Theory · Physics 2020-03-24 Jan Behrends , Benjamin Béri

The Sachdev-Ye-Kitaev (SYK) model describes electrons with random and all-to-all interactions, and realizes a many-body state without quasiparticle excitations, and a non-vanishing extensive entropy $S_0$ in the zero temperature limit. Its…

Strongly Correlated Electrons · Physics 2020-07-01 Alexander Kruchkov , Aavishkar Patel , Philip Kim , Subir Sachdev

We contrast some aspects of various SYK-like models with large-$N$ melonic behavior. First, we note that ungauged tensor models can exhibit symmetry breaking, even though these are 0+1 dimensional theories. Related to this, we show that…

High Energy Physics - Theory · Physics 2018-02-14 Chethan Krishnan , K. V. Pavan Kumar , Dario Rosa

Electronic transport in nano-structures, such as long molecules or 2D exfoliated flakes, often goes through a nearly degenerate set of single-particle orbitals. Here we show that in such cases a conspiracy of the narrow band and strong e-e…

Strongly Correlated Electrons · Physics 2020-03-06 Alexander Altland , Dmitry Bagrets , Alex Kamenev

We study the SYK model -- an important toy model for quantum gravity on IBM's superconducting qubit quantum computers. By using a graph-coloring algorithm to minimize the number of commuting clusters of terms in the qubitized Hamiltonian,…

Quantum Physics · Physics 2024-05-03 Muhammad Asaduzzaman , Raghav G. Jha , Bharath Sambasivam

We study universal spatial features of certain non-equilibrium steady states corresponding to flows of strongly correlated fluids over obstacles. This allows us to predict universal spatial features of far-from-equilibrium systems, which in…

High Energy Physics - Theory · Physics 2018-10-31 Igor Novak , Julian Sonner , Benjamin Withers

Periodically driven quantum matter can realize exotic dynamical phases. In order to understand how ubiquitous and robust these phases are, it is pertinent to investigate the heating dynamics of generic interacting quantum systems. Here we…

Strongly Correlated Electrons · Physics 2020-03-31 Clemens Kuhlenkamp , Michael Knap

The identification, description, and classification of topological features is an engine of discovery and innovation in several fields of physics. This research encompasses a broad variety of systems, from the integer and fractional Chern…

Strongly Correlated Electrons · Physics 2025-02-04 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Can Yin

The SYK model has played an important role in recent developments in many-body quantum chaos. We study a spatially local generalisation of it: the SYK lattice. Starting from the nonlinear action of pseudo-Goldstone bosons that dominate its…

High Energy Physics - Theory · Physics 2026-04-22 Marta Bucca , Akash Jain , Márk Mezei , Alexey Milekhin

We study the spread of R\'enyi entropy between two halves of a Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield double (TFD) state. The SYK chain model is a model of chaotic many-body systems, which describes a…

High Energy Physics - Theory · Physics 2017-09-29 Yingfei Gu , Andrew Lucas , Xiao-Liang Qi

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 version of the 2-body Sachdev-Ye-Kitaev (SYK$_{2}$) model whose complex fermions exhibit twisted boundary conditions on the thermal circle. As we show, this is physically equivalent to coupling the fermions to a 1-dimensional…

High Energy Physics - Theory · Physics 2024-01-25 Jeff Murugan , Ruach Pillay Slayen , Hendrik J. R. Van Zyl

In this work, we study a type of commuting SYK model in which all terms in the Hamiltonian are commutative to each other. Because of the commutativity, this model has a large number of conserved charges and is integrable. After the ensemble…

High Energy Physics - Theory · Physics 2024-01-08 Ping Gao