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We study the low frequency spectra of complex Sachdev-Ye-Kitaev (SYK) models at general densities. The analysis applies also to SU($M$) magnets with random exchange at large $M$. The spectral densities are computed by numerical analysis of…

强关联电子 · 物理学 2021-03-03 Maria Tikhanovskaya , Haoyu Guo , Subir Sachdev , Grigory Tarnopolsky

The Sachdev-Ye-Kitaev (SYK) model is of paramount importance for the understanding of both strange metals and a microscopic theory of two-dimensional gravity. We study the interplay between Stabilizer R\'enyi Entropy (SRE) and entanglement…

量子物理 · 物理学 2025-12-09 Barbara Jasser , Jovan Odavić , Alioscia Hamma

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…

强关联电子 · 物理学 2022-03-14 Mikael Fremling , Lars Fritz

We study a sparse Sachdev-Ye-Kitaev (SYK) model with $N$ Majoranas where only $\sim k N$ independent matrix elements are non-zero. We identify a minimum $k \gtrsim 1$ for quantum chaos to occur by a level statistics analysis. The spectral…

高能物理 - 理论 · 物理学 2021-05-12 Antonio M. García-García , Yiyang Jia , Dario Rosa , Jacobus J. M. Verbaarschot

In this paper, we study the evaporation dynamics of the Sachdev-Ye-Kitaev (SYK) model, with an initial temperature $T_\chi$, by coupling it to a thermal bath with lower temperature $T_\psi<T_\chi$ modeled by a larger SYK model. The coupling…

强关联电子 · 物理学 2019-12-11 Pengfei Zhang

We evaluate the finite temperature partition sum and correlation functions of the Sachdev-Ye-Kitaev (SYK) model. Starting from a recently proposed mapping of the SYK model onto Liouville quantum mechanics, we obtain our results by exact…

强关联电子 · 物理学 2017-07-05 Dmitry Bagrets , Alexander Altland , Alex Kamenev

`Strange metals' with resistivity depending linearly on temperature $T$ down to low-$T$ have been a long-standing puzzle in condensed matter physics. Here, we consider a model of itinerant spin-$1/2$ fermions interacting via on-site Hubbard…

强关联电子 · 物理学 2020-09-14 Peter Cha , Nils Wentzell , Olivier Parcollet , Antoine Georges , Eun-Ah Kim

The Sachdev-Ye-Kitaev (SYK) model is a model of $q$ interacting fermions. Gross and Rosenhaus have proposed a generalization of the SYK model which involves fermions with different flavors. In terms of Feynman graphs, those flavors are…

高能物理 - 理论 · 物理学 2018-06-22 Valentin Bonzom , Luca Lionni , Adrian Tanasa

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

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

Supersymmetry is a powerful concept in quantum many-body physics. It helps to illuminate ground state properties of complex quantum systems and gives relations between correlation functions. In this work, we show that the Sachdev-Ye-Kitaev…

强关联电子 · 物理学 2020-06-15 Jan Behrends , Benjamin Béri

We study a series of perturbations on the Sachdev-Ye-Kitaev (SYK) model. We show that the chaotic non-Fermi liquid phase described by the ordinary $q = 4$ SYK model has marginally relevant/irrelevant (depending on the sign of the coupling…

强关联电子 · 物理学 2017-05-05 Zhen Bi , Chao-Ming Jian , Yi-Zhuang You , Kelly Ann Pawlak , Cenke Xu

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 show that a single-fermion quantum dot acquires odd-frequency Gor'kov anomalous averages in proximity to strongly correlated Majorana zero modes, described by the Sachdev-Ye-Kitaev (SYK) model. Despite the presence of finite anomalous…

介观与纳米尺度物理 · 物理学 2019-01-15 Nikolay V. Gnezdilov

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

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

We study the off-diagonal matrix elements of observables that break the translational symmetry of a spin-chain Hamiltonian, and as such connect energy eigenstates from different total quasimomentum sectors. We consider quantum-chaotic and…

统计力学 · 物理学 2020-12-08 Tyler LeBlond , Marcos Rigol

We show that a non-Hermitian two coupled Sachdev-Ye-Kitaev (SYK) model can provide thermodynamic structure equivalent to Hermitian two coupled SYK model. The energy spectrum, the entanglement degree of the ground states and the low energy…

高能物理 - 理论 · 物理学 2022-11-21 Wenhe Cai , Sizheng Cao , Xian-Hui Ge , Masataka Matsumoto , Sang-Jin Sin

We consider the Sachdev-Ye-Kitaev (SYK) model where interaction involves $q$ fermions at a time. We find the next order correction to the thermal two-point function in the large $q$ expansion. Using this result we find the next order…

高能物理 - 理论 · 物理学 2019-01-23 Grigory Tarnopolsky

We study the SYK$_4$ model with a weak SYK$_2$ term of magnitude $\Gamma$ beyond the simplest perturbative limit considered previously. For intermediate values of the perturbation strength, $J/N \ll \Gamma \ll J/\sqrt{N}$, fluctuations of…

强关联电子 · 物理学 2020-11-11 A. V. Lunkin , A. Yu. Kitaev , M. V. Feigel'man