中文
相关论文

相关论文: On large $q$ expansion in the Sachdev-Ye-Kitaev mo…

200 篇论文

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…

无序系统与神经网络 · 物理学 2026-05-05 David Gamarnik , Francisco Pernice , Alexander Schmidhuber , Alexander Zlokapa

We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the Majorana fermion operators. Here, the linear jump…

统计力学 · 物理学 2022-12-16 Anish Kulkarni , Tokiro Numasawa , Shinsei Ryu

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…

强关联电子 · 物理学 2022-01-25 Ramanjit Sohal , Laimei Nie , Xiao-Qi Sun , Eduardo Fradkin

The Sachdev--Ye--Kitaev (SYK) model is a prominent model of strongly interacting fermions that serves as a toy model of quantum gravity and black hole physics. In this work, we study the Trotter error and gate complexity of the quantum…

量子物理 · 物理学 2026-02-11 Yiyuan Chen , Jonas Helsen , Maris Ozols

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…

高能物理 - 理论 · 物理学 2025-10-01 Matthew Dodelson

Abstract We study a two-band dispersive Sachdev-Ye-Kitaev (SYK) model in 1 + 1 dimension. We suggest a model that describes a semimetal with quadratic dispersion at half-filling. We compute the Green's function at the saddle point using a…

强关联电子 · 物理学 2022-04-05 Geo Jose , Kangjun Seo , Bruno Uchoa

These notes are a short introduction to the Sachdev-Ye-Kitaev model. We discuss: SYK and tensor models as a new class of large N quantum field theories, the near-conformal invariance in the infrared, the computation of correlation…

高能物理 - 理论 · 物理学 2020-03-11 Vladimir Rosenhaus

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…

强关联电子 · 物理学 2022-04-06 Mikael Fremling , Masudul Haque , Lars Fritz

In this paper, we develop a general effective theory for two copies of the Sachdev-Ye-Kitaev (SYK) model with a time-dependent bilinear coupling. For a quantum quench problem with an initial state of the thermofield double state, we show…

高能物理 - 理论 · 物理学 2021-04-28 Yuri D. Lensky , Xiao-Liang Qi

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…

高能物理 - 理论 · 物理学 2024-01-25 Jeff Murugan , Ruach Pillay Slayen , Hendrik J. R. Van Zyl

The gap equation for fermions in a version of thermal QED in three dimensions is studied numerically in the Schwinger-Dyson formalism. The interest in this theory has been recently revived since it has been proposed as a model of…

高能物理 - 唯象学 · 物理学 2009-09-25 George Triantaphyllou

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…

高能物理 - 理论 · 物理学 2017-09-29 Yingfei Gu , Andrew Lucas , Xiao-Liang Qi

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…

强关联电子 · 物理学 2016-08-15 Dmitry Bagrets , Alexander Altland , Alex Kamenev

We continue the study of the Sachdev-Ye-Kitaev model in the Large $N$ limit. Following our formulation in terms of bi-local collective fields with dynamical reparametrization symmetry, we perform perturbative calculations around the…

高能物理 - 理论 · 物理学 2016-12-07 Antal Jevicki , Kenta Suzuki

We construct a new higher dimensional SYK model with complex fermions on bipartite lattices. As an extension of the original zero-dimensional SYK model, we focus on the one-dimension case, and similar Hamiltonian can be obtained in higher…

高能物理 - 理论 · 物理学 2018-01-29 Wenhe Cai , Xian-Hui Ge , Guo-Hong Yang

Sachdev-Ye-Kitaev (SYK) is a concrete solvable model with non-Fermi liquid behavior and maximal chaos. In this work, we study the entanglement R\'enyi entropy for the subsystems of the SYK model in the Kourkoulou-Maldacena states. We use…

高能物理 - 理论 · 物理学 2020-11-05 Pengfei Zhang

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 attracting a lot of interest as a toy model for holography.…

高能物理 - 理论 · 物理学 2018-06-20 Antonio M. García-García , Bruno Loureiro , Aurelio Romero-Bermúdez , Masaki Tezuka

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-$N$ solvable models: the Sachdev-Ye-Kitaev (SYK) model and its…

强关联电子 · 物理学 2022-03-04 Pengfei Zhang

The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled…

无序系统与神经网络 · 物理学 2017-10-04 Aaron Chew , Andrew Essin , Jason Alicea

In an isolated quantum many-body system undergoing unitary evolution, the entropy of a subsystem (smaller than half the system size) thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at…

统计力学 · 物理学 2025-06-02 Yichen Huang , Aram W. Harrow