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The Sachdev-Ye-Kitaev (SYK) model, known for its strong quantum correlations and chaotic behavior, serves as a key platform for quantum gravity studies. However, variationally preparing thermal states on near-term quantum processors for…

量子物理 · 物理学 2025-06-05 Akash Kundu

We study the level statistics of a generalized Sachdev-Ye-Kitaev (SYK) model with two-body and one-body random interactions of finite range by exact diagonalization. Tuning the range of the one-body term, while keeping the two-body…

高能物理 - 理论 · 物理学 2019-02-06 Antonio M. García-García , Masaki Tezuka

The Sachdev-Ye-Kitaev model is an $N$-modes fermionic model with infinite range random interactions. In this work, we study the thermal R\'enyi entropy for a subsystem of the SYK model using the path-integral formalism in the large-$N$…

强关联电子 · 物理学 2020-07-01 Pengfei Zhang , Chunxiao Liu , Xiao Chen

We consider a version of the Sachdev-Ye-Kitaev model with complex fermions. We apply the shadow formalism to find four-point functions in the leading order in $1/N$ and dimensions of operators present in the theory. We also compute the…

高能物理 - 理论 · 物理学 2018-01-30 Ksenia Bulycheva

We give qualitative arguments for the mesoscopic nature of the Sachdev-Yee-Kitaev (SYK) model in the holographic regime with $q^2/N\ll 1$ with $N$ Majorana particles coupled by antisymmetric and random interactions of range $q$. Using a…

高能物理 - 理论 · 物理学 2017-10-11 Yizhuang Liu , Maciej A. Nowak , Ismail Zahed

In arXiv:1707.02197, the authors considered the Sachdev-Ye-Kitaev model with quadratic perturbation (also known as mass-deformed SYK), and claimed that the quantum Lyapunov exponent would vanish in the regime of low temperature and small…

统计力学 · 物理学 2021-03-15 Jaewon Kim , Xiangyu Cao

Sachdev-Ye-Kitaev (SYK) model has emerged as a new paradigm of the non-Fermi-liquid behavior. Here we investigate a possibility of having a superconducting off-diagonal long-range order (ODLRO) and a pseudogap phase within the SYK…

强关联电子 · 物理学 2020-07-08 Hanteng Wang , A. L. Chudnovskiy , Alexander Gorsky , Alex Kamenev

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…

强关联电子 · 物理学 2025-12-11 Marco Uguccioni , Daniele Morotti , Luca Dell'Anna

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…

强关联电子 · 物理学 2020-10-20 Sharmistha Sahoo , Étienne Lantagne-Hurtubise , Stephan Plugge , Marcel Franz

We study the effect of modular flow on correlation functions of fermions in the Sachdev-Ye-Kitaev (SYK) model coupled weakly to a bath, which we take to be another SYK model. The system and bath, together are prepared in the thermofield…

高能物理 - 理论 · 物理学 2026-05-01 Nicolò Bragagnolo , S. Prem Kumar

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…

高能物理 - 理论 · 物理学 2024-12-24 Subir Sachdev

Recently, studies have explored the statistics of matrix elements of local operators in the Lieb-Liniger model. It was found that the probability distribution function for off-diagonal matrix elements $\langle…

统计力学 · 物理学 2026-04-07 Tingfei Li , Shuanghong Li

A quantum computer based on Majorana qubits would contain a large number of zero-energy Majorana states. This system can be modelled as a connected network of the Ising-Kitaev chains alternating the "trivial" and "topological" regions, with…

介观与纳米尺度物理 · 物理学 2017-05-04 B. N. Narozhny

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…

量子物理 · 物理学 2025-12-17 Talal Ahmed Chowdhury , Kwangmin Yu , Raza Sabbir Sufian

The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum…

高能物理 - 理论 · 物理学 2018-02-27 Nicholas Hunter-Jones , Junyu Liu , Yehao Zhou

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…

强关联电子 · 物理学 2020-03-06 Alexander Altland , Dmitry Bagrets , Alex Kamenev

In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with $U(1)$ charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping…

高能物理 - 理论 · 物理学 2020-11-30 Pengfei Zhang

We study the possibility to realize Majorana zero mode that's robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work. To achieve this we first apply a uniform [111]…

强关联电子 · 物理学 2021-12-13 Lu Yang , Jia-Xing Zhang , Shuang Liang , Wei Chen , Qiang-Hua Wang

Equilibrium quantum many-body systems in the vicinity of phase transitions generically manifest universality. In contrast, limited knowledge has been gained on possible universal characteristics in the non-equilibrium evolution of systems…

强关联电子 · 物理学 2023-05-24 Soumik Bandyopadhyay , Philipp Uhrich , Alessio Paviglianiti , Philipp Hauke

We investigate chaotic to integrable transition in two types of hybrid SYK models which contain both $ q=4 $ SYK with interaction $ J $ and $ q=2 $ SYK with an interaction $ K $ in type-I or $(q=2)^2$ SYK with an interaction $ \sqrt{K} $ in…

强关联电子 · 物理学 2021-12-21 Fadi Sun , Yu Yi-Xiang , Jinwu Ye , W. -M. Liu