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We study quantum mechanical models in which the dynamical degrees of freedom are real fermionic tensors of rank five and higher. They are the non-random counterparts of the Sachdev-Ye-Kitaev (SYK) models where the Hamiltonian couples six or…

高能物理 - 理论 · 物理学 2019-10-16 Igor R. Klebanov , Preethi N. Pallegar , Fedor K. Popov

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

The fermionic and bosonic zero modes of the 1D interacting Kitaev chain at the symmetric point are unveiled. The many-body structures of the Majorana zero modes in the topological region are given explicitly by carrying out perturbation…

强关联电子 · 物理学 2021-02-11 Yiming Wang , Zhidan Li , Qiang Han

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…

强关联电子 · 物理学 2020-03-31 Clemens Kuhlenkamp , Michael Knap

We study the Wishart-Sachdev-Ye-Kitaev (WSYK) model consisting of two $\hat{q}$-body Sachdev-Ye-Kitaev (SYK) models with general complex couplings, one the Hermitian conjugate of the other, living in off-diagonal blocks of a larger WSYK…

高能物理 - 理论 · 物理学 2022-01-10 Lucas Sá , Antonio M. García-García

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

Traversable wormhole teleportation in the Sachdev-Ye-Kitaev (SYK) model links quantum channel integrity to black hole interior dynamics, using teleportation fidelity to probe holographic scrambling. We subject the SYK boundary to a…

量子物理 · 物理学 2026-03-20 Sudhanva Joshi , Sunil Kumar Mishra

Through a mixture of analytic and numerical techniques, we explore the optimal approximation by a free Majorana state to individual disorder realizations of the Sachdev-Ye-Kitaev model, along with a generalization of it. We elucidate the…

统计力学 · 物理学 2020-06-02 Daniel Ish , Mark Srednicki

This paper considers a type of generalized large $q$ SYK models which include multi-body interactions between Majorana fermions. We derive an effective action in the limit of large $N$ and large $q$ (with ${~q^2\over N} $ small), and find a…

高能物理 - 理论 · 物理学 2019-09-04 Jiaqi Jiang , Zhenbin Yang

We introduce a tunable synthetic-dimension platform for realizing Kitaev-chain physics with high degree of control over Majorana zero modes. It is based on a generic Landau-quantized two dimensional electron system coupled to the magnetic…

介观与纳米尺度物理 · 物理学 2026-05-07 Adel Ali , Alexey Belyanin

We present a microscopic theory for quantum thermoelectric and heat transport in the Schwarzian regime of the Sachdev-Ye-Kitaev (SYK) model. As a charged fermion realization of the SYK model in nanostructures we assume a setup based on a…

强关联电子 · 物理学 2021-05-12 Andrei I. Pavlov , Mikhail N. Kiselev

A deep understanding of the mechanisms underlying many-body quantum chaos is one of the big challenges in contemporary theoretical physics. We tackle this problem in the context of a set of perturbed quadratic Sachdev-Ye-Kitaev (SYK)…

量子物理 · 物理学 2025-02-05 Alexei Andreanov , Matteo Carrega , Jeff Murugan , Jan Olle , Dario Rosa , Ruth Shir

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

We investigate the minimal Kitaev spin liquid on a single hexagon with three Ising-type exchange interactions proportional to $K_{x}$, $K_{y}$ and $K_{z}$. In the limit $K_{z}=0$, we find 32-fold zero-energy states, leading to 10 free…

强关联电子 · 物理学 2024-01-03 Motohiko Ezawa

The Sachdev-Ye-Kitaev (SYK$_{4}$) model has attracted attention for its fast scrambling properties and its thermalization rate that is set only by the temperature. In this work we ask the question of whether the SYK$_{4}$ model is also a…

强关联电子 · 物理学 2022-04-14 Ancel Larzul , Steven J. Thomson , M. Schiro

We study the 2D fermionic SYK model with Majorana fermions, featuring a quartic kinetic term and a $2q$-body interaction with Gaussian disorder. By minimizing the effective action or solving the SD equation for $q=1$, we determine that the…

高能物理 - 理论 · 物理学 2025-12-16 Xing Huang , Chen-Te Ma

The Sachdev-Ye-Kitaev model (SYK) is renowned for its short-time chaotic behavior, which plays a fundamental role in its application to various fields such as quantum gravity and holography. The Thouless energy, representing the energy…

强关联电子 · 物理学 2024-01-17 Richard Berkovits

The fermionic Kitaev chain is a canonical model featuring topological Majorana zero modes. We report the experimental realization of its bosonic analogue in a nano-optomechanical network where parametric interactions induce two-mode…

What distinguishes trivial from topological superluids in interacting many-body systems where the number of particles is conserved? Building on a class of integrable pairing Hamiltonians, we present a number-conserving, interacting…

介观与纳米尺度物理 · 物理学 2015-01-05 Gerardo Ortiz , Jorge Dukelsky , Emilio Cobanera , Carlos Esebbag , Carlo Beenakker

Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains…

介观与纳米尺度物理 · 物理学 2026-01-28 Mijanur Islam , Mahan Mohseni , Ibsal Assi , Daniel Miravet , Pawel Hawrylak