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Out-of-time-ordered correlators (OTOC) are a quantifier of quantum information scrambling and quantum chaos. We propose an efficient quantum algorithm to measure OTOCs that provides an exponential speed-up over the best known classical…

量子物理 · 物理学 2021-03-17 Sreeram PG , Naga Dileep Varikuti , Vaibhav Madhok

Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body…

量子物理 · 物理学 2021-12-06 Roy J. Garcia , You Zhou , Arthur Jaffe

The out-of-time-ordered correlator (OTOC) diagnoses quantum chaos and the scrambling of quantum information via the spread of entanglement. The OTOC encodes forward and reverse evolutions and has deep connections with the flow of time. So…

量子物理 · 物理学 2017-01-20 Nicole Yunger Halpern

Motivated by the famous ink-drop experiment, where ink droplets are used to determine the chaoticity of a fluid, we propose an experimentally implementable method for measuring the scrambling capacity of quantum processes. Here, a system of…

量子物理 · 物理学 2023-07-19 Magdalini Zonnios , Jesper Levinsen , Meera M. Parish , Felix A. Pollock , Kavan Modi

We show that the out-of-time-order correlation (OTOC) $ \langle W(t)^\dagger V(0)^\dagger W(t)V(0)\rangle$ in many-body localized (MBL) and marginal MBL systems can be efficiently calculated by the spectrum bifurcation renormalization group…

强关联电子 · 物理学 2017-05-03 Kevin Slagle , Zhen Bi , Yi-Zhuang You , Cenke Xu

The out-of-time-ordered correlator (OTOC) is central to the understanding of information scrambling in quantum many-body systems. In this work, we show that the OTOC in a quantum many-body system close to its critical point obeys dynamical…

量子物理 · 物理学 2019-11-13 Bo-Bo Wei , Gaoyong Sun , Myung-Joong Hwang

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

In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for information scrambling in quantum many-body systems. Here, we present exact analytical results for the OTOC for a typical pair of random local…

量子物理 · 物理学 2021-01-22 Georgios Styliaris , Namit Anand , Paolo Zanardi

As the out-of-time-order correlator (OTOC) is a measure of quantum chaos and an important observable in the context of AdS/CFT, we investigate the OTOC of holographic Skyrmion which is described by an analytical quantum mechanical system…

高能物理 - 理论 · 物理学 2024-01-10 Si-wen Li , Yi-peng Zhang , Hao-qian Li

We investigate both theoretically and numerically the dynamics of Out-of-Time-Ordered Correlators (OTOCs) in quantum resonance condition for a kicked rotor model. We employ various operators to construct OTOCs in order to thoroughly…

量子物理 · 物理学 2024-01-30 Guanling Li , Wen-Lei Zhao

The out-of-time-ordered correlators (OTOC) and the Loschmidt echo are two measures that are now widely being explored to characterize sensitivity to perturbations and information scrambling in complex quantum systems. Studying few qubits…

量子物理 · 物理学 2021-05-26 Sreeram PG , Vaibhav Madhok , Arul Lakshminarayan

The out-of-time-ordered correlators (OTOCs) have been proposed and widely used recently as a tool to define and describe many-body quantum chaos. Here, we develop the Keldysh non-linear sigma model technique to calculate these correlators…

无序系统与神经网络 · 物理学 2018-11-16 Yunxiang Liao , Victor Galitski

The out-of-time-ordered correlator (OTOC) is a powerful tool for probing quantum information scrambling, a fundamental process by which local information spreads irreversibly throughout a quantum many-body system. Experimentally measuring…

量子物理 · 物理学 2026-03-18 Haruki Emori , Hiroyasu Tajima

Out-of-time-order correlators (OTOCs) are a standard measure of quantum chaos. Of the four operators involved, one pair may be regarded as a source and the other as a probe. A usual approach, applicable to large-$N$ systems such as the SYK…

高能物理 - 理论 · 物理学 2022-03-24 Yingfei Gu , Alexei Kitaev , Pengfei Zhang

Out-of time-ordered correlators (OTOC) have recently attracted significant attention from the physics of many-body systems, to quantum black-holes, with an exponential growth of the OTOC indicating quantum chaos. Here we consider OTOC in…

量子物理 · 物理学 2019-07-03 Sivaprasad Omanakuttan , Arul Lakshminarayan

Out-of-time-ordered correlators (OTOCs) have received considerable recent attention as qualitative witnesses of information scrambling in many-body quantum systems. Theoretical discussions of OTOCs typically focus on closed systems, raising…

量子物理 · 物理学 2019-02-05 José Raúl González Alonso , Nicole Yunger Halpern , Justin Dressel

The out-of-time-order correlator (OTOC) has emerged as a central tool for quantifying decoherence across wide-ranging physical platforms. Here we demonstrate its direct measurement in a classical ensemble using nuclear magnetic resonance…

We propose a physical witness for dynamically detecting topological phase transitions (TPTs) via an experimentally observable out-of-time-order correlation (OTOC). The distinguishable OTOC dynamics appears in the topological trivial and…

量子物理 · 物理学 2023-02-14 Qian Bin , Liang-Liang Wan , Franco Nori , Ying Wu , Xin-You Lü

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

The out-of-time-order correlator (OTOC) quantifies information scrambling in quantum systems and serves as a key diagnostic of quantum chaos. In one-body systems with a classical counterpart, the relaxation of the OTOC is governed by…

量子物理 · 物理学 2026-03-03 Jerónimo Duarte , Ignacio García-Mata , Diego A. Wisniacki