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相关论文: Diffusive hydrodynamics of out-of-time-ordered cor…

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Out-of-time-order correlators (OTOCs) have been proposed as sensitive probes for chaos in interacting quantum systems. They exhibit a characteristic classical exponential growth, but saturate beyond the so-called scrambling or Ehrenfest…

统计力学 · 物理学 2018-09-25 Josef Rammensee , Juan-Diego Urbina , Klaus Richter

The growth of information scrambling, captured by out-of-time-order correlation functions (OTOCs), is a central indicator of the nature of many-body quantum dynamics. Here, we compute analytically the complete time dependence of the OTOC…

高能物理 - 理论 · 物理学 2025-11-21 Antonio M. García-García , Chang Liu , Lucas Sá , Jacobus J. M. Verbaarschot , Jie-ping Zheng

In this work, we derive an exact hydrodynamical description for the coupled, charge and operator dynamics, in a quantum many-body system with U(1) symmetry. Using an emergent symmetry in the complex Brownian SYK model with charge…

强关联电子 · 物理学 2023-05-12 Lakshya Agarwal , Subhayan Sahu , Shenglong Xu

We establish that there are properties of quantum many-body dynamics which are efficiently learnable if we are given access to out-of-time-order correlators (OTOCs), but which require exponentially many operations in the system size if we…

量子物理 · 物理学 2022-08-05 Jordan Cotler , Thomas Schuster , Masoud Mohseni

The out-of-time-ordered correlation (OTOC) and entanglement are two physically motivated and widely used probes of the "scrambling" of quantum information, a phenomenon that has drawn great interest recently in quantum gravity and many-body…

量子物理 · 物理学 2021-06-16 Aram W. Harrow , Linghang Kong , Zi-Wen Liu , Saeed Mehraban , Peter W. Shor

Out-of-time-ordered correlators (OTOCs) have been proposed as a tool to witness quantum information scrambling in many-body system dynamics. These correlators can be understood as averages over nonclassical multi-time quasi-probability…

量子物理 · 物理学 2020-01-29 Razieh Mohseninia , José Raúl González Alonso , Justin Dressel

We study a center-of-mass-conserving Brownian complex Sachdev-Ye-Kitaev model with long-range (power-law) interactions characterized by $1/r^\eta$. The kinetic constraint and long-range interactions conspire to yield rich hydrodynamics…

统计力学 · 物理学 2024-09-19 Bai-Lin Cheng , Shao-Kai Jian , Zhi-Cheng Yang

The idea of the out-of-time-order correlator (OTOC) has recently emerged in the study of both condensed matter systems and gravitational systems. It not only plays a key role in investigating the holographic duality between a strongly…

强关联电子 · 物理学 2017-07-26 Jun Li , Ruihua Fan , Hengyan Wang , Bingtian Ye , Bei Zeng , Hui Zhai , Xinhua Peng , Jiangfeng Du

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

Out-of-time-ordered correlators (OTOC) have been extensively used as a major tool for exploring quantum chaos and also recently, there has been a classical analogue. Studies have been limited to closed systems. In this work, we probe an…

统计力学 · 物理学 2020-11-11 Amit Kumar Chatterjee , Anupam Kundu , Manas Kulkarni

We study out-of-time order correlators (OTOCs) of the form $\langle\hat A(t)\hat B(0)\hat C(t)\hat D(0)\rangle$ for a quantum system weakly coupled to a dissipative environment. Such an open system may serve as a model of, e.g., a small…

介观与纳米尺度物理 · 物理学 2018-05-02 S. V. Syzranov , A. V. Gorshkov , V. Galitski

Scrambling of quantum information can be conveniently quantified by so called out-of-time-order-correlators (OTOCs), whose measurements presents a formidable experimental challenge. Here we report on a method for the measurement of OTOCs…

量子物理 · 物理学 2017-06-28 Michele Campisi , John Goold

The relaxation of out-of-time-ordered correlators (OTOCs) has been studied as a mean to characterize the scrambling properties of a quantum system. We show that the presence of local conserved quantities typically results in, at the…

统计力学 · 物理学 2021-09-22 Vinitha Balachandran , Giuliano Benenti , Giulio Casati , Dario Poletti

We use the out-of-time-order (OTO) correlators to study the slow dynamics in the many-body localized (MBL) phase. We investigate OTO correlators in the effective ("l-bit") model of the MBL phase, and show that their amplitudes after…

强关联电子 · 物理学 2017-08-15 Xiao Chen , Tianci Zhou , David A. Huse , Eduardo Fradkin

Out-of-time-ordered correlators (OTOCs) are an effective tool in characterizing black hole chaos, many-body thermalization and quantum dynamics instability. Previous research findings have shown that the OTOCs' exponential growth (EG) marks…

量子物理 · 物理学 2021-06-02 Wen-Lei Zhao , Yue Hu , Zhi Li , Qian Wang

Out-of-time-ordered correlation functions (OTOC's) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that in quantum spin and fermionic systems, where all local…

统计力学 · 物理学 2017-08-23 Ivan Kukuljan , Sašo Grozdanov , Tomaž Prosen

Out-of-time-ordered correlation functions (OTOCs) play a crucial role in the study of thermalization, entanglement, and quantum chaos, as they quantify the scrambling of quantum information due to complex interactions. As a consequence of…

Entanglement growth and out-of-time-order correlators (OTOC) are used to assess the propagation of information in isolated quantum systems. In this work, using large scale exact time-evolution we show that for weakly disordered…

无序系统与神经网络 · 物理学 2017-07-19 David J. Luitz , Yevgeny Bar Lev

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

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