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相关论文: Unveiling operator growth in SYK quench dynamics

200 篇论文

Information scrambling refers to the unitary dynamics that quickly spreads and encodes localized quantum information over an entire many-body system and makes the information accessible from any small subsystem. While information scrambling…

强关联电子 · 物理学 2024-04-30 Yoshifumi Nakata , Masaki Tezuka

The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with q-body interactions, becomes in the large q limit a conformally-broken Liouville field theory. Taking this limit preserves many interesting properties of the model, yet…

高能物理 - 理论 · 物理学 2020-03-18 Alexandre Streicher

Operator scrambling is a crucial ingredient of quantum chaos. Specifically, in the quantum chaotic system, a simple operator can become increasingly complicated under unitary time evolution. This can be diagnosed by various measures such as…

强关联电子 · 物理学 2018-04-25 Xiao Chen , Tianci Zhou

The concepts of operator size and computational complexity play important roles in the study of quantum chaos and holographic duality because they help characterize the structure of time-evolving Heisenberg operators. It is particularly…

高能物理 - 理论 · 物理学 2021-03-09 Shao-Kai Jian , Brian Swingle , Zhuo-Yu Xian

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

We investigate quench dynamics in a one-dimensional spin model, comparing both quantum and classical descriptions. Our primary focus is on the different timescales involved in the evolution of the observables as they approach statistical…

统计力学 · 物理学 2024-11-21 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

We study a so-called semi-ergodic brickwork dual-unitary circuits where, in the infinite volume limit, the two-point correlation functions of single-site operators exhibit ergodic behavior along one light ray and non-ergodic behavior along…

统计力学 · 物理学 2026-03-23 Mao Tian Tan , Tomaž Prosen

Progress in the creation of large scale, artificial quantum coherent structures demands the investigation of their nonequilibrium dynamics when strong interactions, even between remote parts, are non-perturbative. Analysis of multiparticle…

We investigate the charging dynamics of Sachdev-Ye-Kitaev (SYK) models as quantum batteries, highlighting their capacity to achieve quantum charging advantages. By analytically deriving the scaling of the charging power in SYK batteries, we…

量子物理 · 物理学 2024-12-09 Francisco Divi , Jeff Murugan , Dario Rosa

Understanding how and whether local perturbations can affect the entire quantum system is a fundamental step in understanding non-equilibrium phenomena such as thermalization. This knowledge of non-equilibrium phenomena is applicable for…

无序系统与神经网络 · 物理学 2024-04-03 Eric Mascot , Masahiro Nozaki , Masaki Tezuka

We investigate the growth of operator size in the Lindbladian Sachdev-Ye-Kitaev model with $q$-body interaction terms and linear jump terms at finite dissipation strength. We compute the operator size as well as its distribution numerically…

高能物理 - 理论 · 物理学 2024-08-19 Jiasheng Liu , Rene Meyer , Zhuo-Yu Xian

We investigate signatures of quantum chaos within Ising spin chains subjected to transverse and longitudinal fields, incorporating both local (nearest-neighbor) and non-local (long-range) couplings. While local Ising models may exhibit…

The Sachdev-Ye-Kitaev (SYK) model is a system of $N$ Majorana fermions with random interactions and strongly chaotic dynamics, which at low energy admits a holographically dual description as two-dimensional Jackiw-Teitelboim gravity. Hence…

高能物理 - 理论 · 物理学 2024-10-01 Patrick Orman , Hrant Gharibyan , John Preskill

The nonlinear supermatrix $\sigma $-model is widely used to understand the physics of Anderson localization and the level statistics in noninteracting disordered electron systems. In contrast to the general belief that the supersymmetry…

强关联电子 · 物理学 2020-09-03 Tigran A. Sedrakyan , Konstantin B. Efetov

We consider the class of quantum stochastic evolutions ($SLH$-models) leading to a quantum dynamical semigroup over a fixed quantum mechanical system (taken to be finite-dimensional). We show that if the semigroup is dissipative, that is,…

量子物理 · 物理学 2019-02-04 J. E. Gough , H. I. Nurdin

We investigate the time evolution of the complexity of the operator by the Sachdev-Ye-Kitaev (SYK) model with $N$ Majorana fermions. We follow Nielsen's idea of complexity geometry and geodesics thereof. We show that it is possible that the…

高能物理 - 理论 · 物理学 2020-05-25 Run-Qiu Yang , Keun-Young Kim

The tractability of the Sachdev-Ye-Kitaev (SYK) model at large $N$ limit makes it ideal to theoretically study its chaotic non-Fermi liquid behavior and holographic duality properties. We show that the complex SYK Hamiltonian emerges from a…

量子气体 · 物理学 2021-02-03 Chenan Wei , Tigran A. Sedrakyan

We review our results for the dynamics of isolated many-body quantum systems described by one-dimensional spin-1/2 models. We explain how the evolution of these systems depends on the initial state and the strength of the perturbation that…

统计力学 · 物理学 2017-08-03 Lea F. Santos , E. Jonathan Torres-Herrera

We investigate the role of the nuclear spin quantum dynamics in hyperfine-induced spin relaxation of hopping carriers in organic semiconductors. The fast hopping regime with a small carrier spin precession during a waiting time between hops…

介观与纳米尺度物理 · 物理学 2017-06-21 V. V. Mkhitaryan , V. V. Dobrovitski

Several condensed-matter platforms have been proposed recently to realize the Sachdev-Ye-Kitaev (SYK) model in their low-energy limit. In these proposed realizations, the characteristic SYK behavior is expected to occur under certain…

强关联电子 · 物理学 2018-06-18 Étienne Lantagne-Hurtubise , Chengshu Li , Marcel Franz