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We study the out-of-equilibrium dynamics of a Sachdev-Ye-Kitaev (SYK) model, $N$ fermions with a $q$-body interaction of infinite range, coupled to a Markovian environment. Close to the infinite-temperature steady state, the real-time…

高能物理 - 理论 · 物理学 2023-05-05 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Jie Ping Zheng

The Maldacena-Qi model describes two copies of the Sachdev-Ye-Kitaev model coupled with an additional coupling, and is dual to the Jackiw-Teitelboim gravity which exhibits an eternal traversable wormhole in the low-temperature limit. In…

强关联电子 · 物理学 2020-12-18 Tian-Gang Zhou , Pengfei Zhang

We investigate the charged $q/2$-body interacting Sachdev-Ye-Kitaev (SYK) model in the grand-canonical ensemble. By treating $q$ as a large parameter, we are able to analytically study its phase diagram. By varying the chemical potential or…

强关联电子 · 物理学 2023-02-14 Jan Louw , Stefan Kehrein

In this letter we construct a large-N exactly solvable model to study the interplay between interaction and topology, by connecting Sacheve-Ye-Kitaev (SYK) model with constant hopping. The hopping forms a band structure that can exhibit…

强关联电子 · 物理学 2018-05-30 Pengfei Zhang , Hui Zhai

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…

高能物理 - 理论 · 物理学 2024-01-08 Ping Gao

In the infrared limit, a nearly anti-de Sitter spacetime in two dimensions (AdS$_2$) perturbed by a weak double trace deformation and a two-site $(q>2)$-body Sachdev-Ye-Kitaev (SYK) model with $N$ Majoranas and a weak $2r$-body intersite…

高能物理 - 理论 · 物理学 2024-02-09 Antonio M. García-García , Lucas Sá , Jacobus J. M. Verbaarschot , Can Yin

The Sachdev-Ye-Kitaev (SYK) model provides an analytically tractable framework for exotic strongly correlated phases where conventional paradigms like Landau's Fermi liquid theory collapse. This review offers a pedagogical introduction to…

高能物理 - 理论 · 物理学 2025-07-16 Rishabh Jha

This study explores the intricate real-time dynamics of a non-Hermitian system composed of two interconnected Sachdev-Ye-Kitaev (SYK) models. A central finding reveals that an excitation initially localized in the right SYK subsystem can be…

高能物理 - 理论 · 物理学 2024-08-27 Sizheng Cao , Xian-Hui Ge

We propose that the thermodynamics and the kinetics of the phase transition between wormhole and two black hole described by the two coupled SYK model can be investigated in terms of the stochastic dynamics on the underlying free energy…

高能物理 - 理论 · 物理学 2021-09-17 Ran Li , Jin Wang

Motivated by recent studies of the information paradox in (1+1)-D anti-de Sitter spacetime with a bath described by a (1+1)-D conformal field theory, we study the dynamics of second R\'{e}nyi entropy of the Sachdev-Ye-Kitaev (SYK) model…

高能物理 - 理论 · 物理学 2020-11-04 Yiming Chen , Xiao-Liang Qi , Pengfei Zhang

Building upon techniques employed in the construction of the Sachdev-Ye-Kitaev (SYK) model, which is a solvable $0+1$ dimensional model of a non-Fermi liquid, we develop a solvable, infinite-ranged random-hopping model of fermions coupled…

强关联电子 · 物理学 2018-09-20 Aavishkar A. Patel , Subir Sachdev

According to holography, entanglement is the building block of spacetime; therefore, drastic changes of entanglement will lead to interesting transitions in the dual spacetime. In this paper, we study the effect of projective measurements…

高能物理 - 理论 · 物理学 2023-03-01 Stefano Antonini , Brianna Grado-White , Shao-Kai Jian , Brian Swingle

It has been known that the large-$q$ complex SYK model falls under the same universality class as that of van der Waals (mean-field) and saturates the Maldacena-Shenker-Stanford bound, both features shared by various black holes. This makes…

高能物理 - 理论 · 物理学 2024-09-20 Jan C. Louw , Linda M. van Manen , Rishabh Jha

A feature the $\mathcal{N}=2$ supersymmetric Sachdev-Ye-Kitaev (SYK) model shares with extremal black holes is an exponentially large number of ground states that preserve supersymmetry. In fact, the dimension of the ground state subsector…

高能物理 - 理论 · 物理学 2023-12-20 Jan Boruch , Henry W. Lin , Cynthia Yan

We present a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-body systems without quasiparticle excitations, and its connections to various theoretical studies of non-Fermi liquids in condensed matter physics. The…

强关联电子 · 物理学 2022-12-06 Debanjan Chowdhury , Antoine Georges , Olivier Parcollet , Subir Sachdev

A recent article [Nature 612, 51-55 (2022)] claims to observe traversable wormhole dynamics in an experiment. This claim is based upon performing a teleportation protocol using a Hamiltonian that consists of seven Majorana fermions with…

量子物理 · 物理学 2023-02-17 Bryce Kobrin , Thomas Schuster , Norman Y. Yao

We propose a simple solvable variant of the Sachdev-Ye-Kitaev (SYK) model which displays a quantum phase transition from a fast-scrambling non-Fermi liquid to disordered Fermi liquid. Like the canonical SYK model, our variant involves a…

强关联电子 · 物理学 2019-07-24 Oguzhan Can , Marcel Franz

We study the open quantum dynamics of the Sachdev-Ye-Kitaev (SYK) model described by the Lindblad master equation, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the…

统计力学 · 物理学 2023-08-07 Kohei Kawabata , Anish Kulkarni , Jiachen Li , Tokiro Numasawa , Shinsei Ryu

Quantum error correction (QEC) codes are fundamentally linked to quantum phases of matter: the degenerate ground state manifold corresponds to the code space, while topological excitations represent error syndromes. Building on this…

量子物理 · 物理学 2024-11-01 Jaewon Kim , Ehud Altman , Jong Yeon Lee

The Sachdev-Ye-Kitaev (SYK) model is a concrete model for non-Fermi Liquid with maximally chaotic behavior in $0+1$-$d$. In order to gain some insights into real materials in higher dimensions where fermions could hop between different…

强关联电子 · 物理学 2017-11-29 Pengfei Zhang