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We analytically study the Out-of-Time-Order Correlation functions (OTOC) for two spatially separated primary operators in two-dimensional unitary minimal models. Besides giving general arguments using the conformal symmetry, we also use the…

高能物理 - 理论 · 物理学 2018-09-20 Ruihua Fan

We find a Polyakov-type action for strings moving in a torsional Newton-Cartan geometry. This is obtained by starting with the relativistic Polyakov action and fixing the momentum of the string along a non-compact null isometry. For a flat…

高能物理 - 理论 · 物理学 2019-01-04 Troels Harmark , Jelle Hartong , Lorenzo Menculini , Niels A. Obers , Ziqi Yan

Out-of-time-ordered-correlators (OTOCs) have been suggested as a means to diagnose chaotic behavior in quantum mechanical systems. Recently, it was found that OTOCs display exponential growth for the inverted quantum harmonic oscillator,…

高能物理 - 理论 · 物理学 2024-08-26 Paul Romatschke

Out-of-time-order correlators (OTOC) are considered to be a promising tool to characterize chaos in quantum systems. In this paper we study OTOC in XY model. With the presence of anisotropic parameter $\gamma$ and external magnetic field…

统计力学 · 物理学 2020-08-26 Jiahui Bao , Cheng-Yong Zhang

We study the contour dependence of the out-of-time-ordered correlation function (OTOC) both in weakly coupled field theory and in the Sachdev-Ye-Kitaev (SYK) model. We show that its value, including its Lyapunov spectrum, depends…

高能物理 - 理论 · 物理学 2019-07-26 Aurelio Romero-Bermúdez , Koenraad Schalm , Vincenzo Scopelliti

It has been conjectured by Maldacena, Shenker, and Stanford [J. High Energy Phys.~08 (2016) 106] that the exponential growth rate of the out-of-time-ordered correlator (OTOC) $F(t)$ has a universal upper bound $2\pi k_B T/\hbar$. Here we…

统计力学 · 物理学 2018-08-08 Naoto Tsuji , Tomohiro Shitara , Masahito Ueda

Out-of-Time-Order-Correlator (OTOC) and Loschmidt Echo (LE) are commonly regarded as diagnostic tools for chaos, although they may yield misleading results because of various other factors. Previous studies have concluded that OTOC shows…

量子物理 · 物理学 2025-07-01 Pranaya Pratik Das , Biplab Ganguli

Out of time ordered correlators (OTOCs) are useful tools for investigating foundational questions such as thermalization in closed quantum systems because they can potentially distinguish between integrable and nonintegrable dynamics. Here…

统计力学 · 物理学 2023-10-04 Jonathon Riddell , Wyatt Kirkby , D. H. J. O'Dell , Erik S. Sørensen

The underlying physical concept of computing out-of-time-ordered correlation (OTOC) is a significant new tool within the framework of quantum field theory, which now-a-days is treated as a measure of random fluctuations. In this paper, by…

综合物理 · 物理学 2021-06-03 Sayantan Choudhury

The out of time order correlator (OTOC) serves as a powerful tool for investigating quantum information spreading and chaos in complex systems. We present a method employing non-equilibrium dynamical mean-field theory (DMFT) and coherent…

强关联电子 · 物理学 2026-02-20 Chakradhar Rangi , Juana Moreno , Ka-Ming Tam

We compute Out-of-Time-Order correlators (OTOCs) for conformal field theories (CFTs) subjected to either continuous or discrete periodic drive protocols. This is achieved by an appropriate analytic continuation of the stroboscopic time.…

高能物理 - 理论 · 物理学 2022-09-07 Suchetan Das , Bobby Ezhuthachan , Arnab Kundu , Somnath Porey , Baishali Roy , K. Sengupta

We study the out-of-time-ordered correlator (OTOC) in a zero temperature two dimensional conformal field theory (CFT) under evolution by a Liouvillian composed of the Virasoro generators. A bound was conjectured in arXiv:1812.08657 on the…

高能物理 - 理论 · 物理学 2023-04-12 Surbhi Khetrapal

Fast scrambling, quantified by the exponential initial growth of Out-of-Time-Ordered-Correlators (OTOCs), is the ability to efficiently spread quantum correlations among the degrees of freedom of interacting systems, and constitutes a…

量子物理 · 物理学 2023-05-04 Felix Meier , Mathias Steinhuber , Juan Diego Urbina , Daniel Waltner , Thomas Guhr

We use exact diagonalization to study energy level statistics and out-of-time-order correlators (OTOCs) for the simplest supersymmetric extension $\hat{H}_S = \hat{H}_B \otimes I + \hat{x}_1 \otimes \sigma_1 + \hat{x}_2 \otimes \sigma_3$ of…

高能物理 - 理论 · 物理学 2022-08-02 P. V. Buividovich

The out-of-time ordered correlator (OTOC) is a measure of scrambling of quantum information. Scrambling is intuitively considered to be a significant feature of chaotic systems and thus the OTOC is widely used as a measure of chaos. For…

We study out-of-time-order correlators (OTOCs) of local operators in spatial-temporal invariant or random quantum circuits using light-like generators (LLG) -- many-body operators that exist in and act along the light-like directions. We…

量子物理 · 物理学 2023-10-10 Ke Huang , Xiao Li , David A. Huse , Amos Chan

Out-of-Time-Ordered Commutators (OTOCs), representing a key diagnostic for scrambling as a facet of short-time quantum chaos, have attracted wide-ranging interest, from many-body physics to quantum gravity. By means of a suitable form of…

混沌动力学 · 物理学 2025-12-24 Fabian Haneder , Gerrit Caspari , Juan Diego Urbina , Klaus Richter

The out-of-time-ordered correlator (OTOC) has emerged as an interesting object in both classical and quantum systems for probing the spatial spread and temporal growth of initially local perturbations in spatially extended chaotic systems.…

统计力学 · 物理学 2023-11-21 Dipankar Roy , David A. Huse , Manas Kulkarni

We consider two dimensional conformal field theory (CFT) with large central charge c in an excited state obtained by the insertion of an operator \Phi with large dimension \Delta_\Phi ~ O(c) at spatial infinities in the thermal state. We…

高能物理 - 理论 · 物理学 2020-01-08 Justin R. David , Timothy J. Hollowood , Surbhi Khetrapal , S. Prem Kumar

Recently introduced reparametrization mode operators in CFTs have been shown to govern stress tensor interactions $via$ the shadow operator formalism and seem to govern the effective dynamics of chaotic systems. We initiate a study of Ward…

高能物理 - 理论 · 物理学 2023-01-16 Arnab Kundu , Ayan K. Patra , Rohan R. Poojary